Q: Find for the following function. dx 4 sin x y = 9 -8 sin x dy dx II
A:
Q: Question 11 dx 4+e A 4+e- B) 4e+1 E None Question 12 sin'ydy 1+ cosy A 1+cosy B 1- cosy siny sin'y
A: NOTE:- AS POSTED MULTIPLE QUESTION, WE ARE ANSWERING ONLY FIRST QUESTION FOR YOU AS PER BARTLEBY GUI...
Q: x?dx ax ax + Barctan () + C x2 + 49 Find: a + B + 8
A: Use formula for integration of 1/(x^2+(a^2))
Q: Find the general solution of y"- 10y'+ 25y - 0 Oy= Ce- + C2ze* Oy - Ce + Cwela Oy- Ce a + C,ze be Oy...
A: Given,y'' -10 y' + 25y = 0 .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...
Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+6y+6z=24. Roun...
A: Let's find.
Q: 2w2+9w+ 1 -dw is the same as w +4 2w + 1+ dw w+4 A 3 dw w+4 В 2w – 1- © S: 2w +1– dw w+4 67 dw D 2w ...
A:
Q: In( sin(x))dv using simple substitution, dv =f (x)dx_Determine the valut of /(x) if In order to eval...
A: The given integral is: I=∫lnsin x dv
Q: dx Evaluate x²/4 x²
A:
Q: Find the area bounded by the indicated equations. y = x 5, x = -5, x = 1, y = 0 В) 2604 15625 6 7813...
A: Given: y=x5, x=-5, x=1, y=0 The area of the curve by the bounded region is given by: A=∫x5dx Here, t...
Q: 1. f(x)=In(tan-x)
A:
Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...
A: Here we have to find out the convergence of The infinite series and then we find out the sum if it c...
Q: The integral csc(0.5) dx is equal to
A:
Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...
A:
Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2. Y = (7x³ + 3)6 ; y"
A:
Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...
A: A detailed solution is given below.
Q: Use cofunctions of complementary angles to complete the relationship. cos(42°) sin Additional Materi...
A:
Q: (x )dv, using simple substitution dv=f(x)dx_ Determine the value of f(x) if To evaluate the integral...
A:
Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5 si...
A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...
Q: Evaluate f(e* +2*) dx a.) 2e* ++C b.) e2* + 2ln* + C c.) e* ++C d) e2x + 2ln x + C Evaluate fesx-2 d...
A: This question is based on indefinite integral.
Q: I Eliminate the arbitrary constants y = C,e -2x COs 2x + ce <-2% SIn 3X
A:
Q: I. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1/...
A:
Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a ...
A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the amou...
Q: 1 Eliminabe the arbitrary constants C,e"cos 2x - 3X SIn 2x + - ZX Y C,e
A:
Q: 26. Evaluate sx sec²(5x²) dx a. 2 sec (5x) tan(5x2) + C b. 20 1 tan (5x) + C c. 10 tan (5x?) + C d. ...
A:
Q: The DE for the family of circles of radius 9 is: A [1+ (y')²]³+81=0 B ® [1+(y")*]³–81=o [1+(y')²]³– ...
A: The general equation of the circle with center (h,k) and radius r is ( x - h )2 + ( y - ...
Q: In each graph, a parent function has undergone a transformation of the form f(kx). Determine the equ...
A: We need to find the equation of transformed graph red using the graph of parent function green.
Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 3...
A: The given curve, y=x+2x-23 at x=1
Q: a'+ Vt 8. f(t)= За + 5
A:
Q: Vrite the first five terms of the sequence: +o0 ´13 In n n n=1 Determine whether the sequence conver...
A:
Q: An+1 -to determine if the sequence an { Use the ratio is 4n + 6 J =1 strictly increasing or strictly...
A:
Q: Vil 12 sin (x) cos' (x)dx by using walli's formula. 27. a is equal to? A.1 B.O C.1/10 D.pi/2 The def...
A:
Q: To evaluate the integral expression sin-(vVx )dv, using simple substitution dv = f (x) dx, Determine...
A:
Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...
A: 1) I=∫14-x2dx Let, u=x2, Then, x=2u and dx=2du now, the intergal becomes: I=∫14-(2u)22du I=2∫14-4...
Q: 11. Evaluate f- 2 sin 3x dx 4+cos 3x a.) -2 In 14+cos3x| + C b.) 3 In 14+cos3x| + C c.) - In 14+cos3...
A: Solve by integration
Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...
A:
Q: 8. 1 (b) 2 11k + 1 The series converges. eTextbo diverges. may or may not converge; it cannot be det...
A: A)∑k=1∞ 111k = 111+1112+1113+1114+.........+∞is the GEOMETRIC series with r = 111 < 1As per the p...
Q: A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the p...
A: Let the exponential law of growth: As given: t=13.28 hours hence at night around 1:28 a.m., the de...
Q: Question 11 ean -15t sech(en-15) t Evaluate: 1+25/2 A -tan-le tan -ISt + C B tan-le tan-15t --tan -l...
A:
Q: Rewrite the given equation of a quadratic surface and identify the graph. 12y2 – 3z2 = 16x
A: equation of the hyperbolic paraboloid A y2 - B z2 = 2 Cx
Q: The general solution of the DE: In-2y dx – y-le-3*dy=0 A None of the given choices B e – 3ln³y=c C) ...
A: Given: ln-2ydx-y-1e-3xdy=0 We know that; The Power rule: ∫xndx=xn+1n+1+C; n≠-1 And ∫eax+bdx=eax+ba+C...
Q: A body moves on a coordinate line such that it has a position s= f(t) = ? - 7t + 6 on the interval 0...
A: Given , S =f(t)=t2-7t+6 and interval 0≤t≤6 Formula: Average velocity =[ f(b)-f(a)]/(b-a)
Q: To evaluate / (3x2+ 1) In x dx using integration by parts, it is best to let A u= 3x2; dv= In x dx B...
A:
Q: population doubles in size every 29 years assuming exponential growth, find the a. annual growth rat...
A:
Q: x²-x-6 - lim x→-2 x+2
A: Since you have asked multiple questions in a single request we would be answering only the first que...
Q: 4. (D² +D-1)² y =0 ,when x= y = 0, y' = y" =1, y" = -1
A:
Q: Solve the differential equation:COsx dx +[sin(x+y) + sin(x – y)]dy=0
A: Given, cosxdx + [ sin(x + y) sin(x- y) ]dy = 0 we have to solve the differencial equation
Q: Assume that functions f and g are differentiable with f(- 3) = 4, f'(- 3) = - 4, g(- 3) = - 4, and g...
A:
Q: : / ain(tun3x)dx cos²3x tan( tan3x) dx Evaluate: A -in|sec(tan3x)| + c 3 B 3 -In|cos( tan3x)|+C O In...
A: On solving this we will get
Q: Given the function: f(x, y) = y°e -5x a. Find fyy(x, y) b. Find fyyæz (0, 1)
A: a)f(x,y)=y3e-5xPartial differetiate w.r.t yfy(x,y)=3y2e-5xPartial differetiate w.r.t yfyy(x,y)=6ye-5...
Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...
A:
Step by step
Solved in 2 steps with 2 images
- Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x² -0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1966). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend Odescend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction. the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.) 0Suppose you are climbing a hill whose shape is given by the equation z = 900- 0.005x² -0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (240, 240, 36). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? O ascend O descend At what rate (in vertical meters per horizontal meter)? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate (in vertical meters per horizontal meter)? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction is the slope largest? What is the rate of ascent (in vertical meters per horizontal meter) in that direction? (Round your answer to two decimal places.) vertical meters per horizontal meter At what angle (in degrees) above the horizontal does the path in that direction begin? (Round your answer to two decimal…Suppose you are climbing a hill whose shape is given by the equation z = 1800 – 0.005x² – 0.01y², where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1766). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? ascend descend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)
- Suppose you are climbing a hill whose shape is given by the equation z = 1800 - 0.005x? - 0.01y, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1766). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? O ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)If-y = 3x xy then find y at the point (2,6) in simplest form.Suppose you are climbing a hill whose shape is given by the equation z = 1200 – 0.005x? - 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1166). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? O ascend descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)
- Parallel to 2x + 4y = 5, passing through (1,2)Find the roots of the auxiliary equation. a) y"'-6y"-2y"+31y'+y = -(y'+y)Suppose you are climbing a hill whose shape is given by the equation z = 1300- 0.005x² - 0.01y², where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1266). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? Ⓒascend O descend At what rate? 1.6 X descend (b) If you walk northwest, will you start to ascend or descend? O ascend vertical meters per horizontal meter At what rate? (Round your answer to two decimal places.) .57 vertical meters per horizontal meter X (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.) 60.81
- A line 4x + y = 1 through the point A(2, −7) meets the line BC whose equation is 3x - 4y + 1 = 0 at the point B. Find the equation of the line AC, so that AB = AC.eliminate the parameter to obtain an equation in x and ySuppose you are climbing a hill whose shape is given by the equation z = 2,000 - 0.005x2 - 0.01y?, where x, y, and z are measured in meters, and you are standing at a point with coordinates (160, 160, 1616). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? O ascend O descend At what rate (in vertical meters per horizontal meter)? vertical meters per horizontal meter
