M13. Given the vector information v = 12, 0155° where the angle is made between the vector and the x-axis, what are the components of that vector? (-10.9, 5.1) (10.9, 5.1) (12, 12) (-5.1, 10.9)

Q: Find the critical point of the function f(x, y) = − (16x + 4y² + ln(|x + y))). C = Use the Second…

A: To find the critical point of the function fx, y=-16x+4y2+lnx+y. By using the second derivative test…

Q: 6. ✓Z-x=A S ^ =A\ 997 MO 4 3 103

A:

Q: Find the points (x, y) at which the polar curve 8 cos 0, horizontal tangent line. π VI 0 < 130 has a…

A:

Q: -1 The function f(x) = 6x + 8x¹ has one local minimum and one local maximum. This function has a…

A:

Q: where did the (t-1)/(t^2-1^2) come from. and why did you split the integrals and not just do one…

A:

Q: Evaluate each infinite geometric series described. 1 5) a₁ = 16, r == 4

A:

Q: 17-22 Explain why the function is discontinuous at the given number a. Sketch the graph of the…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: The function f(x) = -2x³ +39x² 240x + 4 has one local minimum and one local maximum. This function…

A:

Q: Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Question #22 In the following question, D(x) is the price (in dollars per unit) that consumers will…

A:

Q: Determine el siguiente integral ( S(e* + 5) dx Slet Para la barra de herramientas, pre (ex + 5) dx

A:

Q: The function P(x, y) = 6xy-4x²-3y² +100 is to be Question #18 maximized using the constraint x+3y=19

A:

Q: 5. Show all steps to convert the equation from Cartesian form to polar form. y=-2x+3

A: given y=-2x+3

Q: Analyze the function Yes No f(x) = [ ½ x + Your classmates may be analyzing different functions, so…

A:

Q: 9.. Convergence tests. a. Test the convergence of by using a limit comparison to a P-series. n²-n…

A:

Q: 32. The revenue from renting x apartments is R = 25(900 + 32x - x²) (a) Find the additional revenue…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  the…

Q: Use the dotted line as your y-axis and the solid gray line as the x-axis. Find the distance from the…

A: As you posted multiple subparts, so as per rule I need to solve only first three subparts.

Q: 4) Assume you are given the surface S with equation ಠ+ ³ + ² = 1. (a) Find the equation of the…

A: We have to find the equation of tangent plane at point 36,6,1.

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: a=-1, 6, 5b=7,4,1

Q: Question #12 -2≤x≤5 - Find the area under the curve f(x)=x² + 4x−3 on the interval

A: To find the area under the curve fx=x2+4x-3 on the interval -2≤x≤5.

Q: Construct an equation where the derivative of said equation is 1. Please involve quotient rule in…

A: To construct an equation where the derivative of said equation is 1. To involve the quotient rule in…

Q: Evaluate the indefinite or definite integrals: arctany a) +y² 22dx (Use Trig Sub) b) c) fxsin²x dx…

A:

Q: Evaluate the limits: Inx a) lim- xx-1 b) limx³e¹ ODE-I

A:

Q: Find f if f'(x) = 2 + cos(x), ƒ(0) = 10, ƒ(π/2) = 6. 2 f(x) = x² − cos(x) – (n - + - (x + 10 ) x +…

A:

Q: Find the arc length of y=- + x² 1 4 8x² on the interval [1,2]

A: Given that a function y= x4/4 + 1/8x2. We find arc length of this function in interval [1,2]

Q: Sketch the graph of the function f. √x - 6 -10 O -10 f(x): = -5 -5 -2x + 3 y 10 5 -5 -10 y 10 5 5…

A: According to question,Given Function,fx = x-6if x≤3-2x+3if x&gt;3

Q: a) What conditions on the functions g(t) and h(t) must be satisfied for the differential equation…

A: ( a ) Given differential equation g( t )dxdt + h( t )x = 0

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 5, 2), b = (-1,…

A: a=1,5,2b=-1,1,4c=5,1,3

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) -x + 9…

A: Function f(x) value (2x+2) when x greater then 0 and value (-x+9) when x less then 0

Q: Question # 31 - If the profit function for a company is P(x) = 0.4x²-300x-3000 where x is the number…

A: To find the marginal profit, we need to differentiate the profit function P(x) with respect to x,…

Q: Find the area of the region under the graph of the function f on the interval [1, 16]. f(x) = 6 √x…

A: NOTE: Refresh your page if you can't see any equations. . the given function is and the given…

Q: The goal of this question is to use Green's theorem to compute the area of the interior of the curve…

A:

Q: The line, L, makes an angle of 30° with the positive direction of the x-axis. Find the equation of…

A: line L which makes angle positive direction of x axis let slope of line L is m1 m1=tan(30°)=1/3

Q: -5 -4 -3 4 The above is the graph of the derivative f '(x). How many critical points does the…

A: We know that critical point 'x' of any function f(x) is where the derivative of f(x) which is f'(x)…

Q: Determine whether the series converges or diverges. 8n n² + 1 The series converges. O The series…

A: To determine whether the following series converges or diverges. ∑n=1∞ 8nn2+1 To determine the…

Q: Question # 23 ( relative extrema. f(x)=x² - 6x² Use the Second Derivative Test to find the x-values…

A:

Q: Shaki makes and sells backpack danglies. The total cost in dollars for Shaki to make q danglies is…

A: Given: Shaki makes and sells backpack danglies. The total cost in dollars forShaki to make q…

Q: The function f(x) = 7x+7-¹ has one local minimum and one local maximum. Algebraically use the…

A:

Q: (a) lim HIX √2+7z² 7+57

A: We know that the value of  1/infinity=0

Q: Use the shell method to find the volume of the solid generated when the region bounded by: y=(1+x²)…

A:

Q: (2) (a) Find the area of surface of the cone z = √y² + x² bounded by the plane 28. Make an sketch of…

A:

Q: Q11 Find the derivative of ƒ(x) = (x² + 5)(3x − 1) (a) By simplifying and then differentiating (b)…

A: Let two functions u and v then ddx( u,v ) = udvdx + vdudxGiven function f( x ) = ( x2 + 5 )( 3x - 1…

Q: What is the linearization function you should use in order to estimate tan π 4.1

A: What is the linearization function you should use in order to estimate tan(pi/4.1)?

Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a - T5(x) = 0. Using the…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=0 . take derivative…

Q: Given the function g(x) = 4x³ - 12x² - 96x, find the first derivative, g'(x). g'(x) Notice that…

A: g(x)=4x^3-12x^2-96x We have to find g'(x) and g"(x) Then find the point x=-2 where it is concave up…

Q: Question #6 - Find f(x, y) for the function below. f(x, y)=3x²+2y² + 3xy³ a) f(x,y)=4y+9xy² c) f(x,…

A:

Q: Find the volume of the solid bounded below by the circular cone z = 5x² + y² and above by the sphe…

A:

Q: Find the indefinite integral.   x2sin2(x) dx

A: Short Explanation::-

Q: Question 2.7b. Consider the linear system of differential equations x = 4x-6y Which of these is NOT…

A:

Q: The function f(x, y) = x² + 2y¹ + 8y² − 4xy² has stationary points at some of the following points.…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…