Q: (a) If y=f(x) = 7e²+3x² - 20x-5, find the derivative f '(x).
A: given that, y=f(x)=7ex+3x4-20x-5, find the derivative of f(x)? formula: ddx(xn)=nxn-1
Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x - y)dy = 0? None…
A:
Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…
A: Your option is incorrect but my solution is correct .
Q: Question 1. Find the solution of the following differential equations (i) cos²x sin x + (cos³x)y = 1
A:
Q: 5. Show that dy ay of dx of arccosx -1 √1-x²
A: Given that dydx of arccosx=-11-x2 We have to prove this derivative.
Q: If f(x) f'(x)= -3x sin²(x) + 3x cos² (x) + 3 cos(x) sin(x) = 3x sin x cos x, find Find f'(4) =
A:
Q: - Let 3x² + 1 13 10x - 7 ermine if f(x) is continuous at x = 2 by computing limit: f(x) = x 2
A: Given query is to find function is continuous or not on x = 2.
Q: If f (x) = x2 - 2x, find f (a + 1) and f (a + 2).
A: Given fucnction, fx=x2-2x
Q: dy What is the IF for solving the linear equation: x dx O O O O A. 3 X2 B. 3x 2 C. 3 -Lnx D. E. 3x e…
A: It is linear differential equation
Q: Use the vertex (h,k) and a point on the graph (x,y) to find the general form of the equation of…
A:
Q: 1. y arctan² (x³) =
A:
Q: Which of the following is a non-homogeneous function? tan³y/x OxLnx-xLny O x³ − xy + y² (y² + v²)³/2…
A: homogenous function is f( tx,ty ) = t^n f(x,y) option a) f(x,y) = tan (3y/x) now,…
Q: g(t) = -tan² (2+) +sin (3+¹+8+³) [[// (++1)]] cot " (cosh (3+1)), ift 71 if t <0 ifo≤t≤1
A:
Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4e³ − x²y² – 3x)dy = 0 when…
A:
Q: Sketch the region bounded by the curve x 2 = y and the line x = volume of the solid generated by…
A: solution:-the region bounded by y=x2-2 & x=y+2revolving around y=1
Q: fies a(t) = −9.8 + mv(t)², where v(t) is velocity, negative since the object is falling, and k is a…
A:
Q: Which of the equations below is a second order nonlinear differential equation? O B. O A. 2 dy |x²y…
A:
Q: sinx What is the integrating factor of (1+x) y + 2y = - 1+x
A: We have to find integrating factor for given differential equation.
Q: 7. Find (a) the slope of the c y=9x² -1; P(4,143) (a) The slope of the curve (Type an integer or a…
A: solution:-y=9x2-1slope= dydx=ddx9x2-1=18x(a)slope of tangent at point P(4, 143)slope = 18(4)=72
Q: Use the Gauss-Jordan method to solve the following system of equations. 3x + 8y4z = 0 5x - y + 5z =…
A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is augmented matrix is
Q: 15. Find the limit. lim X48 lim X-8 sin 15x 19x sin 15x 19x =
A: See this solution in below.
Q: Find the equation of the plane through P(2,-1,1) that is parallel to II: 2x + 3y +z - 12 = 0.
A:
Q: Evaluate the integral π/ 10 S 3cos 5t sin 5t dt. 0
A: Please see the below picture for detailed solution.
Q: . If (OM-ON) / - - - O A. B. O E. "Q y5 -5 then what is the integrating factor? None of the Choices
A:
Q: Which of the following equations is NOT a variable separable differential equation? OA. 2xydx + (x²…
A: NOTE: Refresh your page if you can't see any equations. . check the first DE now all x variables…
Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…
A:
Q: K A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges…
A:
Q: Which of the following equations can be made into a linear differential equation?
A:
Q: The integrating factor (IF) of the equation y' - 2ycot2x = 1-2xcot2x - 2csc2x
A: Given, y'-2x cot(2x)=1-2x cot(2x)-2 csc2x
Q: Which of the following statement is TRUE? O A. An ordinary differential equation (ODE) contains…
A:
Q: Uranium-238 (0-23 has a hall-me of 4. and determine that 67% of the original U-238 remains; the…
A: We will find the age of rock.
Q: Given the plane л: 2x + y - 3z - 2 = 0, and the lines l₁: 2 - Z-4 y-1 x+1 x==¹=24 and ₂: *1 = y…
A: (b) Given two lines l1: 2-x=y-12=z-43 write it in standard form…
Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…
A: Given expression, y=x3-12x
Q: Find y'(x). y'(x) = y = √-1 + 2x At what point on the given curve is the tangent line perpendicular…
A: Given query is to find the derivative and the point where slope of tangent is perpendicular to the…
Q: Tutorial Exercise Determine the set of points at which the function is continuous. G(x, y) = In(x² +…
A:
Q: Question 29 If O O (OM dy O O j A. 5 - ly -5 ƏN ON) 1/2 = -5/201 əx y then what is the integrating…
A:
Q: The exercise involves observing a pattern in the expanded form of the binomial expression (a + b)n.…
A: Given data:- (a + b)1 = a + b(a + b)2 = a2 + 2ab + b2(a + b)3 = a3 + 3a2b + 3ab2 + b3(a + b)4 = a4 +…
Q: So the system of equations by using the inverse of the coefficient matrix if it exists and by the…
A:
Q: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x OB. cot2x O C. Lnsin2x OD. CsC2x…
A: To find the integrating factor IF of the following equation,y'-2y cot2x=1-2x cot2x-2 csc2x
Q: 13. Suppose that lim f(x) = 13 and lim g(x) = -7. Find the following limits. X-4 X-4 a. lim…
A:
Q: Is the point (3, 12) on the graph of the function f (x) = (x - 12)(x + 2)?
A: Given data:- The given function is, fx=x-12x+2 And the given point is, 3, 12
Q: 1. Given that lim f(x) = -1 and lim g(x) = 8, find the following limits. H-3 →3 f(x)5 +3 (b) lim -3…
A:
Q: 164. A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of…
A: NOTE: Refresh your page if you can't see any equations. . the population(in thousand) of the town…
Q: Which of the following is a non-homogeneous function? tan³y/x | xLnx − xLny x³ - xy + y2 (y² +…
A:
Q: dy Solve for the value of C in the equation: + ycotx dx O A.-5 OB. 5 OC.-4 O D. 4 O E. None of the…
A:
Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x − y)dy = 0? |…
A:
Q: 1. Find the differential equation representing all circles with the center on the line y = x and…
A:
Q: e Monday by Question Use the formula 8x7 4+x4 Include +C in your answer. to evaluate Provide your…
A:
Q: The figure shows the positions of an object as a function of time t. S 10 J540 501 + 20 30 40 50 t…
A:
Q: Related Rates 8. A thin circular metal disk changes size (but not shape) when heated. The disk is…
A: Let radius of disk = r mm Area of circular disk =πr2 mm2
Step by step
Solved in 2 steps
