Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2 1-(5x5+2x)² 25x¹+2 √1-(5x5+2x)² 25x²+2 /1+(5x5+2x)² E. NO correct choices + + + 2x 1+x² 2x 1+x4 2x 1+x4

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A:

Q: Find the directional derivative of the function at point P in the direction of v: f(x,y)=x^3 y,…

A:

Q: The area of the sector of a circle with radius 16 feet formed by a central angle of 95 is feet.…

A:

Q: Find the volume of revolution from the region bounded by y=x, x+y=6 and y=1, being revolved around…

A:

Q: Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the…

A: The value of the x for which the graph crosses the x-axis will be the solution of the equation.

Q: Solve the giv '= .3 X x³ - 2y

A:

Q: The height y (in feet) of a ball thrown by a child is 1 y = - -x² + 4x + 5 16 where x is the…

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 4x + (sin(x))² dy

A: The solution is given below

Q: Evaluate using integration by parts o a) (In 3x dx

A: As per the rules of the company we can only the first question and rest others can be reposted.

Q: If you invest $1200 with interest compounded weekly (52 times per year) at 3.7% for 6 years, how…

A:

Q: Using Integration by Parts, the integral [(x³ + (x8+2x²) In x dx

A: SOLUTION-

Q: Evaluate the iterated integral below. 1 S. * S'y cos 0 0 y cos (x) dy dx

A: Given, ∫0π4∫01y cos(x)dy dx

Q: Determine whether the given function is linear. If the function is linear, express the function in…

A: Given question:- Determine whether the given function is linear. If the function is linear, express…

Q: By using the substitution t² determine the convergence of = S ∞ dx (x+1)√√x*

A:

Q: Verify the identity algebraically. Use a graphing utility to check your result graphically.…

A: Here, to simplify the expression: 7cos3(t)csc(t)

Q: Using an appropriate substitution, the integral cos cos (ln(2x)) X is equal to dx - — cos(ln(2x)) +…

A:

Q: ) ㅠ S tan5 (2x) sec² (2x) dx 2

A:

Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 2n(ln(n))² 4n X Find the interval, I,…

A: We have to find the radious of convergence and interval of convergence of the given series.

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

A:

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) -5…

A: Understanding of logarithmic function is required to understand this problem.

Q: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the…

A: We can solve as follows

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

A: Find complementary solution  Then find wronskian of the functions which are solution of homogeneous…

Q: Use partial fractions to evaluate x² + 4x + 1 Lix (x − 1)(x + 1)(x + 3) dx

A:

Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

A: Here, x changes from 35 to 38. So, change in x = 38 - 35                              =  3.

Q: If f(x) = etan-¹(x²-3) then f'(x) at x = 2 is equal to

A: SOLUTION-

Q: r3 0 d.x 16+ x²

A:

Q: 11 7 Find Y y N 2x² + y² = 4 2

A:

Q: The number of bacteria in a refrigerated food product is given by N(T) = 22T² – 617 + 20, 3<T<33,…

A: The solution is given below

Q: critical points

A:

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A:

Q: Find the divergence of the field. 2xyzk F = 5ye 2xyzi + 5z e 2xyzj+5x e² div F =

A: Solve the following

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: Solution:- Given H(jw) -(4+jw) 6+5jw-w² It Can Yewrite as:- (jw+4) (- : j²= + 1) 6+ (jw)² + 5jw =…

A: Concept: Partial fractions: The fractions needed to break down a rational expression are called…

Q: Let f(x): 10-x-² 2x 9 - if x ≤ 4 if x > 4

A:

Q: Use the information to evaluate and compare Ay and dy. (Round your answers to four decimal places.)…

A:

Q: The general solution of xdy-ydx = x²e³dx is (A) y+x²+x=0 B x+ye²-cx=0 C y=x*-c=0 (D) x-ye*+cx=0

A: We need to find out the general solution.

Q: 10. S 1-cos2y 1+cos2y dy

A:

Q: if - 6 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) =…

A: The Solution is given below

Q: Graph the parabolar = 3/(2 + 2 sin Select the correct answer. O I

A:

Q: Evaluate the iterated integral below. π 1 4 S*S'y cos (x) dy dx Só 0

A:

Q: A solution to the DE ydx-xdy=0 is A B C D xy=C x = Cy none of these x=y=C

A:

Q: Verify the identity. 9 cos(sin ¹ x) = √81 - 81x² = 8 = x = . Thus, Let 8 = sin-¹ x = sin 8 = x 9…

A:

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 4 − x2,…

A:

Q: 3 Solve the following GDES by variation of parameters method: 2X 니 ● ÿ - 4y + 4y = 12 ²X / X4 +10 2X…

A:

Q: per distance between the bottom of the ladder and the wall? Oft/min O-4ft/min Oft/min 4ft/min…

A:

Q: Suppose that f(x) = /'(-2)- - f'(1) = 6x + 16 X Evaluate each of the following:

A: we have to find derivative at a point

Q: 9 In order to evaluate the following integral 1 -√2/cos-¹(√x) dx 1 =- we first use the substitution…

A: Given: I=-∫12xcos-1(x)dx

Q: 1 4r dr √1-4

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…