Hi, I need help with solving these derivatives. Thank you for your help! g(z) = 2z" – ež In(z) - f(t) = In(e4t+3) + cos(3') 1 g(x) = 2* · (x² + 1)

Q: Calculate the amount of concrete required to cover the curved part of a pipe with a diameter of 50 c...

A:

Q: A hemisphere with a radius of 4 m is used to protect some plants. The thickness of the material is 0...

A:

Q: For which value of k does the matrix A=[2   k]     [−4 5]   have one real eigenvalue of multiplicit...

A:

Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: topic- indefinite integral

Q: Find the equation of the tangent line to the graph of y(z): Equation of the tangent line is y (1-4(3...

A:

Q: 1.)C

A: Please refer to the image below

Q: ow directly that the given functions are linearly dependent on the real line. That is, find a nontri...

A: Topic:- algebra

Q: A restaurant manager has the option of a 30-year loan of $411,000 at an annual interest rate of 3.95...

A: (a) principal =$411,000 time =30 years rate=3.95% interest=PRT100              =411,000×30×3.95100  ...

Q: The curve -4x – 3y³ – 7x + 5y = 2 is shown in the graph below in blue. Use the graph below to draw l...

A:

Q: oo o o O dy Find using implicit differentiation, for the equation z +y = 11 is , da x4 x4 x4

A:

Q: Can Mean – Value theorem applied for the following function - on the indicated closed int erval ? If...

A: The objective is to check that can we apply mean value theorem for the function on the indicated clo...

Q: Find the critical number and relative extreme if they exist.

A:

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for ...

A:

Q: True/False: y = 4+ ln x solves the differential equation xy = 1. True False

A: Given:           xy' = 1 

Q: (a) The maximum carrying capacity of a park is 100 animals. Currently, there are 10 animals in the p...

A:

Q: A statement S, about the positive integers is given below. Write statements S,, S2, and S3, and veri...

A:

Q: 1. Complete the table for the sine, cosine and tangent for the special angles in quadrant I. Keep yo...

A:

Q: Book Design A book designer has decided that the pages of a book should have 1 in. margins at the to...

A:

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A: Given graph  

Q: (b) Find the direction e of the vector u = .(angle between the positive x-axis and the vector)

A: Topic = vector

Q: General Solution of a First Order Separable Differential Equation In this problem, we want to find t...

A:

Q: 1 - cos 2x if y = prove 1 + cos x y' = 2tanx.sec²x

A:

Q: then the distance from a point P to the line L is equal to the length the component of the vector AP...

A:

Q: (b) Which of the following could be graphs of the function? Choose all that apply. O population year...

A:

Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

A:

Q: Evaluate the integral. 3. (In(x))² x3 dx 1

A: I am attaching image so that you understand each and every step.

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A:

Q: 2. Solve the following differential equations. (a) y' = x2 – xy+ 1. (Hint: Consider the subsitution ...

A: Both the parts have been solved in detail. 

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(7, 2...

A:

Q: Set up, but do not evaluate, an integral for the length of the curve. y = x – 9 In(x), 1sxs 4 dx

A:

Q: Suppose that 8 J of work is needed to stretch a spring from its natural length of 40 cm to a length ...

A:

Q: 8

A:

Q: Find the area enclosed by the curve  x = t2 − 2t, y = square Root(t) and the y-axis.

A:

Q: You forgot to answer: Use the trigonometric identity for cos0/sin0. 1/sin0 - sin0 = ____?

A: Use the trigonometric identity for cos0/sin0. 1/sin0 - sin0 = ____?

Q: A spherical snowball is melting so that its diameter is decreasing at rate of 0.2 cm/min. At what is...

A:

Q: Determine the total work, by Green's theorem, done by the force field F(x, y) =, on a particle follo...

A:

Q: Approximating Function Values In Exercises 43-46, use differentials to approximate the value of the ...

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = square root...

A: This is a problem related to find area of the curve using integration. Please use below method to so...

Q: [3] Write the expression below as an algebraic expression in x for x > 0. cos(2 tan x) = -1

A: This question is based on trigonometric ratios.

Q: dy by using Leibniz's notation for the chain rule: dx iven y = f(u) and u = g(x), find y dy du %3D d...

A: Given query is to find the derivative of the expression.

Q: Set up an integral to find the length of the curve. Evaluate the integral by hand, and find the leng...

A:

Q: Suppose that an is a convergent series, with positive terms (i.e., an >0 for all n). n=1 (a) Does th...

A:

Q: Given the following information, determine the value of x:  u = [2x, 1], v = [x, 2x] and ∣u+v∣ = 6

A:

Q: Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) 0...

A: To find out the asymptotes.

Q: Given f(x,y) = 3x sin(3xy). Find fxy(3,2). Give you answer correct to %3D two decimal places. Answer...

A:

Q: d²y Find dx2 if –10x – 6y = -6.

A:

Q: Given f(x,y) = 3x sin(3xy). Find fx(3,2). Give you answer correct to two %3D decimal places. Answer:

A: Topic:- partial derivatives

Q: Complete the following unit circle: 1) Write the coordinates of each point on the unit circle 2) Wri...

A:

Q: 3. J 2Vxdx

A: