5) Ir b) a) O Consider the functions z = -e lnx, y = ln(u sin v), x = usin v. Draw a dependency diagram and write a chain rule formula for- дz ди' 22 ƏX Ju Z₂ LO изи dz Ju لاح $ дz Express as functions of u and v. Use the Chain Rule. ди Sin (-exx) (usion) + (usirv) (ult (col Ledinx) (in usiot (Inusiqv) (u) su لال 22 JX dzv. dd az 2x du би зу ди t =

Q: is ty'+2y=t^2-t+1 a linear ODE in standard form?

A:

Q: Find the exact value of cos60°.

A:

Q: 4) belanjmited 10/1036 a) b) upy of awob Find ALL of the first and second partial derivatives of the…

A:

Q: 1. f(x) = 4 sin x cos x 2. g(x) = 3 sinx - x cos x 3. h(y) = cos y cot y

A:

Q: Given a rectangular box. Lengths are in cm 2x X X

A:

Q: The graph of y = f(x) is given below. Answer each of the questions below the graph. 10+ 8 7 -9-8-7…

A:

Q: The half-life of a drug in the bloodstream is 4 hours. What fraction of the original drug dose…

A: given half life of a drug in bloodstream is 4 hours

Q: In the attached calculation, why does it say it is the quotient of the two polynomials? Does that…

A: Please see the below answer.

Q: 1. Consider the following, recursively defined function C(1) = 1 C (2) = 1 - C(n) = C(C(n − 1) + C(n…

A: We need to prove that C(n)=1 for all n.

Q: Find c such that the function x ≤ c [x² - 8 10x 33 x>c f(x) = is continuous everywhere. C = с

A:

Q: State the first 4 terms of each sequence, then explain why each series is convergent, divergent, or…

A:

Q: If f(x) = f* t³ dt then f'(x) = f'(-6)=

A: Given query is to find indicated derivative.

Q: Find the limit

A:

Q: Consider the following. -h 0₁ bx (a) The figure shows a telephone wire hanging between two poles at…

A:

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q f'(x) = r…

A:

Q: Solve the following DE. ( Variable Separable )  1. (xy + x) dx = (x2y2 + x2 + y2 + 1) dy

A:

Q: (a) If F(x) = x² - 5x, find F'(5) and use it to find an equation of the tangent line to the curve y…

A:

Q: Suppose z = f(x, y), where f is differentiable, x = g(t), and y = h(t). If g(6) = -7, g'(6) = 6,…

A:

Q: The directional derivative of z = f(x, y) at (1,5) in the direction toward the point (7, 4) is 17…

A:

Q: Given a rectangular box. Lengths are in cm 2x X X

A:

Q: The instantaneous slope of f(x) (when f(x) is a polynomial) Hint: 120 GO f(x)=x²-2x - 5 compute the…

A:

Q: de (Inx) dx dx sinx

A:

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: Given  F(x)=-2+x3  Now ,For find the critical point we find the derivative of the function and equal…

Q: tep 2 is cut off. Please resend.

A: note: previous answer was also correct but i think you could not horizontal scroll so I will rewrite…

Q: The city of Raleigh has 9900 registered voters. There are two candidates for city council in an…

A:

Q: Solve the equation cot² 0 - 3 csc 0 = 3 csc = 2 for all solutions , showing all steps in your…

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

Q: An automobile starts from rest and travels down a stra the starting position after ₺ seconds is…

A:

Q: Let f(x) = f'(x) = and - f"(x) = | 7x² 4-52 . Then 7x (5x-8) (-5r+4)2

A:

Q: Find the directional derivative of f(x,y)=x2y3 + 2x4y at the point (-1, 3) in the direction Θ=pi/4.

A:

Q: Let s= f(x, y, z) and x = the following pieces of data do you NOT need? Ox(2, 5, 1) = 6 Of(6,9,7): =…

A:

Q: 3. Estimate the area of the finite region between f(x) = -x and g(x) = by summing the areas of n…

A:

Q: Evaluate the integral:2√2+36 dx (A) Which trig substitution is correct for this integral? Ox = 36…

A:

Q: Consider the following LP problem: maximize z = 5X1 + 2X2 + X3 subjected to X1 + 2X2 + 3X3 <= 30, X1…

A: Given linear programming problem as follows ,  Max Z =   5 x1 + 2 x2 +   x3 subject to…

Q: Evaluate f(x+3) when f(x)=x²-3x+4 (Be sure to simplify your answer)

A: Topic = Function

Q: Sketch a graph of f(x)=x+1 1 -5 -4 -3 -2 -1 5 4 3 2 1 -1 1 if -1 1 2 3 4 5 -3 -4 -5 Clear All Draw:…

A:

Q: (a) Find the direction for which the directional derivative of the function f(x, y, z) = √ at P =…

A:

Q: Evaluate f 5x√3+25x² Show ALL work clearly. If using the table of integrals for this problem, be…

A: Concept: Integrating the components into the whole is the process of integration. In the integral…

Q: .A rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given…

A:

Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

A: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

Q: Consider the function f(x) = a. Find f1(x). b. Graph f and f x +9 2-7x together. df 1 c. Evaluate at…

A:

Q: Should i put 62 on the other side making it -62?

A: The equation of sphere is x2+y2+z2+16x-2y+2z+62=0. We have to rewrite this equation.

Q: Find all the second partial derivatives. F(x,y) = sin2(mx + ny)

A:

Q: Find all values of a such that the vectors = and are perpendicular

A:

Q: Divide as indicated. - 25 4x-4 O A. B. ÷ 2 x +10x+25 2 x +4x-5 ²-25 4x-4 + 10x + 25 x2+4x-5 x²-25 x²…

A: To divide as indicated. x2-254x-4÷x2+10x+25x2+4x-5

Q: 2. Find values for b and c so that f(x) = 6x² + bx+c has its vertex at (7,-9).

A: As per rule I need to solve only first question.  So I solve only question number 2.

Q: √√3 sin-¹ (-√3)). 2 Find the exact value of the expression tan sin √√3 -1 (-1/3³)) -0 2 (Type an…

A:

Q: Find f'(x) and f''(x). 2 x - 5x x+1 f(x)=

A: Given: f(x)=x2-5xx+1

Q: Leave all answers in exact form (not rounded) Evaluate the improper integral or state that it is…

A: Given integral:- ∫1∞1xx2+2dx

Q: Let f(x) = mx - 11 ²+10x-8 if x < -3 if x ≥-3 If f(x) is a function which is continuous everywhere,…

A:

Q: Compute the Taylor polynomial T5(x) and use the Error Bound to find the maximum possible size of the…

A: