Use the given information to find the exact function value. Simplify your answer as much as possible Español 37 see 0 = e in Quadrant I 35

Q: Suppose z = x² sin y, x = s² + 3t², y = 6st. Əz Əz A. Use the chain rule to find oz and 0 as…

A: Suppose .(A) By using chain rule to find  as functions of .(B) To find the numerical values of  when…

Q: Differentiate the function. 이 y=(3x-2) (4-x)4 dy 口 dx

A: To differentiate the following function.

Q: The equation of the plane that passes through the point A(1, 0, 2) and perpendicular to the vector…

A:

Q: Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

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Q: Suppose the Maclaurin series f(x) is f(x) = Σ Find the Maclaurin series for the following. f'(x) = Σ…

A:

Q: × Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: ⟨−22​​,22​​⟩ 42​ Explanation:Given the function,f(x,y)=xy2​,(2,4) Let us solve for the gradient of…

Q: Find X1 and X2- -2 - 4 X1 -2 3 x2 H + 19 -9 3 17 X1 X₂ = 38

A:

Q: Use Lagrange multipliers to find any extrema of the function subject to the constraint x² + y² ≤ 1.…

A: The given function f(x,y) = e-xy/4   Extrema of the function subject to constraint x2 + y2 = 1…

Q: Find the angle of intersection, in radians on the domain 0 <t≤, to two decimal places.

A:

Q: For the function f(x) = x^4 -6x^3+1, find the points of inflection.

A:

Q: Please help with Calculus 1 Question. Thank you.

A: dxdy​=x​2​+x36​ Or dxdy​=x2x​​+x36​ (Note: These two are just the same or…

Q: No hand written responses. Please provide a step-by-step breakdown for each step in laymens terms…

A: f'(x) of the function:f′(x)=−40x+17 The equation of the line tangent of f(x) at x = 1…

Q: b) As a spherical balloon is being inflated its radius (in centimeters) after t minutes is given by…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the limit or indicate that it does not exist. 7 lim t→L sin 6t i+ (cos 131)+ (ta 7 tan 4 到 k…

A: To find:-

Q: 3x3 +5y3 lim (x,y)-(0,0) x² + y²

A: To find the following limit.

Q: Consider the logarithmic function: g(x) = 3 log2 (1-x) - 6 d) Sketch the function using the method…

A: Check explanation Explanation:Problem:Consider the logarithmic function:g(x) = 3log₂(1 - x) - 6d)…

Q: Calculate the mean, median, and mode from the following data set: 1,2,3,4,5

A: The objective of this question is to calculate the mean, median, and mode of the given data set.…

Q: Evaluate the integral. (Use C for the constant of integration.) COS dx

A: To evaluate the following integral.

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: Note:-Since you asked multilple subparts questions, according to our policy we can solve only first…

Q: Evaluate the integral. (Use C for the constant of integration.) cos dx COS -x cos-sin()+C x

A: The given integral is .We can solve this integral by integrating by parts formula method.Integration…

Q: Find the slope of the tangent line to the curve below at the point (7,7 4x+3y+ √3xy =…

A:

Q: can you solve this question for me please

A: The objective of this question is to determine whether each of the given integrals is proper,…

Q: The graph of g′ is given below:  Answer the following questions about the graph of g based on the…

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Q: Please don't provide handwritten solution ...

A: Ans: V=π∑i=07​(4e−(0.125/2+i×0.125)2)2×0.125,  calculate the sum to get the approximate…

Q: 4) Graph one complete period of the function y = 3 tan (2x+)+ 1. Identify the period, phase shift…

A:

Q: Compute the mean, median, and mode of the data sample. (If every number of the set is a solution,…

A: The objective of this question is to calculate the mean, median, and mode of the given data set.…

Q: Find the maximum value of w=xyz on the line of intersection of the two planes x+y+z=40 and x+y-z=0.

A:

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec sec³ (9x) dx

A: Given Indefinite integral as follows

Q: Consider Ohm's law, V = IR, where V is the voltage, I is the current, and R is the resistance. Solve…

A: answer is  -0.000155Explanation is given below.Explanation:

Q: Given the updating function as shown below, find the first three values of the sequence when the…

A: 1) x_1 = 10,x_2 = -38,x_3 = 154 2) Pe= -4, 2Explanation:To find the first three values of the…

Q: Find the slope of the tangent line to the curve 2x² + xy + 4y³ = 272 at the point (2, 4).

A: Given an implicit function,2x2+xy+4y3=272To find: The slope of the tangent line to the curve at the…

Q: Exercise: Solve the equation d³y dy dx3 +3d²y +3d+ y = 0 dx2 dx

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Q: Evaluate the integral. π/2 0 [5 cos 17t i-4 sin 7t j + sin² 5t k] dt л/2 [5 cos 17t i-4 sin 7t j +…

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Q: x²+5 g(x): if = x+8 *x*-8 ; g(5) x-1 if x=-8

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Q: A model for the surface area of the human body is given by the function S = f(w, h) = w0.425 0.725,…

A: The required answer is 0.4997Please find the attached file for details...Thank you...Explanation:

Q: determine the laplace transform of; 3e^2t cosh 4t

A: The objective of this question is to find the Laplace transform of the function 3e^(2t) cosh(4t).…

Q: dy Find by implicit differentiation da 5+3x=sin(xy)

A: 5+3x=sin⁡(xy6)ddx(5+3x)=ddxsin⁡(xy6)

Q: lim n!en 1/2

A: √(2π) Or. √2 •. √πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the following integrals using partial fraction decomposition, when applicable.

A: 16.51​ln∣x−4∣−51​ln∣x+1∣+Cor,51​ln∣∣∣​x+1x−4​∣∣∣​+C17.2ln∣x+2∣−23​ln∣2x+1∣+CExplanation:Step 1:Step…

Q: Use a half-an le formula to find the exact value of tan 105°. tan 105° = 0 G

A: .

Q: 3 Parameterize y(x) = +1 using x = t sin x Ans=

A: The answer is: y(t) = (-3/sin(-3/sinx) + 1)) + 1Explanation:To answer this question, you just have…

Q: I need help with the graphing part

A: a) (f∘g)(x) is the graph obtained after moving/shifting f(x) Horizontally 4 units to the left. b)…

Q: Determine ALL restricted values for: Log (In (log2x)) 2 and explain why

A: The given function

Q: 4. [10 pts] The function Am is defined by Am(t) = A+ Blog(x + 10). The graph of the function goes…

A: A = -1.64386A=log20−15log20−7​ B = 6.64386B=log20−12​  Explanation:Step 1: Step 2: Step 3: Step 4:

Q: The function f(x)= : 41 is concave down on which interval? +1

A: given function

Q: 4) Find the derivative from FIRST PRINCIPLES of √(x) = 2√x (You will need to rationalize the…

A:

Q: Express log,A, where A 14 4 3 , , in terms of the logarithms of prime numbers. log₁A = √20 7 148

A: Let me know if you have any doubts. Please rate my answer.Explanation:Step 1: Step 2: Step 3: Step…

Q: The distance s, in m, above the ground for a projectile fired vertically upward with a velocity of…

A:

Q: Solve the following initial value problem for r as a function of t. dr Differential equation: =(2…

A: Given:To find:r(t)

Q: Let A be an augmented matrix for a system of three linear equations in three unknowns. Suppose that…

A: • The system has infinitely many solutions.• The solution set…