Suppose z is a function of r and y, and x² + y² + z² = xe² + ye² + ze³. Solve əz əz for and əx ду

Q: If a circle has a radius (r) with an indicated arc length of 34ℼ, and two central angles of aℼ/15…

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Q: Derivative of Y=tanxcosx

A: Given problem:- Derivative of Y=tanxcosx

Q: 3. ) Consider the function f(x, y) = 2r+y²-2²-2y. The critical points of f are (-1), (0, 1) and…

A: In this question, we need to classify each critical points using second derivative test.

Q: The result of dy/dx for the following function is COS X y = 1+sin x

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y sin x…

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Q: Suppose s(t) = 8t - 2t² on the interval [0, 4]. What is the distance traveled on [0, 4]? 00 04 08 O…

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Q: The result of dy/dx for the following function is COS X y = 1+sin x

A: In this question we have to find the differentiation.

Q: Find the area between the curve y = x(x 3) and the ordinates x = 0 and x = 5. LA B

A: Topic = Area

Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: 10- Prove that a.b= la+bl²-la-bl²/4

A: solution:-a.b=a+b2-a-b24R.H.S=a+b2-a-b24=a2+b2+2a.b-a2+b2-2a.b4=a2+b2+2a.b-a2-b2+2a.b4=4a.b4=a.b=L.H…

Q: dx 3 Losx

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Q: C-The result of the following limit is sin 1² lim t 1-0 Oo O infinity 02 O anther answer

A: We can solve this as follows:

Q: a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x.…

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Q: 1 Determine if the integral [Inxdx converges or diverges. 0

A: Given problem:- Determine if the integral ∫01ln(x)dxconverges or diverges

Q: EX: Estimate the value of 1.1.5 Sol 3 (4.5 = (1+0.5.), X=015 by..binamia.l.sevies... m. = 0.15…

A: We have to expand it by using binomial expansion.

Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: of the 3. Find the de AND FINAL ANSWER 1. f(x) = (4x² +8x + 2)² 2. f(x)=(2x +6) f(x)=(3x²+2x+1)³ 3.…

A: Topic = Derivative

Q: Find the limit. (If an answer does not exist, enter DNE.) lim x → 3 x2 − 8x + 12 x − 3

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Q: 5. Use the Squeeze Theorem to evaluate lim sinz 1-00

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

Q: f is a potential function for the vector field F = (2x - 2yz, 3y2 - xz, -2xy) so what is the value…

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Q: Find the first three nonzero terms of the Maclaurin expansion of the given function. f(x) = 10 1-x…

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Q: Q3- Use Green theorem to evaluate [7y-ex]dx+ [15x-sin(y³ + 8y)] dy Where (c) is a positively…

A: This is a application of integral problem

Q: 1. Find the distance traveled (to three decimal places) in the first four seconds, for a particle…

A: This is a problem related to integration of the function. B y integrating velocity we will get…

Q: What is the absolute max and min values of f(x)= x²ex on x€[-5,1]

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Q: y' = X y+x²y , y(0) = -2

A: Given differential equation: y'=xy+x2y, y0=-2To Find: solution of the differential equation

Q: 1 4. f(x)=- (5x²+4) 5.f(x)=√√3x² +6x+2

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Q: 7- Determine the volume of the parallelepiped formed by the vectors u = [ 2,1,3], v = [1,-4,2 ] and…

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Q: Answer: y = -√2 sin x + 3 # Find the particular solution, y = f(x), to the differential equation dx…

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Q: What is the displacement of an object on the interval 0 ≤ t ≤ 9 if its velocity is V (t) = 6 -√√3t?…

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Q: Evaluate √16-x² dx

A: ∫16-x2dx

Q: 2.1-dx 3.J12x³dx

A: Here we use formula of integration.

Q: A- The result of the following limit is 2x² + 3x lim xx0x³ + x + 1

A: The objective of the question is evaluate the limit .

Q: The derivative of the function f is given by ƒ'(x): = e¯* cos(x²), for all real numbers x. What is…

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Q: Find the equation for any horizontal asymptotes for the function below. 5x + 4x + 2 f(x) = 2x + 5x-3…

A: Solution:

Q: Solve the following ff12 [2yx² + 2 sin(2x) + cos(πy)] dA, if R = [−2,1] × [0,1]

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Q: mal ty "THE Y PRIME" Determine the derivative of the given functions. 1. Consider the quadratic…

A: Since you have posted multiple questions i can do first question but you mention P4 so i do question…

Q: Q1 Find the distance between the points A (2, -5, 7) and B (-3, -1, 6).

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Q: The radius of a circular oil spill after tt minutes is given by r(t)=√9tr(t)=9t. Find the…

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Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

Q: A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of…

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Q: lim 1-0 ان sin 1² t

A: Given limt→ 0sint2t

Q: (vii) 5.001 = mpQ (viii) 5.0001 MpQ = (b) Using the results of part (a), guess the value of the…

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Q: 5. Use the Squeeze Theorem to evaluate lim sinz 27 1-400

A: Note: As per bartleby guidelines, I can answer only one question. So, kindly repost the other…

Q: 5. Use the Squeeze Theorem to evaluate lim sinz 42 1-0 6. Find lim f(x) if, for all z > 1, 140 10c²…

A: First i have written the squeeze theorem and find the limiting value of problem (5) and (6) and then…

Q: integral (Integration by parte ) [xln x

A: We will solve the problem

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: Let's find value of y(1.2)  = ?.

Q: Evaluate the integral. dx x216x + 65 NOTE: Enter the exact answer. + C

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Q: Ex: Estimate the value of №.1.5 by..binamia.. sevies. Sol 4.5 = (1+015.) ². X=0.³.5 m = 0.15... 3 •:…

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Q: Let the demand function for a product be given by the function D(q)=−1.15q+200D(q)=-1.15q+200, where…

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Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: The objective of the question is determine maximum distance.