642 1. Consider the graph of y = f(x) below. State the value of each of the followin u do not need to show any work. -4 -22 -4 2 4

Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

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Q: Evaluate (x - 4y + z) ds. S: z = 5y, 0 s x s 4, 0 sysx

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Q: (a) f(x) dæ %3D

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Q: If u(t) = (sin(2t), cos(5t), t) and v(t) = (t, cos(5t), sin(2t)), use Formula 4 of this theorem to…

A: We will find the dot product.

Q: 3 sin z If f(2) = then 2 + cos z f'(2) =| f'(5) -

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Q: Sketch the region enclosed by the graphs of the given functions. Determine whether it is more…

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Q: Find the equation of the tangent line to the curve y = 6 tan z at the point (, 6). The equation of…

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Q: Assume that x, y, and c are positive numbers. Use the properties of logarithms to write the…

A: Given :logc5xy

Q: Consider the following function and closed interval. f(x) = x³ -, [-5, 2] Find f'(x). f'(x) = Find…

A: see below the answer

Q: FIND THE GIVEN DIFFERENTI Homogeneous Eguation ( 3x + 4y) dx - dy -0

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Q: Given the vector field F = (z,x, y), calculate the flux of the curl of F through the portion of the…

A: Given

Q: 1. [0, 3). Find the area between the graph of y = x and the x-axis over the interval

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Q: The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by P = 346.8e…

A: The population Pin thousands of Reno, Nevada from 2000 through 2007 can be modeled by P=346.8 ekt,…

Q: 7.4 Partial Fractions 11.10 Taylor and Maclaurin Series Find the Taylor series for f(x) centered at…

A: We are given f(x) = 8x - 3x3 We have to find taylor's series expansion of f(x) centered at a=-2 and…

Q: b) Calculate the integral: - .- (x+ 2y) dædy where the region R is defined as: R= {(x,y) E R² : 0 <…

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Q: Evaluate the integral below. 2 x(r – 1)15 dr

A: ∫un du = un+1n+1+C

Q: Consider the function f(x) 2x2 + 4x – 7. f(x) has a critical point at a = A. Find the value of A: A…

A: We have to find critical point

Q: (a) L is the line with equations x =1+2t, y=2+3t, z=3+t. P is the point (2, 3, 2). Find the…

A: Given that L is the line with equation x=1+2t,y=2+3t,z=3+t. P is the point (2,3,2).

Q: A 25-year-old woman burns 600t cal/hr while walking on her treadmill. How many calories are burned…

A: Given  Amount of calories burn per hour = 600t

Q: dy 20. Use implicit differentiation to find the derivative for the curve defined implicitly dx by…

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Q: a. -25 -5 b. -40 3. с. 40 0 d. 25 13. A bug is moving with velocity v(t)=t - 6t +8 for t2 0. Find…

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Q: 4x* -1 +5x°+2x² 3 X+1

A: topic - long division of polynomials

Q: Suppose that f(x) = 2x-4 + 3x-2. Evaluate each of the following:

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Q: 4. Find the divergence and curl of the following vector function: F(x,y, z) = ( arctan(ry),…

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Q: Consider a closed rectangular box with a square base with side z and height y. a. Find an equation…

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Q: Given the following cost and revenue functions: C(x) = 10x+ 3 %3D R(x) = 40x– 0.6x? A. Find the…

A: Solve the following

Q: Ssinx j 4. sin x cos x dx 3.

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Q: 6. Use Lagrange multipliers to find the minimum and maximum values of f(x, y, z) = 2x + 2y + z under…

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Q: The graph of f(r) is given below and F(z) = -2 Find F(4)- a) O 12 b) 06 3 c) O d) O e) 09

A: The given data is: The graph of fx is given below and Fx=∫0xftdt    To find the value of F4

Q: 14. A rocket is being launched straight up from ground level, and the launch is being monitored by a…

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Q: Calculate ri(t) - r2(t)] and r:(t) x r2(t)] first by differentiating dt the product directly and…

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Q: ve the given ODE using Laplace Transform a. y" – 4y' + 3y = 6t – 8 ; y(0) = 0, y'(0) = 0 -

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Q: h(x) = In|x| %D Find the derivative of the function

A: Differentiate by using quotient rule

Q: Dose the h partial sum of a series a, is as follows. n = 1 -ח n+ 5 Find and n = 1 Step 1 We are…

A: Solve the following

Q: Find the interval on which the curve 1 y = dt 4 +t+ 4t2 is concave upward. Note: When using interval…

A: 4t2+t+4 =2t+142+6316y=∫1x12t+142+6316dtFormula:∫ 1a2+x2 dx =1a tan-1xay =1216316 tan-12t+1463161x…

Q: dt F(x) = | 6+ 8t Find the interval on which the curve is concave downward.

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Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: 2x + 1 (a) lim 9x2+ x

A: We have to solve the limit

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +7 1 lim t+ 6t2 + 7' 5t (?, ?)

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Q: O Find dyldx if y = x In(x).

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

Q: Test the series below for convergence using the Ratio Test. 4 0.5" T=D1 The limit of the ratio test…

A: Given query is to applied ratio test.

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Given f(z, y) = – 3z' + ry° + 5y², find fr(x, y) = | fy(z, y) = |

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Q: ensider the function f(x) below. At what value(s) of r are the inflection points? Enter answer using…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 7. Let f(x,y) = x²y+ry. Find an equation of the tangent plane to the graph of f at the point…

A: The detailed solution is given below Thank you

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places.…

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Q: Select the correct graph for the given function y = In(x+2) 4 3 2 1 + +++++ -8 -6 H 8 4 6 -4 -2 2 >…

A: Solve the following

Q: If f(x) = f (x) = = COS 7 tan z, then f'(5) =

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Q: 1.) Use the Limit Comparison Test to determine if the series converges or diverges. 1 sin().

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: The function f(x) = 2x – 42x + 270x – 2 has two critical nu The smaller one is x = and the larger…

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