2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

Q: The graph shows a city's daily rate of use of electricity (in millions of kilowatts). Estimate the…

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Q: This question is designed to be answered without a calculator. (10¹ x) = (In x)10¹n x-1 O (In…

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Q: -5e-cos2t O Option 4 5e-t sin 2t O Option 2 5e¹ cos2t O Option 3 5e sin 2t O Option 1

A: Topic:- application of derivatives and integration

Q: c) (² 2x² − 6x 6x + 3 x² + 1 dx

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Q: dw ow For the functions w = xy + yz + xz, x= u + 3v, y = u- 3v, and z = uv, express and using the…

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Q: 8. Evaluate z (9x² - (0x+6) dx

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C And…

Q: Given r = 1 - 3 cos 0 find the following. Find the area of the inner loop of the given polar curve…

A: Given that a curve       r  =  1 -3cosθ                                   first we'll need to…

Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

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Q: Jo dx 0 1-x² 2 e) fx√x² + 1dx (Hint: use a substitution)

A: Use substitution to solve

Q: Jmin = ymax =

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Q: Numbers 13,14,15 please

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Q: The population of a city is 323,000. The population declines by 3.8% every year, what will the…

A: topic- exponential function

Q: 2. Find the eigenvalues and eigenvectors of A = 2 1 0 1 2 1 1 2,

A: Given

Q: Find the gradient of the function f(x,y)=5y-x at the point (8,9). Then sketch the gradient and the…

A: See this solution in below

Q: Evaluate lim f(x) where X-3 (3x-2 if x3 09 O does not exist O 11 07

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Q: Evaluate the following integrals: 0 • (Cartesian to Polar) Civen the cartesian coordinate, find FOUR…

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Q: Evaluate lim x-0 1-√√1+x X

A: Given problem:-

Q: This question is designed to be answered without a calculator. Let f be a function such that lim…

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Q: 7x Find the linearization L(x,y) of the function f(x,y) = e cos (9y) at the points (0,0) and 0, ¹2…

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Q: 1. Consider the differential equation y" - ry - y = 0 a) Determine two linearly independent power…

A: answer is in next step

Q: In this question, you will solve an integral problem using the method of substitution. (a) Make the…

A: A detailed solution is given below

Q: 1 s¯¹(x) 2 cos √1-x² -dx

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Q: Use the series to evaluate the limit tan-¹ y - siny lim y→0 y³ cosy

A: Expand series and solve

Q: {CLO-2} Evaluate lim f(x) where (4x-1 if x3 O does not exist O 11 O 12 O 13

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Q: 5.) Find fog and go f, and their domains. f(x)=√x - 4, g(x) = x²

A: Given :f(x)=x-4g(x)=x2

Q: The critical number(s), if any, of the function f(x) = (x²-3x+2) is (are):

A: critical points of fx=x2-3x+2-13

Q: A drag racer accelerates at a(t) = 96 ft/s2. Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A: To find out the distance/position function.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

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Q: Find the value of the following implicit derivative tan y-sec x=5 find...y'

A: Given problem :- Find the value of the following implicit derivative   tan(y)-sec(x) = 5 find   y'

Q: Evaluate lim x-2-2-√√4x-x²

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Q: f(x)=xe*, a =0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Evaluate the following integrals. 0 (Cartesian to Polar) Civen the cartesian coordinate, find FOUR…

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Q: 4- у ду dx 2 ху +x = 0

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Q: 2 3s +9 Option 4 Option 2 Option 3 -3t e co 2 3 23 e 3 -St None of the choices 3 -3t 2 Option 1 e

A: Given :L-123s+9

Q: (CLO-3] The second derivative f(x) of a function is given. Use this information to find all values…

A: The second derivative f''x of a function is given. By using this information to find all values of x…

Q: EC) Find the average value of the function f(x,y)=²+2x+3y-15 over the rectangular region R=…

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Q: 2. Error Analysis. Please complete the following parts in sequential order. a. Solve 2 log4(x-3) +…

A: The given problem is solved below in detail.

Q: 4. Solve each for angles between 0° and 360°. (Round final a steps.) a) cos=-0.2186 b) 5-2 sin0 =…

A: The solution as follows :

Q: Find the particular solution (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1 What is the particular…

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Q: SUBJECT: DIFFERENTIAL CALCULUS NOTE: Make the solution detailed and clear in a sheet of paper.…

A: Topic:- application of derivatives  Note:- as per our guideline if more than one question uploaded…

Q: Find the derivative of the function at Po in the direction of u. g(x,y)= x-y 3xy + 2' Po(-1,1), u…

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Q: Use differentials to approximate the value of (1.02)².

A: Given :y=(1.02)2

Q: 10.) Solve. Write the exact solution in terms of logarithms. el-3x = 4

A: This question can be solved using the concept of natural logarithm.

Q: S0³ (0+2) de -3

A: ∫θ-3θ+22dθ

Q: 3 =+1)

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Q: Differentiate the following using Chain Rule. 1. f(x) = (2x - 1)4

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 0 Convert the following polar equations to Cartesian form and identify its graph. a.) r = 2 (3 cos +…

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Q: Find the area under of equation x +y = 3, From x = 1 to x = 3.

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Q: Q/Use Lagrangian polynomial to find f'(2.1) from the following table x 1 2 3 17 22 f(x) 10

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Q: F- 2x-7 h(a) √√x +3 the function Find the Domain (11) Range of (11) Show wheather the function is…

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