(d) tan 꽃 3

Q: Areas

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Q: 1.) Which of the following are TRUE about differentiable function: I If rx) exists, then the…

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Q: Exercise 1. Find the following limits 2 3x + tan 2x 2x + x tan 2x sin 1) lim 2) lim 5x +x tan 2x 3)…

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Q: Use the differential to approximate the expression. Then use a calculator to approximate the…

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Q: The figure shows a scale drawing of a water feature and a coin pond that are being installed in a…

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Q: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

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Q: 7) Find all the second partial derivatives of f(x,y) = x³y% + 2aªy.

A: Second derivative

Q: cos(xy) + secy = 5

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

A: Here we have to find relative maximum ,mininmum points and saddle points.

Q: Find the interval of convergence of the power series (x-2)". n =1n

A: Here we have to find the interval of convergence of the given power series.

Q: Use the data in the table below to answer this exercise. Number of Length seconds elapsed (in…

A: We need to determine if the area of rectangle increasing or decreasing.

Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx2 +5x-x-3 dx…

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Q: If h(x) = V6 + 5f(x), where f(2) = 6 and f '(2) = 3, find h'(2). %3D h'(2) = %3D

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Q: 2. The Auxiliary Equation : (4D* – 4D' – 23D² +12D+36)y = 0

A: Given: 4D4-4D3-23D2+12D+36y=0 So, 4m4-4m3-23m2+12m+36=0

Q: Problem 4 Solve x Iпy lnx dy + dx

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Q: 4 Consider the following geometric series: 2 + 8. 16 + ... Identify a and r, find a formula for the…

A: solution:-2+43+89+1627+...first term, a=2common ratio, r=8943=23general term, an=arn…

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x²…

A: 2a intersection

Q: Use a right triangle to write the expression as an algebraic expression. Assume that x is positive…

A: see below the answer and calculation

Q: A particle is moving with acceleration a(t) = 36t + 2. its position at time t = 0 is s(0) = 2 and…

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Q: If f(x) = 7 tan-(2 sin(4)), f'(2) =|

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Q: 0.005t2 + 0.9 Suppose that in a memory experiment the rate of memorizing is given by M'(t) | where…

A: Topic:- application of integration

Q: dy Use implicit differentiation to find dx 2х - 3 5y? 2x +3 dy dx

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Q: dy 7. Chain rule of differentiation Using chain rule of differentiation find for dx the following:…

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Q: Evaluate the given integral. [ 2x?sin(4x)dx

A: The given problem is solved below in detail.

Q: ) Use implicit differentiation to find dz/dx and dz/dy for x² + y² + z² = 3xyz.

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Q: Question 2 ( Consider the function f(x)% = %3D a2+1 (a) Find the intercepts of the graph of f (if…

A: Given that      f(x) = x/(x2+1)

Q: csc2 3x Evaluate J cot³ 3x csc² 3x dx ● 금cot-23z +c O cot 23xcsc3x + c O 6cot 3xcsc3x + c ○ 글cot?…

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Q: Find the derivative of the function. f(0) = 3 ln(6)Pe

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Q: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.) ** =…

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Q: - dx. 3. Evaluate J9x -16 C) 271n|9x° +16 +C D) In px" +16 +C A) 27In|9x° -16 +C B) Inpx° -16| +C 27…

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Q: For nos.2-7, do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the…

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Q: Sx² sec² x³ dx .2

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Q: Researchers found the demand for cheese in a particular country for a particular year can be…

A: The equation is given by lnq = D-1.32lnp                                 ........1 Where, p…

Q: Use the differential to approximate the expression. Then use a calculator to approximate the…

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Q: Given the function x 4 (a) Is f continuous at x = -4? Support your answer. (b) Is f continuous at x…

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Q: x²-4 dx 2. XV xvx²-9

A: ∫1x2+a2 dx =1a tan-1xa+C.

Q: Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the other…

A: Topic:- application of derivatives

Q: Compute the partial derivatives: 5x dz dz

A: Given query is to find indicated derivative.

Q: 10) 4xy dx - (6x² +y) dy so

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Q: sin* x cos? x dx

A: To find out the integration.

Q: Evaluate each of the following integrals. 1. sin x cos' x dx

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Q: Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. t…

A: We have to find the distance

Q: Find the equation of the two lines that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3 = 0 at…

A: Given

Q: a. Sketch the

A: answer is in next step

Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: We need to find dimension of the garden.

Q: 1) Calculate 21+v3i

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Q: Find the following limit or state that it does not exist. x - 4x +3 lim X-3 x-3

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Q: df df Calculate the first order partial derivatives and find and dy dx f (х, у) %3D (ху — 1)2

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Q: 6. If f(x)=3x' -+ 4 + 4x +1, find f(x) and f"(x).

A: Given query is to find the Indicated derivative.

Q: 4. 7. Suppose f(x)dx = -6, f(x)dx 6, and g(x)dx = 2. Evaluate the following integrals. 2 ... Jgndx =…

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