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Q: (a). [usin(u)du (b). ſu cos(u)du Hint: Use the result of (a) after one use of integration by parts! ...

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Q: I. Write the equation of an ellipse from general to standard form. Write your final answer on the sp...

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Q: The graph above is a transformation of the function f(x) Write an equation for the function graphed ...

A: The given graph is:

Q: Consider the following sequence: (an) = nt1 to show that the given sequence (a,) is strictly increas...

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Q: Find the derivative of the function. y = 9Vx y' = %3D

A: Our Aim is to find the derivative of y=9x -(i)

Q: Find the DE of the family of plane curves described and sketch some of its members.

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Q: Identify the quadric surface each of the following equations represent and sketch its graph. O 92" +...

A: 9 x2 + 4y2 + 36 z2 = 369 x236+4 y236+36 z236=1x24+y29+z21=1x222+y232+z212=1

Q: lim f(x) if f(x) = x--1 if x 2

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Q: 3. Let f(r, y) = y²x – yx² + xy. Find all critical points of f.

A: We have to determine critical points of f 

Q: 4. The graph of the function f(x)= /16-x² is a half-circle. If we shift this graph 2 units to the le...

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Q: 1. If x'y-xy'+x' +y = 0 find y. %3D

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Q: Find the values of a and b that make f(x) continuous for all real x.  f(x)= (2^xb+a+1,  x 1

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Q: Use the Reimann ntegral to evaluateS vdv.

A: In this question we have to find the Reimann Integral.

Q: Evaluate the following expression using a unit circle. 11n sin 6

A: Given that: sin11π6

Q: Find the infinite sum (if it exists): 00 i=0 If the sum does not exists, type DNE in the answer blan...

A: We need to find the infinite sum.Below find the detailed solution in the image.

Q: limits justifying 1.E valvate the (l answers with CalcUlativns or expianution- part Ai lim x²-X-6 wi...

A: Topic = Limits

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: 3.) y tanʼxdx +ln* ydy = 0 dy_ (y?+4) Inx In (y?+4)Y 5) dx

A: y tan2x  dx + ln4y dy = 0∫-tan2x  dx =∫ ln4yy dy∫(1 - sec2x) dx  = ∫ t4 dt   (where, t = ln y)Hence,...

Q: The monthly revenue R (in dollars) of a telephone polling service is related to the number x of comp...

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Q: V+1 ? 4. What is the value of the lim2 А. О 3 D. 3 С. 2 В. 1

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Q: Given the graphs of f(x) and g(x) below, determine the value of the expressions below. y = f(x) y = ...

A: Given that:                      

Q: Evaluate the following triple integral: 3 x x 6z dzdydx 0 0 y

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Q: Question 3 A gas station has a cylindrical tank lying horizontally underground. The tank is 15 m lon...

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Q: 3. Answer each question for the given polynomial function, f (x) = -2x² (x + 1)2(4x - 1). a. Find th...

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Q: 2. If X(-2, -6, 5) and Y(3, -4, 1) are two points in R³ , determine: a) XY b) | XY | in reduced exac...

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Q: 3. f (x) = V1+ v1 – x 4. у %3

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Q: Let T be the triangular region with vertices (–1,0), (0,1), and (1,0). Use an iterated integral to e...

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Q: Find the curvature κ of r(t) = at t = 0. Simplify your answer

A: use curvature formula for vector valued function.

Q: -3 dz Find S 225922=4

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Q: (4x'y – 15x? – y )dx +(x* +3y² – x)dy=0

A: Solution of differential equation is written in step2.

Q: Read each item carefully and encircle the letter of your choice. 1. It refers to an extreme point on...

A: 1.     2.

Q: 4. -6 -3 -3 -2 -1/ The graph above is a transformation of the function x² Write an equation for the ...

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Q: ) H (æ) = 13- 2a+36a -2 then f is concave down ou (A) (-0,-3) and (-3, 0) %3D (B) (-, -3) and (2, 00...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 9. Some weird shapes: For the following functions, use desmos to plot them dy for each of dx and com...

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Q: 4. Find the General and Particular solution of dy -8 sin 4x ; y = 6 when x = 0 dx dy

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Q: A. Evaluate each of the following definite integrals. 2 S (8x3 + 3x2) dx 1.

A: Given that:

Q: CL Activity # 4 # 19 III. Find the derivative of the following using implicit differentiation. 19. e...

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Q: A population of squirrels lives in a forest with a carrying capacity of 1200. Assume logistic growth...

A: NOTE: Refresh your page if you can't see any equations. . the logistic model is given by here carry...

Q: Find lim,-1 f(x) -3 -2 -1 2 O lim,→-1 f(x) = 2 O lim,-1 f(x) = 1 O lim,-1f(x) = -1 Lx→-1 f(x) = –1 O...

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Q: 4x3+3x2- 30x-33 da Consider the indefinite integral x2 - 9 Then the integrand decomposes into the fo...

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Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx...

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Q: Write the vector (-5, -9) as a linear combination of the vectors (-2, 3) and (1

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Q: Evaluate the integral: -dz (A) Which trig substitution is correct for this integral? Oz= 17 sin(0) z...

A: Given that: ∫17x2-9x4dx

Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what ...

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Q: Which of the following is the formula for finding the distance between two points on the coordinate ...

A: The formula for finding distance between two points (x1,y1) and (x2,y2) is, d=(x2-x1)2+(y2-y1)2 Opti...

Q: If lim,→2 f(x) = 4 and lim, +2 g(x) = 7.Use %3D these facts and limit laws to evaluate lim, 2[3f(x) ...

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Q: 2. Explain the process of evaluating the derivative of f(x) = (x³ – 1)100

A: We need to apply chain rule to find the derivative of given function. Formula to be used÷ 1) ddxfxn=...

Q: Identify the quadric surface each of the following equations represent and sketch its graph.

A: Given:- -4x2 + y2 -25z2 =0

Q: Identify the quadric surface each of the following equations represent and sketch its graph.

A: Given that: 4x2-y2-25z=100

Q: Find the slope of the function's graph at the given point. 8 Function: 9(z) %3D Point of g is at (2,...

A: Slope of the tangent is obtained by dy/dx