5 if x < - 2 Sketch a graph of f(x) – 2x +1 if – 2 < x < 1 - 2 if x > 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Convert x 2 + y 2 = 8 to a polar equation. r = 4 r² = 8 r² = 64

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Q: Cases and Complements 1. A group of four animals will be selected for adoption from a group of 10…

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Q: b. g = f(t, v) = tv, t = In m v = m

A: We can solve this as follows:

Q: Evaluate

A: As per the guidelines we can solve 3 parts only only. Please repost the same for more answers.

Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r&gt;0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

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Q: Given the polar coordinates (1, - 4), which of the following would represent the p ㅇ(1, 쫄) O (1, 7)…

A: Given query is to find the equivalent positive angle coordinates.

Q: Select the answer option that corresponds with polar coordinates (4,-120\degree). 90° 2 W/2 150° 45…

A: Option

Q: Convert the polar coordinates (4, 315) to Cartesian coordinates. (2√3, -2) (2√2, -2√2) (2, -2√3)

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Q: 19 Convert the Cartesian equation x - 5 = 0 to a polar equation. r = 5cscθ r = 5cosθ r = 5secθ

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Q: For f(x,y)=2(2x2+y3)4: (a) Determine fx(x,y) . Answer: 32 (2x ? +y)²(12x + 2x² + y³) (b) Determine…

A: Given problem :-

Q: 3920 - Sp22 5.4 A person's investment is expected to produce a continuous stream of revenue R of…

A:

Q: Find the total differential and total derivative. For the total derivative it is with respect m (or…

A: The objective of the question is determine the total differential and total derivative of the given…

Q: Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars)…

A: P(n) = n(50 - 0.5n) - 100 P(n) = 50n - 0.5n2 - 100 Domain : [ 0,100 ] Now, P'(n) = 50 - n  To Find…

Q: Evaluate the following integral: •Vx+4 sin(y – 3y?) dy Jx+4 | 2

A: First we integrate the given function and then we put limit and simplify.

Q: 19. Evaluate the given integral, ſe*1+ ex dx: A.(1 + e*) + c B. (1 + e*)} + e c. (1 + e*)* + D. (1+…

A: Evaluate the given integral,

Q: Solve the Indefinite Integral. S sin Vædz

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Q: y = x° – 6x, y = x² у — х b. Find the area of the region enclosed by the two equations. Only include…

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Q: Given the area of the region enclosed by y = 4 – x' and y = -x+2, identify the BOTTOM function.

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Q: V3 a. Determine whether the Mean Value Theorem applies to the function f(x) = sin 'x on the interval…

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Q: Of all rectangles of area 100, which has the smallest perimeter?

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Q: 13. Evaluate the given integral, ſ t (t² – 9)i: A. (1² – 9)* + e 3 . (t2 -9)호 + c В. 3 C. · (t² –…

A:

Q: 2 arcsin ++2rk, ±- 4 - 2rk + 2жk 4 ±"+27k, ±- 4 - 27rk + 2жk 4 57 + + 2rk, ±- 4 - 2rk 4 ++2rk, ±: 4…

A: sin-(-2/2) 2/2 = 1/2 sin-(-1/2) sin is negative in 3rd and 4th quadrant so here π + π/4 = 5π/4 and π…

Q: Use long division to divide. (x³+ 4x²+x+ 4)÷ (x+ 4) x²+ 8x+ 33 x2+ 1 120 x²+ 8x+ 33+ x+ 4 x²– 4 129…

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Q: A triangle is defined by the three points: A = (8,7) В 3 (5, 2) C = (7,9). Determine all three…

A: Given problem:- A triangle is defined by the three points: A = (8, 7) B = (5, 2) C = (7, 9) .…

Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

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Q: Drection: Evalate /(2) fr the gien functons. a. -2 b. -6 d. 2 4 f)=P-4 a. 3 b. 6 c. 12 d. 2

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Q: Consider the function below. f(t) = t + cost, -2n sts 2n (a) Find the interval of increase. (Enter…

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Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: cot'x csc'xdx 4.

A:

Q: Let f''(x) = 2x + 4 and suppose f'( – 1) = 6 and f(– 1) = 3. Find f'(x) = and find f(3) =

A: Given,            f"(x) = 2x + 4,           f'(-1) = 6,           f(-1) = 3

Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

A:

Q: Write the complex number in standard form. 3-V-30 4 + 30i 3 + 30i 3 – V30i 7- 30i O 4- 30i

A: Simplify using basic concepts of complex number.

Q: over the interval [2,00). 2x2 Find the area, if it is finite, of the region under the graph of y =…

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Q: Find the slope of the line 5x- 3y-1=0 O a. 5 O b. 5/3 O c. 3 3/5

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Q: The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is…

A: Here we will find asked quantities,

Q: Find the equation of the following hyperbola. Express your answer in standard form. Enable Zoom/Pan…

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Q: y =x, 4x + y =12

A: Let's find.

Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Here, the given functions are: D(x)=100x, S(x)=x

Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – in [-1,4] is: 4.5, 4…

A: We have to find out the maximum and minimum value

Q: 1) Sketch the curve. a) r=-2 sin O Show All Work

A: Here we have to sketch the given curve.

Q: Direction: Find the derivative of each of the following functions. Write your solutions on a…

A: We have to find the derivative

Q: Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) = 2,…

A: We can draw the graph as follows

Q: x = r° +1, y=r² -t a) Find dy/dx Show all your work.

A: x =f(t)dxdt=f'(t)   y=g(t)dydt=g'(t)Then,dydx=dydtdxdt =g'(t)f'(t)

Q: Advertising You are the marketing director for a company that manufactures bodybuilding supplements…

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Q: ax +3, if x<2 bx² +2, if x 22 f(x) =- It is given that f(1 and f(2) = 6. Find the value of f(a+b). O…

A: We will put all the values to find the values of a and b .

Q: Let f''(x) = 36 sin(6x) and suppose f'(0) 6 and f(0) = 4. Find f(5) a(;) =

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