Given the derivative of a continuous function, f'(x) = -16+64, if each of the critical points and key values of the function were ADDED together, their SUM total would be: O 5 O21 O 16

Q: O Find the points at which the polar curve r = 4cose has horizontal tangent lines.

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Q: Question 3: Supply the missing constant, k, so that the resulting trinomial is a perfect square.…

A: The given polynomial is:x2-8x+p

Q: 18) Suppose P'(x) = 5ex - 6x³+ 4x and P(0) = -9. Find P(x).

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Q: Find the indefinite integral (9+9 tan²0) do.

A: To find given integral.

Q: Consider the functions y = (x - 2)² +3. 13. a. Find the inverse of the function. b. Find f-¹(-4). If…

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Q: S=4+² -2t³, t = -1

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Q: Find the following limits. Show your work. x² + 3x lim a) x-4 x² - x - 12 lim b) x-0 tan(x) X

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Q: b) Look for the power series representation of In(1 + ax) by integrating term by term from 0 to x a…

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Q: Use l'Hôpital's rule to find the following limit. 1 In (x-8) lim x-9¹ 1 X-9

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Q: Simplify and write the trigonometric expression in terms of sine and cosine: 1 + cos y 1 + secy

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Q: Solve 6 sin(26)- 1 cos(p) = 0 for all solutions 0 < < 2π Φ Give your answers accurate to at least 2…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity take,  use the formula

Q: Solve the following initial value problem. 3 y'(x) = 8x³-12x,y(1)=0 y(x) =

A: given   y'(x)=8x3-12x-7  ,   y(1)=0we know  ∫xndx=xn+1n+1+c

Q: h (t) = 9t³ - 7t +5 t³et 8 5t5

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Q: 4) Write the taylor { Cn(x-2) n não series for f(x) = ex about x = 2 as

A: Given that fx=ex centered at x=2. We have to find the Taylor series for fx.

Q: EXAMPLE 10 (a) Evaluate the integral below as an infinite series. fe-z² (b) Evaluate the integral…

A: Please see the below picture for detailed solution.

Q: Find the inverse of f(x) f ¹(x) = = 52+4 3x − 4

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Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2x). (Enter your…

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Q: Write z₁ and Z₂ in polar form. (Express in radians. Let 0 ≤ 0 Z2 = Find the product Z₁22 and the…

A: As per the instruction, we will be answering only answering the first three subparts. Given: For…

Q: 2. Find the absolute maximum and absolute minimum values of f on the given interval. (b) f(t)=2cost+…

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Q: Write the integral in rectangular coordinates, and then evaluate it. i) xyz dV where G lies below z…

A: Given that , z=1-x2 and the rectangle is R=x,y:-1≤x≤0 , 0≤y≤2 Evaluate ∫∫∫GxyzdV=?

Q: Find all solutions of the equation 2 cos 3x = 1 in the interval [0, π). The answer is 1 = , I₂ with…

A: Given query is to find the solution of the expression.

Q: 2. Find the equation of the tangent line to sin(x + y) = y² cos(x) at x = 7, y = 0.

A: To find the equation of tangent line

Q: Giving a test to a group of students, the grades and gender are summarized below A B C Male 16 20 15…

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Q: 10. For each of the following two sequences, i) Write the first four terms of the sequence, ii)…

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Q: Find the derivative of y. y = cosh x5 O -5x sinh xã O sinh xã O 5x4 sinh xã O sinh xã

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Q: Supply the missing constant, k, so that the resulting trinomial is a perfect square. Then factor the…

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Q: The population of a bacteria doubles in 30 minutes. How many minutes will it take to make the…

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Q: Suppose that the position of one particle at time t is given by x1 = 5 sin(t),    y1 = 2 cos(t),…

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Q: Find the standard form of the ellipse given below in general form. 18x² +108x +9y² – 54y +81 = 0

A: Solution: 18x2+108x+9y2-54y+81=0  The standard form of the ellipse : (x-y)2a2+(y-k)2b2=1is the…

Q: Graph the ellipse given below by dragging the center, vertex, and co-vertex points to the correct…

A: To graph the ellipse given below with the center, vertex, and co‐vertex to the correct…

Q: x3 y 0 Jo exdydx

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Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

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Q: What is the value of O12+ In 2 06+In 2 06+In 8 O 10+ In 8 O 12+ In 8 +1 [^² ²² +¹ dz X

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Q: Find the Taylor polynomial of order 3 centered at 0. f(x) = ex 12 2 1 3 OA. P3(x)=1-x+ O B. P3(x) =…

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Q: 6 5 4 3 2 بدر y = f(x) 17 01 2 3 4 5 = 6 7 8 9 Find the following limit. Enter DNE for undefined or…

A: Graph of the function y=fx is given. We have to find the limit limx→8+fx.

Q: EXAMPLE 7 Sketch the conic below and find its foci. 25x²9y²-150x + 36y + 414 = 0 SOLUTION We…

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Q: ind both the consumer's and producer's surplus if for a product D(x) = 46x, S(x) = 14 + 2x 2 . Round…

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Q: O O Let F(s) = O est 5 e5t 5 est 5 + 6|5 t 5 O 6e5t 5 None of the others 1 s²-5 s 1 5 then £¹{F(s)}…

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Q: Y = f+₁ + fot-, h= 71

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Q: In the previous Problem Set question, we started looking at the position function s (t), the…

A: we need to find out the velocity and acceleration function.

Q: Supply the missing constant, k, so that the resulting trinomial is a perfect square. Then factor the…

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Q: Given the triangle 22/ X = 37° 16° answer to 4 decimal places. X 3 find the length of side using the…

A: To use the law of sines and find the value of x

Q: Find the following using the table below. x 1 2 3 4 f(x) 2 1 4 f'(x) 3 1 g(x) 4 3 2 1 g'(x) 1 3 2 4…

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Q: What is ? O-1/x O 1/x d dx (In x) loge X ex

A: we need to find the derivative.

Q: A sleeping bag is on sale for $22.81 and has been discounted 30%. What was the original price of the…

A: NOTE: Refresh your page if you can't see any equations. . the price of the sleeping bag after a 30%…

Q: Graph the hyperbola given below using the transverse axis, the center, the vertices, and the…

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Q: Consider the line that passes through the points (-4,4) and (13,9). a. Find the slope of the line.…

A: use the algebraic property of number.

Q: 5) Evaluate the limit of the function f(x) -3x4+4x³+8 lim x→∞0 4x3-5x²+4x-3 -3x4+4x³+8 4x3-5x²+4x-3'…

A: To find the limit of given function

Q: For the given cost function C(x) = 52900 + 800x + x² find: a) The cost at the production level 2000…

A: Given, Cost function C(x)=52900+800x+x2

Q: List each of the mistakes in the following calculations: d a) [(cos z)] = x(cos x)²-1 da d b) [(cos…

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