Find a function of the form y= A sin(kx) + Cor y = A cos(kx) + C whose graph matches this one: -20 -19 18-17-16 -15 -14 -13 -12 -11 -1-9-8-7 -6 -5 4 3 ↓ y = 4 -2 -3 4 (Leave your answer in exact form; if necessary, type pi for .

Q: Find the area of a triangle PQR, where P = (1, 4, 4), Q = (2, 5, 6), and R = ( − 4, − 3, 5)

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Q: Consider the following. y 2- directrix 1.5- 1- 0.5 -0.5- Find an equation of the parabola. Find the…

A: Parabola

Q: If f(z) = sec(9z), then ƒ'(x) = O-9csc² (92) -9csc(9x)cot (9x) 9tan² (92) O. 9sec(9z)tan(9z)

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Q: Find the vectors T, N, and B at the given point. r(t) =   8 cos(t), 8 sin(t), 8 ln(cos(t))  ,…

A: The given vector is:r(t)=8 cos(t), 8 sin(t), 8 ln(cos t)and the given point is:  (8, 0, 0)Therefore…

Q: 2. Find f'(x) for f(x) = x²e.

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Q: (8) Compute 100 [ f(x) dz 3 f(x) dx where f(x) = √9-x² ³x+3 if -3<x<0 if 0<x< 50 -162 if 50 ≤ x ≤…

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Q: on (a,b) 6) If the second derivative of f exists on (a,b) and the graph of f has an inflection point…

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Q: You would like to have $800,000 when you retire in 25 years. How much should you invest each quarter…

A: Given query is find quarterly payment, total amount deposited,and interest earned.

Q: A boy owns 5 pairs of pants, 6 shirts, 5 ties, and 2 jackets. How many different outfit itom?

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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 values of the trigonometric functions of 0 from the information given. tan(0) = -3, sin(0)…

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Q: 3. Find the centroid of a thin flat plate covering the region enclosed by the parabolas y = x² − 3…

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Q: If f(x) = 3x² x = find -9, find a so that f'(x) = 0. 10x - 9, Preview

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Q: Does the following alternating series converge absolutely, converg conditionally, or diverge? Show…

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Q: Given the equation y The period is: = The horizontal shift is: 5 tan(3x + 12) units to the Select an…

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Q: Find the stationary points and local extreme values of f(x, y) = 2x² + xy + 3y² + 4x + y.

A: Extream values

Q: a. Approximate the given quantity using Taylor polynomials with n = 3. b. Compute the absolute error…

A: We need to estimate value and find error.

Q: Assume that sin(x) equals its Maclaurin series for all z. Use the Maclaurin series for sin (32²) to…

A: Here given that,  Sin(x) is a maclaurin series. And using these for Sin(3x2), we have to find out…

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

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Q: You would like to have $800,000 when you retire in 25 years. How much should you invest each quarter…

A: Given query is to find quarterly payment total amount deposited and interest earned.

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 2i + 4j - 4k, b =…

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Q: 13. Determine which of the following alternating series converge and which diverge. Justify your…

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Q: 2. Suppose that f(x) = ((.x² + x·5).5 +.r.5).5 when x ≥ 0. Find df(x)/dx. •5 (@ï¥2³ )² +x²)+…

A: The answer is given in step 2

Q: Explain why the following is NOT continuous at x=3. What type of discontinuity is it? USE A LIMIT…

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Q: 2. Consider the region bounded by y= ln(x-1 -1), y=2-x and x = 4 (see the figure on the right). a.…

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Q: Evaluate the following integral using trigonometric substitution. √81-x² What substitution will be…

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Q: f(x) = ex/³; [1₁3]

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Q: b) _E=1n"x"

A: The given series is: ∑n=1∞ nnxn

Q: 3) (i) The velocity and acceleration of a particle is given as v=-4i -9j + 5k and a= 6i- j + 3k Find…

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Q: Find the area of the surface. The part of the plane z = 9 + 3x + 5y that lies above the rectangle…

A: Given  plane z =9 + 3x + 5y  lies above the rectangle [0,9] x [1,4]

Q: (c) Use the graph to find T₂. T₂ = 27 x How does it compare with I? T₂ <✔✔ I (d) For any value of n,…

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

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Q: Find the value or values of c that satisfy the equation function and interval. f(x) = In (x-3), [4,…

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Q: For the following function, solve both f'(x) = 0 and f''(x) = 0 for x. f(x) = x(x - 2)6 f'(x)=0 when…

A: Givenf(x)=x(x-2)6   We are required to find points at which f'(x)=0 and f''(x)=0

Q: The first term of an arithmetic sequence is 11, and the tenth term is 3. (a) Find the common…

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Q: What is ? O-sec(x)tanx sec(x)tan(x) O-cot(x) O-csc(x) (sec(x))'

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Q: Solve 6 sin² (x) cos(x) - 4 = 0 for all solutions 0 < x < 2π X- - Give your answers accurate to 2…

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Q: Which means the same as arctan ? Circle all that apply. cotan x 1 tan x -1 (tan x)-¹ tan¯¹(x) tan…

A: arctan x is the inverse of the trigonometric function tan x

Q: Find the center of mass of a lamina as pictured below, with inner radius 1 and outer radius 2, with…

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Q: why it was converted to RCS?

A: The CCS is converted to RCS system to get the vector BA.  The vector calculation is easier in RCS…

Q: Find the value or values of c that satisfy the equation f(x)=2x² + 5x - 3, [-1,2] f(b)-f(a) b-a =…

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Q: What is ? d de (cot 0)

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Q: Graphs of implicit equations between and True X do not necessarily represent functions. O False Y

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: (a)   slope =dydxy=5x2+5,  point  (-5,130)dxndx=nxn-1

Q: The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers…

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Q: 4. Find dy for y u² eu for y=+* du

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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: Consider a 25-N weight suspended by two wires as shown. If the magnitudes of vectors F₁ and F2 are…

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Q: Σ(-1) Given the series n- 1 Does this series converge or diverge? diverges converges If the series…

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Q: √² (2 − x)² dx

A: