A stone is dropped from the edge of a roof, and hits the ground with a velocity of -170 feet per secon How high (in feet) is the roof? Note: the acceleration of an object due to earth's gravity is 32- ft sec²

Q: (อ) 00 n=1 el/n น

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Q: COS(X) sec(x) = tan(x) sin(x)

A: Given; 1/cos(x) - 1/sec(x) = tan(x)sin(x).

Q: Write the first four terms of the sequence Sn = (−1)n+1 2n+1

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Q: Fill in the missing values below one at a time to find the quotient when 2x³ +11x² + 6x - 3 is…

A: 2x3+11x2+6x-3 divided by x+1

Q: 2-Solve S x-2 x²-4x+5 dx

A: The given integral is: I=∫x-2x2-4x+5dx   Use the common integral formula. ∫1ax+bdx=1alnax+b+C

Q: 40 sin(20) — 2cos (20)

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Q: L {5-e²t +6t2} L {t²-3t 2e sin(3t)} MA L {t-t²-t+sin(√2t)} D

A: The answer is given below: Topic: Laplace transformation

Q: 4x -2/3 dx nut your fre

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Q: Evaluate the following integral: 2x²-1 (3x-1) (x²+1) dx S

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Q: Newton's method to approximate a root of the equation 5x³ + 2x + 4 = 0 x₁ = 1 be the initial…

A: Topic:- application of derivatives

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: 27. Determine whether the function f(x) = −2x² + 5x has a maximum or minimum at 5 the point where x…

A: Given function;- fx=-2x2+5x

Q: A particle moves along the x-axis with velocity given by v(t) = cos (t) for time t > 0. If the…

A:

Q: (Click on graph to enlarge) RIVATIVE y = f'(a) is shown above. Assuming that y = f'(a) does not…

A: Given query is to find where function is concave down.

Q: 2) Draw an expansion path in which it becomes cheaper for a firm to use K as it gets bigger.

A: We know that the production function of the firm: q=f(x,y) which gives us the isoquant map of the…

Q: -1 Practice Leveled Practice The scatter plot shows Leanna's elevation above sea level during a…

A: y-intercept or vertical intercept is a point where the graph of a function or relation intersects…

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = log5 (82x)

A: doamin of logx  is  x>0f(x)=log5(8-2x)for domain  8-2x>0

Q: 1. Let G₁ be the solid in the first octant that is inside the paraboloid 2x² + 2y² = 8z and below…

A: Given: The paraboloidz=8-2x2-2y2 We can take it as, ⇒x2+y2=4 So, r=2 in polar coordinates. x=rcosϕ,…

Q: 9x² Consider the function f(x) = 9x² Enter the antiderivative of f(x) + + 3x6 3x6 − 3x² – 1. + C

A: The given function fx=9x9+3x6-3x2-1. We hva to find the antiderivative of fx.

Q: Calculate the integral Ita tan5 (x) sec² (x) dx.

A: To evaluate the given integral.

Q: Let s(t) = t3 - 30t2 + 18t + 47 be the position function of a car moving along a horizontal line,…

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Q: 1. The position of a particle moving on a straight line is given by the function: S(t) = t3 - 6t2…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 4. f sin² cosdx 2 2

A: ∫sin2(x2)cos(x2)dxd dx(sinx)=cosx∫xndx=xn+1n+1+c

Q: The system of first order differential equations has solution y₁ (t) = = y₂ (t) = [3/1₁ 13/12 = - -7…

A: Please see the below picture for detailed solution.

Q: Find the limit of the following sequence or determine that the sequence diverges. 4+1 4n -2

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Q: The rate at which a battery charges is slower the closer the battery is to its maximum charge Co.…

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Q: iven by rearranging the order of integration t 1-y e2-2² dz dx dy

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Q: Determine y. y = 1-CD52x 1+ cos2x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let D be the trapezoidal region in the xy-plane bounded by the graphs of x = 0, y = 1, y = x and…

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Q: μ²2 Solve for the total differentials of - 2 +rsine - rcose - C. The answer must be (r + sine −…

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Q: Estimate I = J (a) Left endpoints. x sin(x) dx using the partition {0, co | == -} and 6' 43' 2

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Q: Find Sn for the given arithmetic series. a₁ = -74, d = -3, n = 20

A: Solution: Given: a1=-74,  d=-3, n=20

Q: Find the quotient of polynomial expression using long method and synthetic division. 2. (3x4 + 5x³ -…

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Q: Find the volume of the region under the surface z corners (0, 0, 0), (8, 0, 0) and (8, 8, 0). Round…

A: Volume of the region is given by ∬f(x,y)dA

Q: Question Find the indefinite integra S(4x³-7x³ + 3x - 12) dr For the toolbar, press ALT+F10 (PC) or…

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Q: Find the general solution of the following ODE. y(4)−4y′′=0 Fill in the banks: y= c1+ c2(__) _…

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Q: The picture below shows the graph y = f'(x) of the derivative of a function y = f(x). For each of…

A: The graph of y=f'x is given as , find the labelled points as MAX,MIN,INFL,INT.

Q: Z Find zw and Write each answer in polar form and in exponential form. W Z=2 cos z=2c w = 4 cos 2π 9…

A: According to question,Given Complex Numbers,z = 2 cos 2π9 + i sin 2π9w = 2 cos π9 + i sin π9

Q: True, False or Indeterminate: You should use a polar coordinate transformation to integrate f(x, y)…

A: The statement is False.  The integration of this integrand can be easily calculated using the…

Q: 2-Solve f 3x²-3x+1 (x+1)²(x+2) dx

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Q: Perform the indicated operation if possible. -2 -4 5-6 + -6 1 -9 3 *** Select the correct choice…

A: Perform the given operation -2-45-6+-61-93

Q: A 1,0 -4 1

A: The graphs of the functions are

Q: The function f(x) 7x has one absolute maximum value. Find it by using calculus. 1 + 2x² The absolute…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Consider the function f(x) = 9x³2x² + 5x – 8. = - An antiderivative of f(x) is F(x) Ax¹ + Bx³ + Cx²…

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Q: Find the volume of the solid that lies under the cone z = 7- (2² + y²) and between the range of 3 ≤…

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Q: 5.f(Inx)²dx

A: To solve the given integral.

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

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Q: Question 4: Solve the following equation for x: log4 9x² = log₂ (5x - 8) log, a HINT: Consider using…

A: logxn=nlogxif loga=logb    then a=b logba=logcalogcb

Q: Consider the linear system a. Find the eigenvalues and eigenvectors for the coefficient matrix. b.…

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Q: Consider the function f(x) = = Let F(x) be the antiderivative Then F(x) = 3 6 x3 x5 of f(x) with…

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