An object is thrown. tt seconds after it is thrown, its height is given by h(t)=-16t^2+128t+200 feet The object reaches its highest point after  seconds.   The object's maximum height is    feet

Q: Given that f(x) = x³h(x) h(-1) = 4 h'(-1) = 7 Calculate f'(-1).

A: given data f(x) = x8h(x) h(-1) = 4 h'(-1) = 7 find f'(-1) = ? here we have to find the derivative of…

Q: Use the graph of the function f shown in the figure to the right to estimate the indicated function…

A: Given graph:-

Q: e)- Assume that now | x1 = R. Show that x-X=0 [Hint: Differentiate constrain't ev]. Deduce that I is…

A: It is given that: X⇀=R so, we get, X→2=R2

Q: = The region bounded by f(x) = 2x² + 10x + 28, x = about the y-axis. Find the volume of the solid of…

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Q: 08/298 1 4:2

A: Topic:-  Binary number system

Q: 21. 2(3*+¹)=3(2-¹)

A: 23x+1=32x-1

Q: Use the guidelines of curve sketching to draw the graph of x² x-1 y =

A: We have to sketch the given curve.

Q: Let u₁ = 0 -6 -4 0 A. The vector , U₂ = Select all of the vectors that are in the span of {u₁, U₂,…

A: We have to select the vectors that are  in the given span.

Q: Express the location of the point (5,- Sorry, that's incorrect. Try again? 7π 7). given in spherical…

A: The given coordinate: 5,π6,7π6.

Q: (b) / 54x+7 dx

A: Topic :- application of integration

Q: 1. 32x+32 = 9x+1

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Q: The derivative of a function of f at æ is given by provided the limit exists. f(x+h)-f(x) = f'(x) =…

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Q: Find dx dy dx dy dx dx dy of the function xye' 2xe-x² + y2 2ye-x²+y2 2ye+²+y2 y-2x²y x (2y ²-1) 2xe…

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Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

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Q: Find the volume of the solid whose base is the semicircle y = √9-x² where -3 ≤ x ≤ 3, and the cross…

A: Finding the volume of the solid : We have to find the area of each square to find the volume of the…

Q: Use the Shell Method to calculate the volume obtained by rotating the region under the graph of…

A:

Q: 112 15 ket is being launched. After a while, it rises at a constant velocity of 5 miles per second.…

A: Given query is to find the rate of change of height.

Q: Exercise 2.6: Another infinite sum that generates 7 is given by 1 1 1 + - 5 Solving for 7, we obtain…

A:

Q: Find the positive integer that minimizes the sum of the number and its reciprocal.

A: Let the positive integer is x ( x > 0) The sum of the number and its reciprocal is f(x)  (let),…

Q: Find the critical points in the domain of the following function: y=sin(x)2. If there are no…

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Q: Question 4 v Use logarithmic differentiation to find the first derivative. Enter your answer without…

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Q: Find the indicated trapezoid rule approximation to the following integral. 1 Se exdx using n = 8…

A: By trapezoidal rule, ∫ab f(x)dx= h/2 [f(a)+2[f(a+h)+....f(a+(n-1)h)]+f(b)] Where n is the number of…

Q: Suppose f(x, y) = xe 2-32². Answer the following. 1. Find the local maxima of f. List your answers…

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

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Q: Consider the following. x = 3 sin(68), y = 3 cos(68), Oses" (a) Eliminate the parameter to find a…

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Q: 2. y"+3y"+4y+2y=0; y(0) = 4; y'(0)=-4; y"(0)=1 a. y=e** (4+sin x) b. y = 4e* cos x c. y=e*(1+3 cos…

A: We need to solve D.E.

Q: Use the first derivative test to find the location of all local extrema in the interval (0, 2) for…

A: given f(x) = 2sin3x - 5 for maxima or minima step 1) find points where f'(x) = 0step 2) if f''(x)…

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE. Enter…

A: We have to find the vertical and horizontal asymptotes.

Q: 32. The vectors (6, 4) and perpendicular. Find k.

A: Given that the vectors are perpendicular

Q: Which of the following is the integrating factor of the given linear DE ? dy -8cos(2x) + 6ycos(3x) =…

A: Find the integrating factor

Q: 3. logg (x² + 12x) = log27(x² + 12x) = log32

A:

Q: Differentiate the following functions using INCREMENT method of differentiation: 7. y=9a²x+8b; where…

A: We need to differentiate the function.

Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated…

A: Given y2 + 4y + 3x = 0point - ( -4 , 2 )

Q: Express f(x) in the form f(x)=(x-k)q(x) +r for the given value of k. f(x)=x³+4x²+6x +4, k = -2

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Q: dy Use implicit differentiation to determine given the equation xy + x¹ = y². dx dy dx ||

A: Given xy+x4=y2

Q: 2. Consider the function f(x) = (2x³5x + 1) (3x² − 4). A. Distribute out the product of the two…

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Q: Which of the following is equal to the derivative dy x(xyet-coslogy) dx y(xye-¹-coslogy) of the…

A: Let's find derivative of given function.

Q: (x) = Find the partition numbers for f'. Select the correct choice below and, if necessary, fill in…

A: Topic:- application of derivatives

Q: A 13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

A: Let horizontal distance = x vertical distance = y let length of ladder denoted by = k given k = 13 =…

Q: 3) The price of a house is $500,000. You make a down payment of $50,000 and take a 30-year mortgage…

A: Let's find monthly payment, total amount paid and interest over the life of the loan.

Q: You are building five identical pens adjacent to each other with a total area of 1100m², as shown in…

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Q: Find the intervals on which the graph of f is c f(x)=x³ - 15x²+2x+6 For what interval(s) of x is the…

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Q: Evaluate: a) O 87 3 b) 4T c) 0 2T d) O 16T 3 e) 8T TIT 0 0 rdz dr de

A: Solution :∫0π∫02∫0r2rdzdrdθ∫0π∫02r∫0r2dzdrdθ∫0π∫02rz0r2drdθ∫0π∫02r3drdθ∫0π∫02r3drdθ∫0πr4402dθ∫0π4dθ

Q: Determine whether the table could represent a function that is linear, exponential, or neither. If…

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Q: Consider the equation y = 3.42e-0.0096t, which is of the form y = Aert, to fill in the following…

A: The Answer is in step2.

Q: Find the point(s) on the curve y - The point(s) are separated by commas) 10 closest to the point…

A: Let's find points on given curve which is closest to the point (0,9).

Q: Express by repeated integrals. Do not evaluate: The volume of the solid bounded above by the…

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Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in…

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Q: Sketch the curve of the following:  y = ∛x3 + 1  (everything except the y is under the ∛ symbol)…

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Q: Question 4 Use logarithmic differentiation to find the first derivative. Enter your answer without…

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