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Q: Given that f(1) = r°h(x) h(– 1) = 5 h'(– 1) = 8 %3D Calculate f'( 1).

A: Given that fx=x6hxh−1=5h'−1=8

Q: xe* хе dx. J (x + 1)2

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Q: Consider the graph. y 4 2 8. (a) By reading values from the given graph of f, use four rectangles…

A: As per bartleby guidelines we only give first question answers.

Q: Solve for the function f(t) of the Laplace transform. S-1 F(s) (s+1)(s²+4)

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Q: Given the function: f(x) = 47' - 8z 9x' + 8x2 + 8x - 4

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Q: d) Producers' Surplus (Round all values to the nearest integer and do NOT use commas or dollar…

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Q: -243 S sx(*)dr J ft]dt =m Find if

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Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: Medicine The graph shows the estimated number of milligrams of a pain medication M in the…

A: Given: The graph shows the estimated number of milligrams of a pain medication M in the bloodstream…

Q: A factory makes bicycle tires. The cost, C, in dollars and revenuue in dollars, R, are both…

A: Given and Basic information:R=Rn, Revenue earned by selling 'n' tiresdollarsC=Cn, total cost of…

Q: 15.lf f(x)=Vx f(x)-f(16) The lim x→16 x-16

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Our Aim is to set up the form for partial fraction decomposition given that:--12x-9x+85x-1-(i)

Q: p(x, Y, z) 4 – x2 – y²

A: Given problem:-

Q: Find the derivative of the function described. (Rx5) 3. f (x) = (1 +x + x² + x³ )'³

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Q: Flight of a Model Rocket The height (in feet) attained by a rocket t sec into flight is given by the…

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Q: 15. Apply the Mean Value Theorem to f(x) = Vx – 2x using the interval [0.4]

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Q: Find the domain of r(t) and the value of r(to). NOTE: Rownd your answer to two decimal places when…

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Q: a) Compute the area of the shaded region by "counting" the squares on the grid in the given region.…

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Q: 2 -x Evaluate lim x-2 x5 - 32 1/-60 O 1/80 O NONE OF THESE -80 O -1/80

A: The given limit,                 limx→22-xx5-32

Q: Question For the function f(x), whose graph is shown below in blue, find lim f(x). The red vertical…

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Q: IM Given that > п+1 = 0.47199 determine the value of n3 n + 1 n=3 n3 n=5

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: 10. xy' + 2y = 6x²/y

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Q: Evaluate the solution of differential equation when y(0)=1 and y'(0)=D0. d?y dy-8y 0 %3D dt? dt

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Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (9, 5)…

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Q: a) | f(x)dx = b) | f(x)dx = c) 5f(x)dx =

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Q: In R?, using vectors and angle between vectors, verify that the points P (13, –1 Q(-9,3) and R (-3,…

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Q: Consider the following equation and point. f(x) = a (3, -1) x - 4 Find an equation of the tangent…

A: First we have to calculate slope of the given function to calculate equation of tangent

Q: Find the angle 0 (where 0° < 0 < 180°) between the following vectors. Give your answer accurate to…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. | a(56…

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Q: Change the following polar coordinate points into rectangular coordinate points. Leave all answers…

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Q: State the definition of the interval of convergence of a power series. Find the radius of…

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Q: 5- 3x? Evaluate lim x-00 (2-x) (x+ 2) does not exist O NONE OF THESE -3 3 O O o O O

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Q: 30 If g(y) - (v- 11y + 18) lly + 18)*, find g'(y) = 30(v - 1ly+18) ) 29 (2y – 11)

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Q: 2 2 Write the equation in polar form: x + y = 225 %3D

A: Given,               x2+y2=225

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

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Q: Find the point that is 2/5 of the distance from C to D.

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Q: Consider the function y= >x3 – 9x + 4. a. Sketch the graph of y= x3 – 9x + 4. b. Find and describe…

A: Let's find.

Q: Flight of a Model Rocket The height (in feet) attained by a rocket t sec into flight is given by the…

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Q: 4 -2x?y = 1 r = sin(0) (b) Pick a coordinate that lies on the graph of the equation you picked from…

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Q: Consider the following. u = (-9, -6, 4), v = (6, -7, 0) %3D (a) Find the projection of u onto v. (b)…

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Q: Find the derivative of the function described. (Rx5) 3x-1 2. f (x) = 2x+4

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Q: 6. (9x-6x'+7x²-Sx+15 dx 3x

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Q: Let C = (1,–3, 2) and D = (-1, 2, – 3, ). Find the following. (a) The cosine of the angle between D…

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Q: A particle is moving with acceleration a(t) = 36t + 8. its position at time t = 0 is s(0) = 17 and…

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Plan -A: f(t)=3090000e0.03t⇒f(5)=3090000e0.03(5)⇒f(5)≈3590068

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D %3D v (0, 6) %3D b =

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Q: x² sinh x dx

A: Let's find.