Area under the curve y2 = 4x from x=1 to x=4

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: 2. Find the volume of solid generated by revolving the area bounded by x=y²+2 , x=0 and y=2 sbout:…

A: Solution is here

Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

A: topic- derivative and integral

Q: how to find break even point of the profit function p(x)=-55-6x+0.2x2

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Q: The function s(t) describes the motion of a particle along a line. s(t) = -14t+ 21 %3D (a) Find the…

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Q: Find dy If y=1-t and x2 dx

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: 1+ VT (20) Evaluate the integral: -dx. (01) I 1:6

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Q: 9) y = e4x² + x A) dy dx 8xe2x + 1 B) dy - 8xex2 dx %3D + 1 C) dy dy - 8xe4x2 dx — 8хе + 1 %D D) + 1

A: We have to find

Q: MY NOTE A projectile is shot upward from the surface of Earth with an Initial velocity of 140 meters…

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Q: Find the differential dy of the glven function. (Use "dx" for dx.) y = 3Vx + dy = Submit Answer

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Q: Use the alternative form of the dertvative to find the dertvative at x = c (If it exists). (If the…

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Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

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Q: Find the particular solution of the differentlal equation that satisfles the Initlal condition(s).…

A: First integrate and satisfied given condition

Q: Find the volume of solid generated by revolving te area enclosed by : x=y²+1, x=0,y=0 and y=2 about:

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Q: 9) Evaluate || sin (y') dA , R: the region bounded by y=Vx, y=2 R & x=0. Š įysinx'dxdy ans:-(cosl-1)…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 8. Find the inverse function of: f(x) =- 64

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Q: (23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a…

A: Use volume of right circular cone and differentiate it

Q: Solve each of the following problems completely. Draw the complete figures for each question.

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Q: 1 -2 Inx x-1 X lim, 'x→1

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Q: 3. If A is a vector representing 50 km/h northeast, what is 3 A ? c. 30 km/h northwest d. 30 km/h…

A: Given problem:- If A is a vector representing 50 km/h northeast, what is (3/5)A ? a. 30 km/h…

Q: 1. Using proof by contradiction, prove Let n be an integer. If n' is even, then n is even.

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Q: Change the following polar equation to rectangular form. Show work. 14. r = 3+sine

A: Explained below

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: topic- slope of the tangent line at given value of x

Q: Find the Rlemann sum for f(x) = x +3x over the Interval [0, 8] (see figure), where %3D X, = 0, x, =…

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Q: A population of 45 foxes in a wildlife preserve quadruples in size every 15 years. The function…

A: We have to calculate  value of y

Q: Supply the missing integrand and the limits of integration -2 x dx dy _dy V4 + x2 I V4+x=dy В -2)dy…

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Q: 8 What is the range of y=4sin A [-2,6] B [-6, -2] © [-6, 2] D [2, 6]

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Q: Inx Evaluate the integral (show clear work!): S dx

A: SOLUTION-

Q: Determine whether the Mean Value Theorem can be applied tof on the closed interval [a, b]. (Select…

A: Given function  f(x) = x /(x - 25)          Let's check mean value theorem.

Q: A manufacturer needs to make a cylindrical can that will hold 1.5 liters of liquid. Determine the…

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Q: lim -- Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: lim --) x→0+ \x ex-1, 1 lim…

A: The given limits can be calculated using L-Hospital's rule if they come in indeterminate form.

Q: Test whether the differential equations are exact and solve those that are. I- y = %3D 2yt+1 -2xy…

A: Given

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L 8 -Prove that lim…

A: Given a function: fx=8x-7x-1To write down the definition that limx→a fx=LTo prove that limx→5…

Q: x + y - 18x + 10y+ 90 = 0 is the equation of a circle with center (h, k) and radius r for: h = and.…

A: topic- center and radius of circle general equation of circle with center (h,k) and radius…

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A: Given a function f(x) = 8/(x-7) (x-1)

Q: Find the constant a such that the function Is continuous on the entire real Iine. 7sin x If x <0…

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Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use m or-m, enter INFINITY…

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Q: 3. Given that f(x) = x³ + px? + qx – 3 is exactly divisible by (x – 1) and leaves a remainder of 3…

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Q: (31) Use Newton's Method to make the second approximation x2 to the solution of 2e = ex. Take x1 =…

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Q: даду

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Q: Let f(x)=x+2 A Find the linear approximation of f at =7 In other words, find the tangent line to the…

A: This question can be solved using the concept of linear approximation of a function about a point.

Q: The amount of chemical that will dissolve in a solution increases exponentially as the temperature…

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Q: fin the area bounded by y=x^3+1 and y=x+1

A: topic - area bounded by curves

Q: Find the function value. If the result is irrational, round your Let f(x) = . Find f(2). 3 O A. 5 9…

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Q: 2. xy -(xy? cot Cans ☆ +y?)

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Q: Evaluate the limit, using L'Hopital's Rule if necessary. In x lim

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Q: 1 lim x COS X

A: See this solution in below

Q: by the ea vation 2xy +X=Y". XP |3D

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Q: 1. Determine whether the series En=1 2n4+1 is convergent and explain why.

A: We have to find the convergent As per guideline we have to solve one question Please repost other…