x³dx is equivalent to Using trigonometric substitution,

Q: A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: dP/dt= P(P − 10),

A: answer is in next step

Q: Evaluate the double integral. 7x?sin ydA; Ris the region that is bounded by y = x³, y = -x', and y =…

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Q: The absolute value of the complex number [2 + sqrt (2) + pi] +j [e- sqrt (3) + 5] O 8.88 O 11.5 O…

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Q: Consider the following. RX) = x In x², (-1, 0) (a) Find an equation of the tangent line to the graph…

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Q: A manufacturer has a steady annual demand for 15,190 cases of sugar. It costs $5 to store 1 case for…

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Q: Starting from the same point, Reden starts walking eastward at 60 cm/s while Neil starts running…

A: To find out the rate of change if distance between Reden and Neil after 2 seconds.

Q: x’D² – 2xD+ 2 y=4x

A: Using Cauchy differential equations,

Q: Suppose that in the inventory problem, the storage cost depends on the maximum inventory size,…

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Q: LI (x + 4)(x +3)dr = 74/3 Select one: O True O False

A: topic- definite integral

Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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Q: Find out whether the series given below converges or diverges. 00 Σ 5n + 8 n = 1 Choose the correct…

A: Comparison Test: Let us consider two series ∑n=1∞un,∑n=1∞vn such that un≤vn ∀n∈N Then ∑n=1∞un…

Q: Approximate 2(-1)(n+1) Σ п! n=1 Use |S – SN| < bN+1• - (Use decimal notation. Give your answer to…

A: We have to approximate  S=∑n=1∞ 2*(-1) n+1/n!      On expanding this series we get S= 2[1-1/2! +1/3!…

Q: t Attempt in Progress antity P is an exponential function of time t, such that P = 40 when t = 4 and…

A: for simplicity take P0=a Given  for t=4 , P=40 for t = 3 , P = 50

Q: Find an equation for the hyperbola that satisfies the given conditions Foci: (+5, 0), vertices: (±3,…

A: Given (5,0)=(h+c,k)    hence k = 0(-5,0)=(h-c,k)h+c=5h-c=-52h=0h=0Therefore (h,k)=(0,0)

Q: The surface area of a spherical snowball is increasing at a rate of 9 mm²/min. Find how fast the…

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Q: Let R be the region shown in the accompanying figure. Fill in the missing limits of integration. y =…

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Q: Evaluate the integral using the Integration by Parts formula with u = x, dv = cos(4x) dx. (Use…

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Q: Differentiate the following functions. Simplify and factor your answer where possible. a) f(x) = e2x…

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Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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Q: dx 2. x²V4-x?

A: Just use the trigonometrical substitution to make integral easy and then solved it.

Q: Use the graph to find the following limits and function value. a. lim f(x) x-2 b. lim f(x) x-2* to…

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Q: nd the volume of the solid generated by

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Q: For the function f(x) = 2x² – 4x, evaluate and simplify. || f(x + h) – f(x) | h

A: Given query is to find the value of expression.

Q: You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into…

A: Linear equations

Q: ||r(t) x r"(t)|| ||r'(t)||* Use the formula K(t) to find K(t). r(t) = 4 cos(7t)i+ 4 sin(7t)j + 3tk…

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Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: Find the derivative of y sinh-(13x). (Use symbolic notation and fractions where needed.)

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: The points P(-2,1), Q(-6, 4), and R(4,3) are three vertices of the parallelogram PQRS. Find the…

A: Given: Vertices of Parallelogram P(-2,1), Q(-6,4), R(4,3)

Q: Find out whether the series given below converges or diverges. 00 1 Σ 2/n + n n = 1 Choose the…

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Q: S- (1+x?) ? x*dx U sing trigonometric substitution, / 3 tan Od0 (A sect sec 9d0 (B tan20 C) None…

A: topic- indefinite integral using trigonometric substitution 1+tan2θ=sec2θ

Q: I having trouble following the part where they take the natural log of the limit and the…

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Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: A closed box with a square base is to have a volume of 3000 cm. The material for the top and bottom…

A: Given problem:- A closed box with a square base is to have a volume of 3000 cm³ The material for the…

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution . 1.

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Q: Verify Green's Theorem by evaluating both integrals y2 dx + x² dy = dA ду for the given path. C:…

A: In this question we can verify the Green's Theorem . i.e, ∫C M dx +Ndy = ∫∫R ∂N∂x-∂M∂ydA .

Q: 6) Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Find f(x) given that f'(x) = V+ x² and f(0) = 2.

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Q: 5. Two people are 50 feet apart. One of them starts walking north at a rate so that the angle shown…

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Q: Evaluate: /1-x*dx 3 A +C (B x4) 2 +C 3 3 D--(1-x*) 2 +C E None

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: For the function f (x) = xe¬*: a) Determine the coordinates of the critical point. Use exact values.…

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Q: Refer to the graph below. Find the consumer surplus for the demand function, D, when x= 20. Hint:…

A: We have to find the consumer surplus for the demand

Q: Sketch the region whose area is represented by the iterated integral. dyds un

A: Option C is correct.As lower limit in inner integration is tanx2 which you can see in the graph.if…

Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

A: topic- differential equations

Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: In 2. Determine whether the series E=1 is convergent explain why. 100

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Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

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