TT Let R be the region bounded by the graphs of y=2sin(x) and y=2cos(x) from 0 to 4 The base of the solid is the region R. Cross section taken perpendicular to the x axis are equilateral triangles. Which of the following represents the volume of the solid?

Q: Combine the integrals into one integral, then evaluate the integral. 5 la-sa-fa-sa (7x-2) dx +6J (x…

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. S² dt

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Q: K Evaluate the following integral. X 2 X 2 x +3 +3 dx dx =

A: The given integral is x/(x2+3).

Q: 7. The area bounded by y = 2, y = -x², x = 1 and x = 2 equals A. 144 C. 3 B. D. 17 6 19 6

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Q: Find the area of the region bounded by: p2 = 72 cos 2

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Q: Find the area between the graph of f(t) = -2t for 0 ≤ t ≤ 4 and the t-axis using areas of triangles.…

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Q: Find all vectors u that satisfy the equation (1,1,1) xu= (9,-5,-4) BEBE Select the correct choice…

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Q: Given the sequence an n>1 = n²-1 n+3 ' (a) List the first 5 terms of this sequence. Give exact…

A: The given sequence .The aim is to find the following values,(a) First five terms.(b) The value of…

Q: A landscape architect would like to design a rectangular flower garden with an area of 128 square…

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Q: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

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Q: Is the series ∑(1/(n + (1/n))), from n = 1 to infinity, comparable to the series ∑(1/(2n)), and can…

A: Solution is following in explanation step.

Q: Given the following graph of the function y = f(x) and n = 6, answer the following questions about…

A: We have given a graph of function y=f(x).We have to use the Trapezoidal Rule and Simpson's Rule to…

Q: Is the series ∑(1/(n + (1/n))), from n = 1 to infinity, comparable to the series ∑(1/(2n)) using…

A: Solution is following in explanation step.

Q: Using the function f(x)=cos(x), on the interval: 0 (less than or equal to) x (less than or equal to)…

A: The objective of this question is to calculate the Riemann sum of the function f(x) = cos(x) over…

Q: 256x The volume of a sphere is increasing at a rate of 3 cm³/sec. Find the rate of change of its…

A: The expression for the surface area of the sphere is:Where r is the radius of the sphere.The…

Q: Use the integral convergence or Check all the conditions. 80 10 112 test to or divergence of the

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Q: d) Write an expression that represents the approximate value of g(x) for a generic value x in the…

A: The graph of the function g'(x) is shown as,

Q: x = 3 sin(t), y = 4 cos(t), 0 < t < 2π (a) Eliminate the parameter to find a Cartesian equation of…

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Q: Which of the functions shown below is differentiable at x = 0? Select the correct answer below: -

A: The function is not differentiable at x=aif the function is undefined(Hole or vertical asymptote) at…

Q: At time t, in hours, a lake is covered with ice of thickness y cm, where y = 0.3t¹.7. 1. How fast is…

A: y=0.3 t1.7

Q: Find the exact value of the integral using formulas from geometry. (3 (3+x)dx a) Write which…

A: We have to find the exact value of integral using formula from geometry.Given integral Here…

Q: Use the integral test to determine the Convergence or divergence of the series. Check all the…

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Q: A calculator may be used on the following questions. The base of a solid is bounded by y = tan²x and…

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Q: (BC Topic) Which of the following integrals gives the arc length of the graph of f(x) = cos2x + 5…

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Q: A retail business owner wants to build two adjacent retail stores on a rectangular plot of land. The…

A: The figure

Q: Find the derivative of  f(x)=X4.23x

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Write the integral as the sum of the integral of an odd function and the integral of an even…

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Q: y = ln=+e√x X

A: The given equation

Q: Evaluate the following limit. lim x⇒0 6x - sin(6x) x3 Type only your final answer in the blank, eg,…

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Q: 2x² + 5x = x + 4y

A: 2x2+5x=x+4y

Q: Describe the given set with a single equation or with a pair of equations. The plane through the…

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Q: If f (x) = -x, what is f'(2)? Type an exact answer. Provide your answer below: f'(2) =

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Q: sinh(x) = 314

A: sinh⁡(x)=34sinh⁡x=12(ex−e−x)

Q: Consider the graph of the function f below. What is the sign of the slope m of the tangent line at x…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WO FOR BETTER…

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Q: Consider the marginal cost function C'(x) = 0.12x² - 2x + 140. a. Find the additional cost incurred…

A: Consider the marginal cost function .(a) To find the additional cost incurred in dollars when…

Q: Find the area of the part of the plane with vector equation r(u, v) = (6 + v, u - 5v, 9-4u + v) that…

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Q: Problems 1-10, multiple choice. 1. What is the average value of y = e* on the interval [2, 7] ? A.…

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Q: Which of the functions shown below is differentiable at x = -3? Select the correct answer below:

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Q: 1. Find the area bounded by x = y²; x = −2y² +3

A: To find the area bounded by

Q: 2. f(x) = = 1 1+72) [0,4], n = 4 , 1+x²¹

A: The given curve .The aim is to find the area under the curve using right-hand approximation in the…

Q: Find the exact values of the following expressions. sin (630°) and cos (630°)

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Q: 1 C 4 3 2 7 a To find the blue shaded area above, we would calculate: b f(x)dx = area Where: a = 1 2…

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Q: Write the given expression in an expanded form. Assume that variables represent positive numbers.…

A: Let

Q: Find an antiderivative F(x) with F'(x) = f(x) = 6e² and F(0) = 4.

A: F′(x)=f(x)=6e2x and F(0)=4

Q: Determine the integral by making the appropriate substitution. 1 x In 7x²

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Q: 500 feet of fencing is to be used to enclose a rectangular field.  The field is situated along a…

A: We need to find out the dimensions that will give the largest area.

Q: Evaluate the following indefinite integral. S dt 16-48

A: we need to find out the indefinite integral.

Q: Find f such that f'(x) = 9 √x f(9) = 59.

A: f′(x)=9x,f(9)=59