Find the area of the portion of the sphere of radius 4 (centered at the origin) that is in the cone z > √√√x² + y².

Q: Evaluate the following integral given that 5.° Answer: 1° e е _-1² dr and a = 9.1. Round your…

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Q: Identify the definite integral that computes the volume of the solid generated by revolving the…

A: Region is bounded by y=x3 and the line y=x, between x=0 and x=1Rotating the region about y-axis

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Q: fx = a(0-sin0) and y = a(1- cos 0), find d and d²y/dx².

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Q: 7x⁹ (x10 - 3) 5 a) This can be transformed into a basic integral by letting Consider the indefinite…

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Q: A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held…

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Q: 4 x-2 √2 x²-4x+3 dx

A: I=∫24x−2x2−4x+3dxSubstitute x2−4x+3=u

Q: Given f(x,y): fzx(x, y) = fry(x, y) = -5x5 + 6xy³ + y², find

A: Given,

Q: Determine each feature of the graph of the given function. f(x) Y = Answer Attempt 1 out of 2 −5x² +…

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Q: If f(x)=∫x3−1t2dt then f'(x)=

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Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 6. Find values for F(1) and F(7) 2 3 2…

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Q: -3 If A = [¯ 1¹ ²], B = [~ 3³ 2], and C = =[2], find 4 21 A²+ BC.

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Q: Part A Newer Material - 1. (a) Convert (x, y) = (1, 1), (x, y) = (-3,-3), and (x, y) = (-2,3) into…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: [1 Find the inverse of the matrix C = 0 12 operations. Show all your work. 0 1] 1 1 4. 1 using row

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 8x², x = 2, x = 3 and y…

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Q: Solve the given linear system using inverses. 31x1=491] 5 3

A: we have given system of equations

Q: TU x² So √x²+4 dx

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Q: Find all y-intercepts of the following function. Express your answer as a coordinate point in…

A: To find all -intercepts of the following function.

Q: A (B (0 A B O The figure above shows the graph of f', the derivative of the function f. At which of…

A: The figure above shows the graph of , the derivative of the function .To determine at which of the…

Q: Write the expression as a sum and/or difference of logarithms. Express powers as factors. In…

A: Explaination of the answer is as follows

Q: As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is…

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Q: Find the equation for the tangent plane to the surface 9x² + 8y² - z = 0 at the point (2,1,44)

A: Consider the surface

Q: Consider f(x) = (x + c cx² +5 for x < 3, for x ≥ 3 For what value of the constant c is f continuous…

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Q: Let f be the decreasing function defined by f(x) = -x³ - 6x² – 12x + 8, where ƒ(4) = −8. If g is th…

A: Given that f be the decreasing function defined by,  where If g is the inverse function of the…

Q: JS (52 (5x + 2y)dA where R is the parallelogram with vertices (0,0), (-3,-1), (-5,2), and (-8,1). R…

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Q: Use linear approximation, i.e. the tangent line, to approximate √49.3 as follows: Let f(x)=√x. Find…

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Q: 9 Consider the function f(x) = 6x⁹ + 6x7 - 7x² - 4. Enter an antiderivative of f (x). Do not enter…

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Q: Evaluate ff ex²+y² dxdy R= {(1,0): 0< r ≤ 4, 0≤0 ≤ 2} ffer 86

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Q: Determine whether →F(x,y,z)=3x^2yˆi−yzˆj+zx^2ˆk is a conservative vector field.     Component of…

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Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

A: By using the given formula, To find the distance from the point to the given line.

Q: Consider the two functions y₁=x²-3 and y2 = b on the interval [-a, a], if a = 11.3. What value does…

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Q: 25. f(x) = 2x³/5 - x6/5; c= 0.

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Q: 3a If f(x) is continuous and fa f(x)dx = 161.4, what is Sºf Round your answer to two decimal places.…

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Q: - Find a polynomial function of degree 4 with the zeros – 1 (multiplicity 2) and 1 (multiplicity 2),…

A: A polynomial has zeros of multiplicity  and  of multiplicity  and the graph passes through the…

Q: Approximate the area under the curve graphed below from x = approximation with 5 subdivisions. w 2 7…

A: We are given a graph of function .We have to approximate the area from left endpoint of interval…

Q: Please ssolve and show all steps. please explain why and how to use partial fraction decomposition…

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Q: Suppose that y = f(x) is a differentiable functio for which the following information is known: f(1)…

A: According to our bartleby expert guidelines only first three subparts are to be answered kindly…

Q: π Find the surface area of revolution about the x-axis of y= 7 sin (2x) over the interval 0 ≤ x ≤ 2

A: To find the surface area of revolution about the -axis of over the interval

Q: Use the remainder theorem to find the remainder when f(x) is divided by x + 3. Then use the factor…

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

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Q: 8. 3 [_₁₁ x (x² + 1)²³ dx -1

A: To evaluate the following integral.

Q: 39. A car traveling at 60 mph decelerates at 20 feet per second per second. (a) How long does it…

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Q: Perform the integration indicated. '1 x dx x² + 1 I'v

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Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

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Q: The general solution of the equation y''− 2y ' + y = 0 is given by y(x) = Cex . true or false ?

A: y''− 2y ' + y = 0

Q: 1/2 Evaluate csc лt cotët dt [ 1/6

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Q: fax or curi F, upwards 52. Let F= (yz²+z cos(xz), az2² - 3z³, x cos(xz) - 9yz² + 2xyz). Find the…

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Q: The temperature at point (x, y, z) on the sphere x² + y² + z² = 4 is given by T(x, y, z) = 100xyz².…

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Q: Find the arclength of y = 3x³/2 on 2 ≤ x ≤ 4

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Q: Evaluate 1dx using Simpson's rule with N = 4 1+x3

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