A) Evaluate S x √4x² de by letting u = 4 - x²

Q: Evaluate the following integral. π/4 S 0 cos x)² dx secx+cOS X)

A: Explanation of the answer is as follows

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Q: Exercises  tell how many units and in what directions the graphsof the given equations are to be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 9. Determine the convergence of the following series using the ratio test. If the ration test is…

A: Ratio Test

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Q: A cross section of the parabolic mirror in a car headlight is y² = 32x. Where should the bulb be…

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Q: The function s(t) describes the motion of a particle along a line. s(t) = t3 − 7t2 + 6t   (a) Find…

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Q: A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people…

A: Given: n = 13 r = 6 Formula Used: Number of ways  Crn = n!r!(n-r)!

Q: (g) Differentiate g(x) = /1-². cos¹ (√) 3

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Q: Use the formula for nCr to evaluate the expression 12C5.

A: Given: the given expression n: 12C5. Formula Used: Crn = n!r!(n-r)!

Q: If the slope m of the graph of a linear function is ,the function is increasing over its domain.

A: If the slope m of the graph of a linear function is _______, the function is increasing over its…

Q: Geometry A wire of length x is bent into the shape of asquare.(a) Express the perimeter p of the…

A: Given: A wire of length x is bent into the shape of a square. (a) To express the perimeter p of the…

Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with…

Q: Use the formula for nCr to evaluate the expression 7C7.

A: Given: The given expression: 7C7. Formula Used: Crn = n!r!(n-1)!

Q: Given the differential equation: (4xy + 3y² - x) dx + x(x + 2y)dy = 0 The solution to the…

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Q: Shown below is the graph of the flow rate f(t) of a pipe, in gallons per minute. Here, t= the number…

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Q: 4. Linear Equations b. 2y(y² - x)dy = dx

A: We can solve this as follows:

Q: Question-Solution-Final Answer-Conclusion format) - Generate solution of the first-order…

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Q: Use the second derivative to find the intervals where f(x) = -10x³ +60x² is concave upward and…

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Q: find f + g, f - g, f # g, and fgfor each pair of functions. State the domain of each of these…

A: Given, fx=3x2+x+1gx=3x

Q: Use the data in Figure to find the probability that a minute of an NFL broadcast is not devoted to…

A: Given data:-

Q: Evaluate the sum 50 Σ(2 · k + 5) = k=1 50 Σ5₁(2. k+5). k=1

A:

Q: Find a unit vector in the direction in which f(x, y, z) + == Z y² increases most rapidly at P(1, 2,…

A: Given f(x,y.z)=xz+zy2,point (1,2,-2) The objective is to find the unit vector and rate of change of…

Q: Supply and Demand Suppose that the quantity supplied Sand the quantity demanded D of hot dogs at a…

A: Supply and demand is the relationship between the quantity of a commodity that producers wish to…

Q: If  f(x) = 4x2 − x3,  find  f ′(x),   f ″(x),   f ‴(x),  and  f (4)(x)

A: Topic- derivative of a function We are given, f(x) = 4x2 − x3 and we know thatddxxn=nxn-1

Q: PZ π/2 4 2 1 79 -3 -4 The graph of the function f(x) = tan x is given above for the interval a € [0,…

A: Given query is to find indicated limits and vertical asymptotes.

Q: Find the slope of the tangent line to the curve f(x) = x³ - 4x at the point where x = 0. A) 0 B) - 4…

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Q: Find an equation of the tangent line to the graph of the function f defined by the following…

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Q: Find the x-intercept(s) of the following function. f(x)=x² - 4x +3 Give your answer as ordered pairs…

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Q: Find the derivative: f(x) = (4 sin x + 8 cos x)tan -1 X

A: To find the derivative of given function.

Q: (a) J x² dx 3x + 2 x + 7 (b) 6) [ √2+1 da dx

A: Since multiple questions are asked, I am answering first question

Q: Solve by the method of your choice:Baskin-Robbins offers 31 different flavors of ice cream.One of…

A: Given: n = 31 r = 3 Formula Used: Crn = n!r!(n-r)!

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A: The given differential equation is x-ytan-1yxdx+xtan-1yxdy=0

Q: Use the geometrical series formula to evaluate the following: k=2 3 5k

A: Given :- ∑k=2∞35k

Q: A car sharing service offers a membership plan with a $30 per month fee that includes 10 hours of…

A:

Q: Find the equation of the tangent line to the graph of f(x) = √x + 100 at the point (0, 10).

A: Given query is to find the equation of the tangent.

Q: Find the limit of each of the following sequences, using L'Hopital's rule when appropriate. √n Vn+1

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Q: Let f(x) be the function 9 x² − 3 x + 4. Then the quotient a = Number and b = Number f(4+h)-f(4) h…

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Q: 2. y = -8 ln x 4. f(x) = ln(6x) 6. f(x) = ln |5x| 8. y = x¹ ln x In x 10. y 1) 2) +8 = In A - In B.

A: Solution

Q: Find the following limit. lim x-x 2+ x - 4x³-4 5 x³x²+1 Number

A: ans=  -4/5

Q: How many different four-letter passwords can be formed from the letters A, B, C, D, E, F, and G if…

A: The letters A, B, C, D, E, F, and G.

Q: II. Give the indicated derivative 1) find the 27th derivative of cos x

A:

Q: Straight-line DepreciationBook value is the value of an asset that a company uses to create its…

A: Given that  Cost of a car = $31,500 Depreciation per year = $4500

Q: Use a Riemann sum with 4 rectangles of equal width to approximate the area between y = x³ +8 and the…

A: Let's find area by using right hand Riemann sum.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² + y² lim (x, y)-(0, 0)…

A: Given:- limx,y→0,0x2+y2x2+y2+81-9

Q: 6 5 4 3 نا 2 1 ¦ y = f(x) 01 2 3 Enter each answer as a whole number or a fraction, or DNE for Does…

A: The graph of the function is To evaluate: The values of limx→3+fx-4fx+4, limx→3-ffx+4 and…

Q: Three hundred books sell for $40 each, resulting in a revenue of(300)($40) = $12,000. For each $5…

A: Given: Price per book = $40 Resulting revenue was (300)($40)=$12,000 For each $5 increase in price,…

Q: Check that the point (1, -1, 1) lies on the given surface. Then, viewing the surface as a level…

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Q: Find an equation for the tangent plane and parametric equations for the normal line to the surface…

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Q: Let f be a continuous and twice differentiable function. Let f'(3)=0 and f" (3)=2. Select all that…

A: givenf'(3)=0