Evaluate the integral S 2 sin¯1(x/4)) ² dx √16-x²

Q: Find f ◦ g and g ◦ f, and their domains. f(x) = √x − 4, g(x) = x^2

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Q: eccentricity 3 and foci (0,+2)

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Q: SC₁ F. dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = (y cos(y), x…

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Q: Calculate = /F F. dr, where F(x, y) = (x² + y, 5x - y) and C is the positively oriented boundary…

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Q: Evaluate the integral (sin¯¹(x/2))²d> √√4-x² 2 | (si (sin-1(x/2))²dx √√4-x² 2 S

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Q: If f is continuous and 0 4 f(x) dx = 18, evaluate 2 [² f(2x) dx.

A: Let's evaluate given integration.

Q: Find the exact signed area under the curve f(x) = x^2 −1 on the interval [−1,1].

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Q: Find f'(x) if f(x) = = (2 sin³ x + 7) (lnx + 1) 5r3+4

A: Solution to find the derivative for the given function is as follow .

Q: Click the best answer -1 -0.5 5 4 y = (x² + 1)² 24 0 0 0.5 1.5

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 9;…

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Q: = Suppose that in a memory experiment the rate of memorizing is given by M'(t): -0.006t² + 0.5t,…

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Q: 5.5 2 dh 16 | s = $ dt

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Q: 3. Evaluate the limit: lim(x²-3x + 1) x→3

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Q: ind / ( 2² +42 +5) de dx + C

A: To find ∫2x5+4x+5 dx.

Q: + -12 + -8 -4 0.94 0.7 0.3 -0.1+ -0.5 -0.9 - y = 4 2x 2 X + 2 8 10 X

A: Here, we have given a shaded area under the curve now we have to find out the area of that region.…

Q: What can be concluded when integral test is applied to the following series? 8 Σ n=8 1 (n-7)² None…

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Q: - Drug pharmacokinetics A patient takes 150 mg of a drug at the same time every day. Just before…

A: we need to find the quantity of drug.

Q: Suppose that sin(a) = 4/7 and cos(b) =4/8 define in the first quadrant, determine tan(a+b). (round…

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Q: Find the Laplace transform of the following functions. 10. f(t) = sinh t-t² cos5t t

A: Given function:- ft=1tsinht-t2cos5t

Q: Given: z = x² + xy¹, x = uv² + w³, y = u + vew Find дz dv when u = 3, v = -2, w=0

A: Given that z=x2+xy4, x=uv2+w3, y=u+vew We have to find the value of ∂z∂v, when u=-3, v=-2, w=0.

Q: Find an equation of the tangent line at the given value of x. y = S ²² y = sin 8t + ,x=0

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Q: 3. Determine the intervals on which the function is concave up or concove down. Identify any…

A: To determine the intervals of concavity of given function

Q: Find parametric equations for the rectangular equation. 33) y = 4x - 5

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Q: y=(1+x²)(2+x²) -1 0 D-

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Q: Which of the following is true? Select one: The series En=1 diverges by the Test for Divergence. O…

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Q: Consider the function f(x) whose second derivative is f''(x) = 7x + 7 sin(x). If f(0) = 4 and ƒ'(0)…

A: Given: f''(x)=7x+7sin(x), f(0)=4 and f'(0)=3

Q: Given the pattern -36, 12, -4,... (a) Write an explicit formula for the pattern. (b) Write a…

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Q: A thermometer inside a room reads 22°C. The thermometer is relocated outside the room. After one…

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Q: Estimate the area under the graph of f(x) rectangles and right endpoints. Rn = = Repeat the…

A: Area under the curve is given by= ∫161x+4dx we have given n=10

Q: For f(x) = *(r² - 5t + 7) dt, compute ƒ'(x). 0 X

A: given function f(x) = ∫0xt2-5t+7dt          then we have to find f'(x)now ,f(x) =…

Q: 9. What is the average rate of change of f(x) from x₁ = -9.8 to x2 = 0.7? Please write your answer…

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Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

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Q: Show that 2x² + 3x - 5 11x7 ƒ (x) = { is continuous and differentiable at x = 11. x 11

A: Concept If f( x ) is continuous at x = a then limx→a-f( x ) =limx→af( x ) = limx→a+f( x )

Q: Determine the form of particular solution for the following differ (D²+1)y=x²+1 Oy =Ax² + Bx + C P…

A: given differential equation is :-D2+1y = x2+1then we have to determine the form of particular…

Q: - 1 Find ²¹ dz x² +C

A: As we know that, The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And use…

Q: Use the graph to list f(x)dx, f(x)dx, and frosdx;ff'fox 10 fre f(x)dx in order from smallest to…

A: Use the graph to list ∫01f(x)dx, ∫02f(x)dx and ∫03f(x)dx

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

A: Given query is to find the rate ate which volume is decreasing.

Q: Number of equal real root(s) Number of unequal/unique real root(s) Number of imaginary roots Number…

A: we need to find out the number of equal roots, number of unique roots, etc.

Q: Your company produces computers each month. In a given month, the company has fixed costs of…

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Q: Make the indicated substitution for an unspecified function f(x). u=sin(x) for for 1/2 [² 7/2 1/2 […

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Q: Find the area of the region enclosed by the curves between their intersections. 2-3 y = x² and y=…

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Q: Evaluate the integral 9 3 dx x(In x)5 || 9 3 dx x( In x)5

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Q: Evaluate the integral|x³√x² √x³√x²-8dx 3 2

A: We need to evaluate ∫ x3x2-8dx. So,                  ∫ x3x2-8dxLet u=x2-8.=∫u2+8u2du=∫ u4+8u2du=∫…

Q: Consider the function f(x) = 7 6 1-9 3 x7 of f(x) with F(1) = 0. Let F(x) be the antiderivative Then…

A: The given function fx=7x3-6x7. We have to find the antiderivative function Fx.

Q: An ink program for a printer has two different options: • Option A: $4.00 per month with a $0.04 per…

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Q: The relative rate of change of a differentiable function. is given by y = f(x) 100 f'(x) of f(x) -%…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=20

Q: Evaluate 2x²4 xy dydx

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Q: Which of the following statement is true for the alternating series below? 8 Σ(-1). n=0 n5+1 The…

A: Solution: Given data, ∑n=0∞(-1)n 1n5+1

Q: What can you say is true if f" > 0 ? Select all answers that apply. O f' is positive O f' is…

A: we need to write down the correct options.

Q: Suppose that tan0 COS tan Ꮎ = = 0 333 and 0 Find the exact values of cos and tan 2 π 元|2 <0<T. 02 .…

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