f(x) = In(2x + 4), 9x - k, x < -1 x>-1

Q: dy Differentiate ax by applying the chain rule repeatedly. Show work 7 y =(√x + = = 2₂2) ³² X-2

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Q: Use partial fractions to evaluate the definite integral. Use a graphing utility to verify your…

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Q: (a) arcsin sin RIT 4 3π 4 (b) cos 2 sin in-¹ (1-5-)) 17

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Q: Find ofldx and of/dy. f(x,y) = 4x4y af дх of ду || ||

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Q: Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2),…

A: Solving the problem

Q: On the grid below, a) label the axes: x, y, and z b) plot the point P(0,4,0) c) draw the vector OR =…

A: Here we show that in three dimensions given point and vector.

Q: K Evaluate the double integral over the given region. 1 (x + 1)(y + 1) SS R 1 In 5 OA. OB. In 5 In 3…

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Q: A region bounded by f(x) = 2x + 2, y = x, and x = 2 is shown below. Find the volume of the solid…

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Q: Determine whether the series 8 n=0 3 19 O D. OB. The series diverges because lim n→∞ n converges or…

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Q: ex If E(x) = x²e⁹ + In(π) O ee-1 + eº(ln(π) +e™) e²−1 + eº(ln(π) + eª) + ee−¹ e²+¹ + e²(1/ ln(π) +…

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Q: Determine whether the alternating series converges. 5 ln k k Σ( -1)*. k=3

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Q: Prove or disprove: The derivative of y = sinx+cosx COSX 3 is = dx 1 (1+sinx)(1−sinx)

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. an 11 9 13…

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Q: Find the limit. lim (x,y)-(49:49) 2 x+y #49 x + y - 49 √√x+y-7 O A. 7 OB. 0 O C. 14 OD. There is no…

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Q: Determine the vector, parametric, and symmetric equations of the line passing

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Q: 3. Differentiate sin a 1+cos z with respect to x and hence, find S -dx 1+cos a

A: We need to first differentiate then solve integration.

Q: Q1 Suppose g(2) = 3 and g'(2) = = -2. then find the following. 1) If f(x) = (x² + 3)g(x) + g(2) find…

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Q: the second image is not loading?

A: Here we will use the ratio test for convergence of series

Q: 6. Determine the equation of the tangent to y = xe* + e* +1 at x = 1.

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Q: For what values of x does the series converge conditionally? Σ n=1 (x+10) √n

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Q: 29. Σ( H = -4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (b) Describe the relationship between each pair of planes, and determine any intersection: (i)…

A: (i)Here we have given a equations of pair of plane.Now, comparing their coefficients and constants…

Q: Find the area of the region in the first quadrant bounded above by y = √x + 2 and below by y = x.…

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Q: Evaluate the double integral over the given region. SS R 1 (x + 1)(y + 1) A. In 7 In 8 B. 8 In 7 O…

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Q: Verify that Rolle's Theorem can be applied to the function ƒ (x) = x³ – 11x² + 38x − 40 on the…

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Q: Show each step as you work through these problems. Question 1 Solve: tan() = 4 for 0° < x < 360°.…

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Q: TT. J V lim_x²e-5x x→∞

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Q: lim t→0 4t² + 3t sin t +2

A: To evaluate the following limit.

Q: For what values of x does the series converge conditionally? (x - 2)n √n n=1

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Q: |f''(x)| [1+ (f'(x)) 2] 3³/² function of the curve y = -9 sinx, 0≤x≤2. Then graph f(x) together with…

A: The function is

Q: 4) Find дz Əs when r = 2 and s = 0, if: z = 2x²y = x + y x = 1+s y = ers

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Q: 3 y=-andy=1 8 7 4

A: For horizontal asymptotes then compare the both numerator and denominator

Q: 3. Evaluate fxd4, where D is the region bounded above by the line y = x and below by the circle D x²…

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Q: (a) Find the center and radius of the sphere defined by x² + y² +2²-8x + 2y + 8 = 0. (b) Find the…

A: A sphere is object that is 3-D analogue to a 2-D circle. If its center at the point (a, b, c) and…

Q: In Exercises 23-38, either use the formula for the sum of a geometric series to find the sum, or…

A: The given series is? 1+1/6+1/62+1/63+...Find the sum and the series is converges or diverges.

Q: 1) Find: lim x→ 4 x² - 16

A: We are required to find:

Q: Evaluate the integral. (Use C for the constant of integration.) 25dx 25 + ex

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Q: Find an equation for the circle of curvature of the curve r(t) = 7t i + sin(5t) j at the point 5 y =…

A: Solving the problem

Q: y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤ π

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Q: Assume that the recursively defined sequence converges and find its limit. a₁ = 1, an+1 = 6 1+ an…

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Q: 6. Given D(4, 0, 9), E(3, 7, -8), and F(-2, -5, 5), determine a) DF b) DE+EF (exact value)

A: Here we have given coordinates of points .Note 1:The coordinates of the two points in order to write…

Q: Evaluate the integral. (Use C for the constant of integration.) 5 dx 49x² - 1 √x².

A: The given integral is:

Q: Find T, N, and K for the plane curve r(t)=(8cost+ 8t sin t)i + (8sin t-8t cos t)j, t> 0.

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Q: Determine whether the series O A. Select the correct choice below and, if necessary, fill in the…

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Q: Jsin(x)cos(x² + 7)dx 2 2

A: Solving the problem

Q: Find the local maximum and minimum values of the function ƒ (x) = −x Second Derivative Test.…

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Q: Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from…

A: First find the limit of x, y and z then integrate to get the volume.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: 1. Find the rectangular coordinates of the points whose polar coordinates are given. (a) (6, π/6)…

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Q: 4. Express the given equations in polar coordinates (a) x=3 (b) x² + y² = 7 (c) x² + y² +6y=0 (d)…

A: As per the guidelines I am supposed to answer only first three subparts. Please repost the other…