If a is an integer, then the function s is not continuous at point a. Explain.

Q: Question Find a power series for f(x) Provide your answer below: = -16 X 1 - + 8 x + 1 centered at…

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: Find the parametric equation for the line that tangent to the given curve at the given parameter…

Q: Differentiate the functions in Exercises 11-20 using one or more of the differentiation rules…

A: Derivative of function

Q: Use linear approximation, i.e. the tangent line, to approximate 8.4 as follows: Let f(x)=√x. The…

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Q: Find the point, P, at which the line intersects the plane. x = -2 -2t, y = −4 − 7t, z = − 7 – 10t;…

A: First satisfied parametric points on equation and find value of t then put value in x,y, and z that…

Q: D is a region in the 2nd quadrant that is inside a circle with equation x² + y² = 16 and outside the…

A: The given region is bounded by the equations x2+y2=16 and x2+y-22=4 in second quadrant as shown…

Q: f (x) (A) B = (D x² x- Let f be the function defined above. Which of the following statements about…

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Q: For the given function f (x,y) = ln (x³ + xy²), find f (1,1)

A: for fx  means derivative of f(x,y) with respect to x treat y as constant     ∂xn∂x=nxn-1…

Q: For y = f(x) = 5x - 6, x= 3, and Ax=2 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

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Q: Test the series below for convergence using the Root Test. n=1 ( f(n) 7n 5n + 2 The limit of the…

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Q: Suppose that f(x, y) = −x + y², x = u² + v³, and y = 2u - 3v. Compute when u = 1 and v1. af du

A: Solution- given f(x, y)=-x+y2 x=u2+v3 & y=2u-3v put value of x & y in the given function…

Q: Find the derivative of f(x)=e−7x⋅sin

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Q: 14) Let f be a differentiable function over the reals with selected values given in the table to the…

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Q: Use an appropriate test to determine whether the following series converges. Σ k=1 A 5k esk

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Q: Use the linearization of the function ƒ(x) = x²/³ at x = 8 to approximate 7.72/3 Enter your…

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Q: Given the equation y = 4 sin The amplitude is: 4 The period is: The horizontal shift is: The midline…

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Q: Solve the equation. √x-7-5-√√x+8

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Q: Consider these tables of cell means. Which one shows a possible interaction, and which one does not…

A: The given table is: Table 1   B1 B2 A1 10 15 A2 20 25 Table 2   B1 B2 A1 10 25 A2…

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

A: As we know the expression for the volume of the sphere is: V=43πr3 Where r is the radius of the…

Q: 2π 3π Set up but do not evaluate the integral ff f(r, 0) dA over the region R = 25 ≤ 0 ≤ 37 } ₁ (r,…

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Q: Find the interval of convergence for the series found by integrating the series represented by the…

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Q: Let f(x) = 5x². a) Find the linearization L(x) of f at a = 2. b) Use the linearization to…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: graph of f(x) is shown below. Find the graph of f'(x). HI -6-5-4-3-2- 5 -2 I N I T m A 10 16 1 Im 14…

A: Given query is to find the graph of derivative.

Q: 8: Find the relative extrema of the function f(x) = e(2³-3²).

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 50. Find parametric equations of the tangent line at the point (-2, 2, 4) to the curve of…

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Q: 700 For the demand function q = D(x) = find the following. X a) The elasticity b) The elasticity at…

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Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A: △C=C(x+∆x)-C(x)△C=C(90+1)-C(90)△C=C(91)-C(90)   for x = 90 for x = 91 △C=C(91)-C(90)=167.41 -…

Q: The graph of a rational function f(x) = = n(x) is shown below. To view other parts of the graph,…

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Q: DIFFERENTIATE USING DERIVATIVE OF ALGEBRAIC EXPRESSION 4 1 y² = y² = 4x - xy 3 (x³ +4x) +1

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Q: The graph of the derivative f' of a function f is shown. y = f'(x) निए 0 2 4 6 y X (a) On what…

A: Graph of the derivative function is given We have to find the interval is f(x) is increasing and…

Q: B. x² + 3xy-5y² = 5 at (2, 1) C. xy² + y = 14 at (3,2)

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Q: Given the demand function D(p) = √375 – 2p, Find the Elasticity of Demand at a price of $165 6.708…

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Q: The position vector for a particle moving on a helix is c(t) = (4 cos(t), 4 sin(t), t²). (a) Find…

A: NOTE: Refresh your page if you can't see any equations. . the given value of t is

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

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Q: QUESTION 1 Let f (x,y) = (x²+2y) 3 be a given function. Find f (x,y) at the point (1,2) xy 120 100…

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Q: Evaluate e fff e√x² + y² +2²dV where R is inside the sphere x² + y² + z² = 9 in the first octant R

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Q: Express the region D = {(x, y)| 4x² + 4y² ≤ 28} in polar coordinates. Sorry, that's incorrect. Try…

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Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

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Q: Let D be the region bounded by the y-axis and x = √1-y². Express D in polar coordinates. Provide…

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Q: Use the simplex method. Minimize g = 11x + 9y + 12z subject to x  +  y  +  z  ≥  3      y  +  2z…

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Q: Use a calculator to find the length of the curve correct to four decimal places. If necessary, graph…

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

A: The function is given by fx = x2-2x-8 To evaluate: the x-intercepts of the function fx and the value…

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

A: let I=    limt→2t2-8t3-3t+72 put  t=2

Q: The half-life of phosphorus-32 is approximately 24.3 days. Step 1 of 3: Determine a so that A(t) =…

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Q: Given the following graph of r = 2 cos theta, please show what values of theta are at (2,0), (1,1),…

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Q: Identify the vertex by writing the equation in the standard form of a quadratic function. p(x)=…

A: The equation is p(x)=47x2+5

Q: Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2-6x+9? отг А 0 В С D…

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Q: Evaluate 1 (w - 3)4 √₁₂ dw.

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Q: A speck of dust on the tip of a second hand on a clock travels 151 cm in 90. s. What is the length…

A: Let the length of the second hand be l