For numbers 17– 20, use the given function. (5 + 2x, x <- 6 f(x) = } x + 5, x 2– 6 17. What is the value of f( – 6)? A. - 1 5 B. C.2 D.7 2

Q: Find the interval of convergence. (x + 5)" Σ (n In(n))² n=2

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Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 lim p(x) = 0 lim q(x) = , evaluate if the…

A: A)=limx→a f(x)limx→a g(x)=00=0B)=limx→a f(x)limx→a p(x)=0∞=0C)=limx→a h(x)limx→a p(x)=1∞=1

Q: ​Recently, a certain bank offered a 10​-year CD that earns 2.48​% compounded continuously.   Use the…

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Q: -1/2 p. Find the coefficient of x" in the expansion of (1– 4x)2.

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Q: The population of a pod of bottlenose dolphins is modeled by the function A ( t) 8(2)t , where t is…

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Q: - tanf/3x* + Im(5x*) - In(5x*) y(x) = tan3x² +

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Q: Let f be the function x + 4 for x 2 Find the value of c that makes the function left-continuous.…

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Q: Compute : csc(e) d Csc evx dx CSC - Csc cot evx А. 2/x B. csc cot(evF).eF . — cSC Cot csc · cot 2 D.…

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Q: 1. Differentiate each function. Simplify as much as possible and express all answers using positive…

A: a) h(x)=x37xDifferentiateh'(x)=3x27x+x37xln(7)

Q: with the limit definition of a derivative find the derivative of g(x) = (x-1)^2 + 1

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Q: Suppose a pollutant is seeping into the ground near a dump site at the rate of 2800 f(t) : (æ +…

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Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

Q: A region bounded by f(x) = x°, y 8, and x = 0 is shown below. Find the volume of the solid formed by…

A: I am attaching image so that you understand each and every step.

Q: Find the area under the given curve over the indicated interval. y= 5: (-2, 1) The area under the…

A: We can find the area under the curve as below.

Q: 2. Determine the slope of the tangent line to the curve f (x) = sin (x)cos (x) at the point where x…

A: Slope, m = d[f(x)]/dx

Q: ) Given f'(x)=12.r -4r+8, and f (3) = 1000 find f.

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Q: Use the definition of a logarithm to find the exact solution for 4 log (2n) - 7= -11

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Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts Judv= uv- Jvdu Let…

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Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: 30 25 20 15 10 -6 -5 -3 -2 1 0 -5 1. 3 4. -10 -15 -20 Find x when f' (a) g' (x) (Note: there is only…

A: Function

Q: 1 Using the power series representation 5n with interval of convergence rE (-1,1), 1– 25 determine a…

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Q: (a) Find a power series representation for f(x) (9 + x)2 (-1)"(n+1)x" f(x) = > 9"+2 n = 0 What is…

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Q: what are 7 and 8 in standard hyperbola equation? 7) The foci are (-8, 2) and (2, 2). Vertex at (1,…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (4,…

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Q: Find f. f"(x) = x³ + sinh(x), f(0) = 4, f(2) = 5.6

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) %3D…

A: In this question we have to apply mean value theorem.

Q: given the function f (x) = px + 1, g (x) = 3x - 5 and fg (x) = 3px + q, express p in terms of q

A: Given, f (x) = px + 1, g (x) = 3x - 5 and f (g(x)) = 3px + q

Q: 1) Find the derivatives of the following. Simplify your final answers. d) l(x) = tanh-1 x + In v1 –…

A: Part d,Given,           lx=tanh-1x+ln1-x2To find : Find the derivative of the given function.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: To evalaue the given limit.limx→01+7x-1-4xx

Q: Find the angle 0 between the vectors in radians and in degrees. u = 4i + 2j + k v = 2i – 4j (a)…

A: u=4i+2j+kv=2i-4j

Q: 16j Use integral tables to evaluate, 3

A: I=32∫ 1x9x2-1 dxu=9x2-1du=18x29x2-1dxdx9x2-1=du9xHence;I=32∫ 1xdu9xx2=u2+19I=16 ∫ 9 duu2+1

Q: x sec (3x) tan (3x)dx

A: We use integrate by parts to solve the given integral.

Q: -ges 3n +n 9n b) L7-2)n+1n n! n=1 (-10)" d) 242n+1(n+1) n2 (2n – 1)! n=1 0=

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Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x= 3-2x measure.…

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Q: Use the Taylor series coefficient formula to determine the value of g(27) (0), where g(z) = (1+x² +…

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Q: Showw Fom yex)=D90Y,(x) + a, y,(x) that seris sol utron is of the hene y,cx) contains only even…

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: we know two vectors &lt;a, b, c&gt; and &lt;x, y, z&gt; are parallel if (a/x) =(b/y) =(c/z) .

Q: 2) Find all points on the graph of f (x) = 2 sin x + sin2 x at which the tangent line is horizontal.

A: Given fx=2sinx+sin2x To find points:

Q: What is the minimum point of the curve y = x2 – 6x + 4? Solution must be in detail

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Q: 2x +1 The antiderivative of f (x): %3D is (x – 3) (x – 2) - - x- 3 A F(2) = 5 ln x – 2 +C - 3 B None…

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Q: in a river and wants to know how long it will take him to get 10km up ing location. The speed of the…

A: We will find the time taken to go 10 km Upstream.

Q: Write the equation of the line show in the graph below. 4- 2 -6 -5 -4 -3 -2 -1 2 3 4 5 6 -2 -3 -4 -5…

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Q: 2, |-7- 8X-xT

A: Let's find.

Q: 3. a) Use the sum of the first 10 terms to estimate the sum of the given series. n-1 b) Improve this…

A: We have to find the sum and improve the estimates.

Q: Find all Critical points of the function : 2 f(x,y) = 4x° + 6x°y+ y° - 10y? - 48y + 18 Critical…

A: Given problem:- Find all Critical points of the function :   f(x, y) = 4x3 + 6x2 y + (2/3)y3 - 10y2…

Q: A region bounded by f(x) = V4-x² ,y= 0, and x = 0 is shown below. %D Find the volume of the solid…

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Q: 8) The vertices are (2,4) and (2,8). Foci are (2,3) and (2,9).

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: To evaluate the given limit of the function.

Q: 1.) Evaluate S3xsin ()d*

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Q: Find the equation of a Tangent line to y = 2x2 – 5x – 1 that is parallel to line x + y –

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