Given f''(x)=−36sin(6x and f'(0)=6 and f(0)=6   Find f(π/5)=

Q: Calculate Tu, Tu, and n(u, v) for the parametrized surface at the given point. Then find the…

A: NOTE: Refresh your page if you can't see any equations. . here we have u=5 and v=9 so the point…

Q: 2. Let f(x)=√x. Find an equation of the tangent line to the graph of f at the point where x = 16 and…

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Q: 75 (B) H (C) (D) 45 (E)

A: Topic:- application of derivatives

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) J sin (2x) 6 + cos²(x) dx

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Q: 8) An investment of to 358.24 in 8 year 350 in blue chip stocks grows months. if this growth rate…

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Q: The shape below contains a rectangle and four semi-circles. Round your responses to two decimal…

A: Let's find area and perimeter of given shape.

Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: b. Given the vectors a=2i-j+2 k, b=3 i + 2 j -k, c =i+2 k i. Calculate: 2a-(b-3c) ii. Determine the…

A: "According to the guidelines issued by the company We are supposed to answer only first three…

Q: At what point (s), (x, y), on the parametric curve, does the parametric curve have a vertical…

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Q: b) (1+x) dz

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Q: Evaluate the integral. 6. (2e + 8 sin(x))dx

A: We have to evaluate the integral ∫0π 2ex + 8 sinx dx.

Q: Find the roots of (D4 + 4)y = 0 O +2i, ±2i + 2 O b. 2+2i, ti Oc1ti, - 1 ti Od-1 ti, 2+2i O e. none

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Q: Find the Maclaurin series for each function (assume that each function has a power series…

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Q: What does the alternating series test (-1)+1(2n-1) 2n say about n=1 ? The series converges. The…

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Q: Determine which of the following is the particular solution for the differential equation (D²− 2D +…

A: here given differential equation (D2-2D+4)y=16 particular solution is  P.I. =(1/(D2-2D+4))16e0x…

Q: Use partial fractions to find the indefinite integral. (use C for the constant of integration and…

A: NOTE: Refresh your page if you can't see any equations. . first, we need to take the long division

Q: Compute f(x) f'(x) f"(x) f" (1) = = = = f(iv)(x) = 1 1+x² 2x (1+x²)² f(x) = Σ k=0 (6x²-2) (x²+1) ³…

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Q: Set up and evaluate the integral for the area of the shaded region. y=11-x y=121-x² Q Set up the…

A: Let's find area by using integration.

Q: Consider the function f(x) = 4√√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

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Q: A ball of radius 15 has a round hole of radius 3 drilled through its center. Find the volume of the…

A: Given query is to find the volume of the resulting solid.

Q: Find the area of the region between the curves y = x³ and y = x² + 6x. Area between curves =

A: Given, y=x3, y=x2+6x

Q: Given the graph of f(x) and the labeled areas, 12 find 7 0 f(x)dx 12 [ f(x)dx= 0 [] A=12 B=6

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Q: 3. [sec x tan x dx = (A) sec x + C (B) tan x + C (C) (D) (E) sec² x 2 tan²x 2 +C * + C sec² x tan²x…

A: As per our guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Which of the following functions is equivalent to ƒ (x) = log4 (16x)? Hint: There are 4 correct…

A: The given function fx=log416x. We have to find the equivalent functions of fx.

Q: 2 cos² (0)=√3 c-

A: Given 2cos2( πθ ) = 3cos( πθ )let cos( πθ ) = u

Q: Question Evaluate the Integral ff (xy³ + 2xy) dA in the bounded region, D, where D is defined as D…

A: Please see the below picture for detailed solution.

Q: Find the volume of a right circular cone with height 12 and base radius 6 using integration. V =

A: Solve the following

Q: Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) = x^2. The area (rounded to two…

A: Given query is to find the area enclosed.

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. a =…

A: The given sequence is: an=7-14n To determine whether the sequence with the given nth term is…

Q: In Exercises 3-6, give any two points in the given plane. 3. 2x - 4y +7z=2

A: Question-3 . NOTE: Refresh your page if you can't see any equations. . the given plane is  here we…

Q: Evaluate the integral. 3 1₁²₁x² +2 (x² + 2x - 5) dx

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Q: (15) Determine whether each integral is convergent or divergent. Evaluate those that are convergent.…

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Q: Use a power series to represent the function f(x) Provide your answer below: CO n=0 = 3 5x + 2 I…

A: Solve the following

Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 2 3 4 5 6 7 8 9 με Graph of f 2 O -2- - 15. The graph of a…

A: Solution:f is continuous and h(x) = ∫0xf(t) dt and graph of f is given aboveFrom the graph,h(6) =…

Q: Find the roots of (D4 + 4)y = 0 a. +2i, ±2i + 2 O b. 2+2i, ti O c. 1 ti, 1+i

A: Given equation ( D4 + 4 )y  = 0for the root D4 + 4 = 0

Q: 22 of 86 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 1. If y=xsinx, then dy dx (A) sin x + cos.x (B) sin x +…

A: Since, you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: A yeast culture is growing at a rate of W' (t) = 0.3e0.11 grams per hour. Find the area between the…

A: A yeast culture is growing at a rate of W't=0.3e0.11t grams per hour. To find the area between the…

Q: g(x) = 4x +9|x| 8x - 12|x|

A: g(x)=4x+9x8x-12xx=x,    x≥0-x,  x<0

Q: Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must…

A: Please see the below picture for detailed solution.

Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

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Q: 2 0 •√√2x-x² X √3 dydx √√√x² + y²

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Q: Match the general solutions to the differential equations. ✓ (D² - 18D+81)y=0 (D²+14D+49)y=0 •…

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Q: Find the equation of the line tangent to the function at the given point. y = (-2x + 6)1/2 at (1,2)

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Q: 4. Use a linear approximation to estimate tan (47°).

A: Let's find value of tan(47°) by using linear approximation.

Q: A function h has graph 2- f(x) = n (-4, 4). If f is defined on (-4, 4) by -1, -4<x<-3, - Ma h(t) dt,…

A: Given: A function h(x) f(x)=-1   -4&lt;x&lt;-3∫-3xhtdt     -3≤x&lt;4   Note: This question can be…

Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

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Q: Use the basic integration rules to find or evaluate the integral. (Use C as the constant of…

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Q: 3D + 2)y = ex, Find -ex et -xex xex

A: We have to choose the correct option from the given options according to the given information

Q: Use a power series to represent the function f(x) = 6 5x − 4 centered at x = -4.

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