Evaluate the indefinite integral. sin (r)cos(r)da + C

Q: - 4 + e-6x - dx e4x 23)

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Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

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Q: The graph of f is shown. Apply Rolle's Theorem and find all values of c such that f(c) = 0 at some…

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Q: V x2 + 4x – 5 dy using Trigonometric Substitution find x- Consider x+2 O -2+3 sec e O 3 sec e sec e…

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Q: 1 () In solving the antiderivative of f(x) = 2 - 3sin(x) by miscellaneous substitution, the…

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Q: 2x+11 3 1 dx . evaluate Consider 3 dx = x2 + x- 6 1 dx : x+3 - X- 2 x+3 x- 2 X-2 In |x+3 +C x+3 In…

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Q: 6. S(x)= In(tanh 5"

A: As per bartleby guidelines we only give first question answers.

Q: evaluate indkfinite intersal

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Q: 1 2. (33.6) Use the building block > a", |r| < 1, to find a power series representation 1–x n=0 for…

A: Solve the following

Q: Se dt

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Q: 4) Determinė the equation of the tangent to f(x) = -x² + 3x+1 that is perpendicular to the line x+2.…

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Q: Evaluate the following limit using Taylor series. lim 2x X00 ... Rewrite the given limit using a…

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Q: Eind the volume of the solid genrated By hevolziay the region bounded by the curve the. line y-2at…

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Q: 2. Sketch the region and find the area of the region bounded by y = -x? + 9 and the x-axis.

A: The region is bounded by the curve y=-x2+9=-(x-0)2+9 and the x-axis.

Q: Using Integration By Parts, x Arcsec 3x dx = u v- |v du

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Q: Evaluate the itegral by interpreting it in terms of areas. 0. 3 + 100 - x2 ) dx -10

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

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Q: Find the area of the region bounded by the graph of f(x) = x(x - 3)(x + 1) and the x-axis on the…

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Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows:

Q: Evaluate ff, (x²z + y?z)dS where S is the part of the plane z = 4 +x+ y with positive orientation…

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Q: Find the velocity and acceleration vectors in terms of u, and ug- r= 4 cos 2t and e = 5t

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Q: Find the area bounded by the curve y = 4x - x² and y = 3. Answer:

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Q: Find the area bounded by y = x+ 4 and y = x2 - 2. Answer:

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Q: 25) (2x2 V9 + 4x3 dx

A: Answer is in below step.

Q: Sketch and determine the center, foci and vertices of th equation of x2 (y-4)2 + 36 = 1. 49

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Q: Differentiate the following and simplify: y= log, (sinhe") h(x)=3sinh(1–3x² )cosh(1– 3x² ) 1. 2.…

A: As per bartleby guidelines we only give first question answers.

Q: Describe the graph of the equation. r = 9cos ti – 19sin t j + k O An ellipse in the plane z = 1,…

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Q: Determine whether the Mean Value Theorem can be applied to f on the dosed interval [a, b). (Select…

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Q: Please answer the following questions about the function f(x) = 2/x^2-36 Local minima x =…

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Q: .4 V x2 + 4x - 5 Consider dx using Trigonometric Substitution find x- x+2 3 sec e -2 + sec 6 sec e…

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Q: Solve the equation. Write the solution set with the exact solutions. log, (3-m) + log, (-m-2) =2 If…

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Q: * tan°(x) cos“(x) 1 tan7(x) 1 tan (x) O tan7(x),

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Q: Consider the function on the interval (0, 27). f(x) = sin(x) cos(x) + 8 (a) Find the open…

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Q: 1 19 Given the SVD of matrix A = has 19 361 :) Σ what is x?

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Q: cos 2 dx O 32 -cos -5cos2 ()+7] + c 35 32 35 - cos(4)- 32 -cos) +c O 32 COS +C 스4

A: We have to find integral

Q: find the equation of the tangent and thhe to the Pollo wing cunve uhen x = 1 (2x2- Ja)2 normal .

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Q: x2 sin 2x dx 2.1

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Q: Evaluate the following limits: V10 + 6х — 2 (a) lim x→-1 x2 – 2x – 3 1 – sin(x) (b) lim x→5 (2x –…

A: Use l hospital rule for finding the limit.

Q: 32 2 f is continuous and | f(t) dt = 6, find the integral / t* f(t) dt.

A: Given problem:-

Q: Find the volume of the solid obtained by rotating the region underneath the graph of the function…

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Q: Find the area bounded by the curve y = 4x - x² and and the lines x = 0 and y = 4. %3D Answer:

A: we can find the area between the curve and the lines by integrating the curve function through lines…

Q: (1 + Зx) dx

A: We have to evaluate the integral

Q: Sxsecxtanx dk=uv- fvau -Svau- O 2x sec x - S2secx a 1 Using Integration By Parts, x sec x tan dx =…

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Q: Calculate v x w: v = (3,8, 8), w = (1,1,4) V X w =

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Q: For the following integral, answer the questions below. ets dx (a) What should be your first step in…

A: Use first substitution then use integration by part

Q: 1. Determine the absolute extrema of f(x) = (sin r – 1) cos r on 2 2 if they exist, and identify the…

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Q: -5dx 8. Evaluate. (c + 0) cx+d

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Q: Find the consumers' surplus at a price level of $8 for the price-demand equation p=D(x)=50−0.6x…

A: Given:   D(x)=50−0.6x    p = price      x = demand

Q: Suppose a sample of a certain substance decayed to 77.2% of its original amount after 300 days.…

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Q: Using Integration By Parts, Vx In 2x dx = u v - v du Find u v- ſv du O 3 xVX In 2x-|응Vx dx 2 xVx In…

A: We can solve this as follows: