| 4r* cos y dA; R = {(r, y) : 1 s r s 2, 0 sysa/2}.

Q: 11. Write true if the statement is correct and false if the statement is incorrect. Given the…

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Q: Write the sum 5 + 15 + 45+ + 1215 using sigma notation. ... a1(1 – r") - Then evaluate the sum using…

A: Solve the following

Q: What is the final answer

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Q: 1. A line passes through the points A(2, 3) and B(-2, 1). Find a vector equation of the line. [x, y]…

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Q: Use your calculator to find the area shown in RED. 8 f(x) = sec(.5x+2) + 2 tan(.5x + 2) +3 Round the…

A: The region is bounded by the curve,fx=sec.5x+2+2tan.5x+2+3 from x=0 to x=5

Q: Use the tabular method to evaluate the integral fa (x³ + 2x-1) cos(4x)dx COS

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Q: If f(x) = 2 g(x) find g'x) in terms of f'(x). O g(x) = f(x)/4 O g(x) = f(x)/2 O 'x) = f(x) - 2 O…

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Q: Find the volume of the solid of revolution when the region bounded by y = x + 1, the x – axis, and…

A: Recall: Shell method,  V=2π∫abr(x)h(x)dx We have, a=0, b=2, r(x)=3-x, h(x)=x+1

Q: The volume of the solid obtained by rotating the region enclosed by y = 30x - 6x, y = 0

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Q: Maximum Volume Consider the following solids, each of which has a surface area of 150 square inches.…

A: Solution is given below:

Q: Calculate the volume of a cylinder inclined at an angle 0 = 30° whose height is h = 9 and whose base…

A: Solved below.

Q: near First – Order Differential Equation (Integrating Factor) 1 dy x dx 2y 5. Find the general…

A: Topic:- differential equations

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

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Q: 7. Find f(x) given: 2 f" (x) = 48x 6x + 1 and f (0) = 1 and f (0) = 2 %3D

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Q: de r= 4 e ao and = 3 dt

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Q: Find dy/dx if y = log10(x² + 1)² D. dy/dx = log1o e (x² + A. dy/dx = 4x(x² + 1) 2x log10 e В. dy/dx…

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Q: The area of the region that lies to the right of the y-axis and to the left of the parabola æ = 2y –…

A: topic- Area bounded by curves

Q: Find the indefinite integral. Check your result by differentiating. 10x dx Step 1 Observe that is…

A: ∫un du =un+1n+1+C

Q: Evaluate f e 1 dx 3 x

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Q: 15. xydx + 2(x² + 2y²)dy = 0

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Q: Use the method of substitution to find the indefinite integral. Check your result by…

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Q: 4 2. y =,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n C. u. )

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: Find the indicated derivative and simplify. 2x - 4 y' for y = 2 + 8x %3D

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Q: Evaluate the given integral 1. S(sec² x + csc²x)cos²x dx

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Q: Suppose that f(z, y) – e ¯4r² - 4y² - z + 2y Then the maximum is

A: The given function is: f(x,y)=e-4x2-4y2-x+2y Here,…

Q: Find the limit. lim ---X +4 Step 1 1 x+ 4 as x approaches -4 from the left. Note that we cannot…

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Q: 31. The vertex angle of an isosceles riangle is 4020. Each of the legs measures 320 mm. Find the…

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: dx 1. Evaluate the integral -∞ 1+x² 2. Evaluate the integral •x+y So SL** (x + y+ z) dz dy dx.

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: topic- limits

Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 1. 12, 6, 18,…

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Q: x - 2x +4x–8 Draw a graph of the function R(x) = Justify all major features using limits. x -11x+18

A: To solve the following problem

Q: A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5×10° m and has an…

A:

Q: 8. If x* - 48x +1=0then, a. Provethat x - 5/2x+1=0 1 b. Find the valueof x- c. Showthat x 23030/23

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: topic - Area bounded by curves

Q: 4. A ball rolls horizontally off a cliff at 10 m/s. It takes 20 seconds for it to hit the ground.…

A: height = (1/2)gt2 +v0t  but here v0 = 0 for initial  height = (1/2)gt2 height = (1/2)(9.8)(20)2…

Q: Jse symmetry arguments or similar to find the total charge in sphere of radius Rothat has charge…

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Q: 2. y =,x = 1, x = 4, and y O is revolved about the y – axis. (Answer: 247 c. u. )

A: Given: y=4x, x=1, x=0 and y=0   The bounded region is as shown below.     Apply the cylindrical…

Q: Solve 12 sin (t) + 2 cos(t)- 8 = 0 for all solutions 0 <t < 277 t = Give your answers accurate to 2…

A: The given equation,      12sin2t+2cost-8=0

Q: 7. p =5+2/6 a. Resolve into factors: x-8(x-y) 1 b. Show that p° = 396/6 p° c. Find the value of p…

A: This question can be solved using the concept of factorization.

Q: Find the given limit. lim (-x + 2x- 1) x-5 lim (-x +2x-1) = (Simplify your answer) X-5

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Q: Find, by slicing, the volume of a cone whose height is 5 cm and whose base radius is 1 cm. Slice the…

A: The slicing cone has height 5 cm and radius 1 cm

Q: Find

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Q: L Find the point/s of intersection of each of the following figures given below, draw the element…

A: The region is bounded by the curve y=x2+2 from x=0 to x=2

Q: Evaluate the following integral. Expand the integrand and write the resulting integral. | dx (Type…

A: Given:         ∫6x2x2+9dx   Expand the integrand.      =∫6x2·x2+6x2·9dx         =∫6x4+54x2dx

Q: Find the general solution of the differential equation. (Use C for the constant of Integration.) dy…

A: