1/2 x3 dx 1- V3 - 15 15 2 16 Option 1 Option 2 1 15 V15 16 8. Option 3 UOption 4 IN

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: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: sint+ cos i+ cost- sint i+ cost- sint 1 i, and K= cost- sint For the space curve below, T = ,N =…

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Q: 2 Findd eigenualy gse for -57 OA- to 17 -7 L-4 26

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Q: Find the area between the curves. x= - 5, x = 3, y = 2x2 + 12. y = 0 The area between the curves is…

A: Given :y=2x2+12x=-5 to x=3

Q: Evaluate the integral 5*dx |(Type an exact answer.)

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Q: S. 14 V1 + 7x dx

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Q: Find the value or values of x for which the given function has a maximum or a minimum value. (Use…

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Q: y = , x = 1, x = 4, and y = 0 is revolved about the y – axis. (Answer: 247 c. u.

A: Recall: Shell Method  V=2π∫abr(y)h(y)dy We have, r(y)=y, h(y)=4y, a=1, b=4

Q: a) Prove that, the characteristic of an integral domain R is either zero or a prime number. b) Let G…

A: Please follow the next step.

Q: Suppose that f(x, y) = x' + y – 2xy Then the minimum is

A: Solution is given below:

Q: dy Given the equation below, find de 1722 + 8x8y + y° = 26 dy dx Now, find the equation of the…

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Q: Activity 1. Determine the antiderivatives of the following functions. 1. f(1) = (1+1)100 2. f(x) =…

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Q: 35. A Baguio City road is inclined 20 to the horizontal. If a man jogs 500 m along this road, how…

A: We have to solve 35 & 36.This will solved by the help of trigonometric value.

Q: (a) Use the trapezoidal rule to approximate the integral. | (4x° + 4) dx = - 1 (Round the final…

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Q: Solve cos (w) - 6 sin(w) for all solutions 0 < w < 27 %3D w = Give your answers accurate to 2…

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Q: Show all the necessary figures and solutions to each of the following problems. 1. Find the area of…

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Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral…

A: Given problem:-

Q: Which of the following could be true if f'(x) = -x O f"(x) = 3 f"(x) = 4x f(x) = -æ O f(x) = -x

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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: e If F(x) = | e dt, find F(1) and F'(x). ez

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

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Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point.…

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Q: Find the volume oF the solid obtained by rotating about the x-axis the region by y= x' and the lines…

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (z? + y?)° = 25(x² – y²) at the…

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Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: Find the simplified difference quotient. f(x) = 2x +6

A: answer is in next step

Q: V29. Verify that the piecewise-defined function (-, x<0 y = 2, x 0 is a solution of the differential…

A: As per the company's guidelines, we are suppose to answer the first question. Kindly repost the…

Q: Using half-angle identities, find the exact value of tan Note that (1 cos 0 1– cos 0 sin 0 tan 2 1+…

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Q: . Use Shell Method to find the volume of the solids of revolution described in each item. Find the…

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Q: 1 х-х2 dx -8 2

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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: 5- X dy + y dx =X cosx dx dy 6- -zy メ

A: First order differential equation: Consider the first order differential equation…

Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = ( - t+ 4)i +…

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Q: and ue. Find the velocity and acceleration vectors in terms of u, r= 5 sint and 0 = 8t

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Q: Find an equation of the tangent line to the curve y = x3 – 3x2 + 5x that has the least slope.

A: Given

Q: Evaluate the integral: /3 arctan () da *Input answer as decimal round-off to 2 decimal places.

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Q: On the circle x? + y² = r², find y". C. y": A. y" = =* E. None of these y -x3 -x2 - y? D. y" = В. у"…

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Q: The following power series represent the function f(x) = 6. %3D 1+7x* E 6(-7)"x+". 4n n=0 Select…

A: Topic:  Infinite geometric series The sum of the series ∑n=0inf rn = 11-r

Q: (sec2 x + csc2 x)cos2 x dx

A: Given: I=∫sec2x+csc2xcos2xdx   Use the trigonometric identity; 1). sinx=1cscx 2). cosx=1secx And…

Q: Bob starts at home and for the next 4 hours he jogs along a straight path with a velocity function…

A: The objective of the question is determine the total distance .

Q: Find the Indeftnite Integral and check the result by differentiation. (5x) Step 1 To obtaln the…

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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: (3)" n=0 _n!

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Q: O Solve the DE: - sin dy y + dx

A: We have to solve the given D. E.

Q: 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m…

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Q: 14 V1+ 7x dx

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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: V1. y=x' +1, the axes, x=3; 0X 1 y =-, , y-axis , y=1 & y =3 ; OY

A: Here we have to find the volume.