Given 0

Q: Evaluate: (20t3 – 12t? + 7)dt

A: ∫03 (20t3 - 12t2 +7 )dt here we use rule of integration xndx = xn+1/(n+1) [20t4/4 -12t3/3 +7t]03…

Q: Evaluate: (16t3 – 9t2 + 7)dt

A: ∫02 (16t3 - 9t2 +7)dt using integration [16t4/4 - 9t3/3 +7t]02 [4t4 - 3t3 +7t]02 64 - 24 + 14 54

Q: a. To maximize the area of the pen, the sides perpendicular to the barn should be 625 m long and the…

A: Given query is to find the dimensions of each barn.

Q: Find the values of the trigonometric functions of 0 from the information given. 3 O in quadrant II…

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 4]

A: Use critical value and end points for absolute maxima and absolute minima.

Q: 1) Determine the singular points and ordinary points of the differential equation: z (r – 5) y" +…

A: Given ODE is: x2(x-5)2y''+4sinx y'+(x2-25)y=0which can be written…

Q: Use D-I method

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Q: Problem3. Solve 4 + 3log(2x) = 16. %3D

A: We can solve the equation as below using properties of log.

Q: Determine whether the given differential equations are homogenous and, if so, solve them. 2x + y…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: If the integrand is positive the antiderivative is also positive. 9. The antiderivative of a…

A: Solve for each part and determine whether it is true or false.

Q: Suppose f(x) > 0 on [0, 3], f(z) <0 on [3,7), f(z f(x) dr = 5, and f(x) dx = -9. Evaluate (0). re…

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Q: Find the most economical shape (i.e. minimum surface area because it costs less) for a cylindrical…

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Q: 2) y = 3tan 3 - -2 3n 27 5n 3n 7 47 9n

A: Given query is to graph the function.

Q: Find the point on the sphere X+y+=4 and the point on The sphere x+y ansi- 2 Selution:-

A: To find the point on the sphere which is farthest from the given  point (1,-1,1).

Q: 2. If f(x) and g(x) are continuous functions, then " g(x)] dx = | f(x)dx• g(x)dx. 3. If f(x) and…

A: Note :As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 8. Which of the following is the solution to the equation sin? x + 3sin x - 4 = 0 0° 90° + 360k 90°…

A: Topic = Trigonometry

Q: Evaluate: (8t3 – 9t? + 7)dt

A:

Q: Find the absolute maximum value of f(x) = x2 – 2x + 12 over the interval (0, 4]

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Q: Question 3 To solve the indefinite integral da we will use substitution method and let u = The…

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Q: 23. Using the points P, and P, of Exercise 19, find the point Q such that V(P,Þ.) = 3V(P,Q).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 24. Find the area of the triangle having vertices at (4, 5, 6), (4. 4, 5), and (3, 5, 5).

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Q: COuld I please have help with the third multiple choice question? Thank you.

A: We have to find the conclusion.

Q: Use the Integral Test to determine whether the infinite series is convergent. Σ n2 n=19 (n3 + 6) ?…

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Q: . Evaluate (x + 1)*dx = (x +1}*dz + f{(x + 1)*dx %3D

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Q: 26. Find a unit vector whose representations are perpendicular to the plane containing PQ and PR if…

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Q: Question 14 (2) + h(x)]dr 8 1.5 -2/6 -7 -6 Blank 1:

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Q: Determine the points of inflection for the function y = 2x' – 3x² –12x+2 (show an interval chart or…

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Q: Find the equation x² + y? + Dx + Ey + F = 0 of the circle that passes through the points. To verify…

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Q: Find the dimensions of the cone of maximum volume inscribed in a sphere of radius 8 cm. [Note:…

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Q: Find all values of x where the given series converges. 9" x" (n + 1) n + 9 n=1 Answer: Note: Give…

A: Given

Q: Evaluate the following limit: 2x lim () 14x x00 14x+5 Enter -I if your answer is -o, enter I if your…

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Q: Please explain briefly. Thanku!

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Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: -1 1

A: Given that cos(arcsin(-1))   we know that arcsin(-1) equal to π/2 or 3π/2

Q: Speedometer readings for a vehicle (in motion) at 5-second intervals are given in the table. t (sec)…

A: We can find the total distance traveled by using the left Riemann sum and the right Riemann sum…

Q: the equation z=sqrt((x^2+y^2)/2) in spherical coordinates

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Q: х—1 dx х4—1

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Q: Find the absolute maximum value of f(æ) = [0, 5] x2 – 2x + 12 over the interval

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Q: . A-line perpendicular to the plane 3x-4y+z=1 passes through the point A(-1,3,2). Find the…

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Q: Find the derivative of the funciton F(x) = ,5t dt. F'(x) =

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Q: Find the area of the triangle having vertices at (-2, 3, 1). (1, 2, 3), and (3,-1, 2).

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Q: | (8t3 – 12t2 + 6)dt Evaluate:

A: We can evaluate the given integral by using the following formula.

Q: Consider the seriesan where n=1 (-3n + 5)" an (-4n – 6)" In this problem you must attempt to use the…

A: use the roots test for checking the convergence.

Q: Paramount Electronics has an annual profit given by P = -100,000 + 5,000q – 0.25q? dollars, where q…

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Q: Assume the point (3,2) is on the graph of y=f(x). Determine the value of n in the following…

A: Given query is to find the value of the indicated points.

Q: If f (x) dx = 5, | f (x) dx = 3, and f (x) dx = 12, then f (x) dx :

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Q: Find the centroid of the region bounded by the given curves. 20) The region enclosed by the…

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Q: Evaluate the definite integral: | (и - 3)(и — 4) du

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Q: 1. Find the side labeled x. State your answer correct to five decimal places. 25 52°

A: This question is based on Trigonometric Ratios.