’(x)5 or -60 if x0 if x7 ; F^’’(x

Q: Find the Volume: Rotate the region bounded by x = y²-6y + 10 and x = 5 about the y-axis

A: A detailed solution is given below.

Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

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Q: (d) If f'(x) = g'(x) for 0 < x < 1 then f(x) = g(x) for 0 < x < 1. True False

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Q: d=(-3,-2) and 6=(2,4). Represent a-6 using the head-to-tail method. Use the Vector tool to draw the…

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Q: 8 Determine the area of the region bounded by the curves y = =, y = 2x and x = 4

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Q: Which of the following statements is (are) true? I. If f is a function from [a, b] to R and F is any…

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Q: 15. A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: limg0 (csc y Arcsing”

A: Given problem:- limy→0cscyArcsiny2

Q: . Find the area bounded by the given curves. y = 9x² and the x - axis.

A: First we find point of intersection of curve y=9-x2 and x-axis. Put y=0, 0=9-x2 x2 =9 x=±3 Therefore…

Q: Use the transformation to graph the given function. Show all of the transformations on the same…

A: We have to translate the graph

Q: Consider the region bounded by y = e*+1, y = 1, and y-axis. 15 0.5 -0.5 0 Using the Cylindrical…

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Q: Determine if the improper integral •+∞ dx x ln7 x is convergent or divergent.

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Q: . Consider the signal f(t) 0, -1 ≤ t < 0; 1-t, 0≤t≤ 1. This signal is periodic with period 2. (a)…

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Q: The height of a certain amusement park ride follows the function h(t) = −³+ 11t² — 32t + 28, where…

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Q: The sum of two integers is 12. If the sum of 4 times the square of the smaller integer and 8 times…

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Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

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Q: Part One. Multiple Choice 1. Which of the following is not a true statement about limits? a) A limit…

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Q: In one area, the lowest angle of elevation of the sun in winter is 23" 18. Find the minimum…

A: Here we find the distance.

Q: Let a, be such that asb. Prove that tx Eqt ax cbx

A: Concept: We have a,b∈Q means that a, and b belongs to the rational numbers and a&lt;b means that a…

Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (4x - 2) = 6 x-2…

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Q: Water is poured at a rate of 10 cubic meters per minute into a conical tank 6 meters across the top…

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Q: Correlational designs have one independent variable and one dependent variable  true or false?

A: Explanation:-  A  dependent variable is the variable to be explained and independent variables are…

Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

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Q: 2. Show the volume of the solid obtained by rotating about the x-axis the region 1 under the curve…

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Q: Solve the following LONG DIVISION 6x³5x249x equation by using + 60 = 0

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Q: Find the vector product (a*b) of the * two given vectors a= 2i+3j+4k, b=3i+5j, here i,j&k are unit…

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Q: 26. b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-3,2), D ,0). Find the equation of the…

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Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

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Q: 4. 5. 1 X√(x)}² (x)²-49 dx 1 √9+8x-x² dx

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Q: Given the function f(x) = -2x + 6x within the interval [0,8], at what values of x do the absolute…

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Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

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Q: Evaluate In x x (4 - In² x) - In 14- In² x | +C - 2 In 14-In² x | +C 12 -dx In | x (4- In²x) | +C In…

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Q: Evaluate using Partial Fraction Decomposition: (y+1)²(y−1) dy f

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Q: Evaluate using Partial Fraction Decomposition: S z² (z+1)²(z-1) dz

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 2(x² -…

A: Above question is solved.

Q: Which of the following equations is(are) true? 1 S xdx lim = ( Σ 2+ =1 1 I xdx = - 2 + -2 O None of…

A: Above question is solved.

Q: how did you get to 3x^2+1 ?

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Q: Find y' given that y - y' sec²√x tan√x √x y' = 2sec√x tan² √x y' = 2tan√x sec² √x sec√x tan√x y' √√x…

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Q: Evaluate 1¹ 1 - cos 2x sin 2x dx In | csc 2x + cot 2x | -ln | sin 2x | +C In 1|csc 2x-cot 2x |--In |…

A: The given integral is: I=∫1-cos2xsin2x   As we know the common integrals; 1). ∫cscxdx=lncscx-cotx+C…

Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: A company produces very unusual CD's for which the variable cost is $ 16 per CD and the fixed costs…

A: Let's solve for cost,revenue and profit function.

Q: 1 Consider the function f (x) = on the interval X - 1, 1]. If the Mean Value Theorem can be applied…

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Q: A function g is given. Identify the parent function. Then use the steps for graphing multiple…

A: 10.The given function gx=15x-2.3-7.4

Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

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Q: Q6. Verify 02 f exDy Dyx for the function f(x, y) = x² sin2y + y²sin2x

A: A detailed solution is given below.

Q: 5. Find Oz дz дх and if x - z = arctan(yz) defines z implicitly as a function of x and y. ду

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Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: Find the difference of place value of 5 in the number 2,53,459??

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Q: A 30-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: We have to find the limit.

Q: If dy dt y. 1 - et and y = 0 when t = 1 find

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