Find the area of the parallelogram with vertices (1,2), (4, 5), (7, 10), and (10, 13)- Answer:

Q: Se° cosh@de

A: We have to find the integral

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A: topic - indefinite integral

Q: 6. (a) (2/3, 2, 1) (b) (4, 3, 2)

A: We have to find the cylindrical coordinates

Q: 1 (f) log16 VI+1 = 4.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.6x + 43, find…

A: Given query is to find the total revenue function.

Q: ng integrals. 25

A: We have to evaluate of the given indefinite integral

Q: Approximate the area under the graph of f(x) 1 over the interval (0, 4] using five rectangles. x +1…

A: Let's find.

Q: S(Võ +) 1 do

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Q: Find the exact area of the surface obtained by rotating the curve x = 21² +=, y = &Vr,1s153, about…

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Q: 7. A spherical balloon has a circumference of 25 cm. a.) What is the approximate surface area of the…

A: Surface Area of sphere=4πr2  volume of sphere=4/3πr3 According to guidelines we solve only first…

Q: 4x 20. Write log2 assthe sum and/or difference of ² - 3x - 18 logarithms. Express powers as factors.

A: The given logarthim expression,       log24x3x2-3x-18

Q: Entertainment In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20…

A: In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20 enjoyed rock…

Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.

Q: 6)li

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Q: Calculate v X w: v = (0, 6, 6), = (8, 7, 3) W

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Q: clearly

A: We have to choose the correct option according to the given information

Q: 1. ſx² e*³ Sx² e**dx 2. cos'xsinxdx sin3xsin 2x dx 3.

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Q: Find the absolute maximum and minimum values of each function, if they exist, over the indicated…

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Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

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Q: The vertical asymptote of the curve 9x3 х — 10 - is given by æ = ||

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Q: (d) 2. +2 = 0 (e) In enz – 1ln r - 4 = In 3 |

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Q: dx V5+4x-x² 5.

A: We have to solve question  5

Q: 1. Sx² e**dx

A: 1. To determine ∫x2ex3 dx

Q: Find f. f"(x) = 20x + 12x² + 6, f(0) = 6, f(1) = 2 %3D f(x) =

A: Find your answer below

Q: (7 Find the absolute extreme values (maxima minima) for gcx) = -x²+(6x -8 on Ca,4].

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Q: Given two vectors A = 21 + 3j - 2k B= 31- 4j – 6k Determine the vector that defines the direction of…

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Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km /…

A: Given : Time =9.65 s Distance =100m

Q: nction f(x) whose second derivative is f''(x) = 7x + 3 sin(x) )) = 3 and f'(0) = 2.

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Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

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Q: Find the differential of the given functions: 1. y = 3x4 - 5x³ + x - 4 2. u = /2y – y3

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Q: I, Let dlP) S-a). End fIt) Sta

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Q: 27-x3 1. lim X-3 5x2-11x-12

A: We have to find the limit of one question as per guidelines Please repost other questions again

Q: Calculate the derivative of the function. HINT [See Example 1(d).] f(x) = |-9x + 8| f '(x) =

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Q: Y(s) S + 8 Use the Laplace Transform table to convert this function into f(t).

A:

Q: A man wants to have a building to be used as a university, and he has two options. The first one is…

A: Convert the 24% annual rate of interest to a weekly compounded rate. A number of weeks in a year =…

Q: 7. Given: y = 3 ; Find: dy/dt V16+tª -613 (16+t*) -2t3 (16+t*) (16+41) 글 (16+t*) ? (E) None of the…

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Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r>0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: Verify that the vectors a = (2, 5, –1) and b = (3, –1, 1) perpendicular. а. are

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Q: 2 4 2n 2 4 + 4 + 4 - n n n n is a right Riemann sum with n subintervals of equal length for the…

A: Given that a right Riemann sum with n subintervals of equal length.

Q: An object is thrown. t seconds after it is thrown, its height is given by h(t) = – 16t² + 128t + 350…

A: Find your answer below

Q: Let a (-2, –1,9) and b = (-8, 4, 3) be vectors. (A) Find the scalar projection of » onto a. Scalar…

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Q: Suppose f(x, y) = x² + y? + x?y+ 2 and D = {(x, y) : |x| < 1, |y| < 1}.

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Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: 5. Jxе2x dx

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Q: (5) Use an iterated integral to find the area if the region. y y = 4 – x² 3 4 2.

A: Given; Now taking an elementary vertical strip. The area of the strip is: dA=Ldx∫dA=∫Ldx Where; L…

Q: Simplify the expression. sec @ — csc ө 2) sec 0 sin 0 – cos 0 csc 0

A: Simplify the expression

Q: Consider the function below. f(t) = t + cost, -2n sts 2n (a) Find the interval of increase. (Enter…

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Q: a. Determine whether the Mean Value Theorem applies to the function f(x) = sin - 1 'x on the…

A: