5 25 Determine if the vectors b= i+ = 2 b and a are (Choose one) orthogonal parallel neither 5 ---/1 9 j and a = X + -To 3₁ j are orthogonal, parallel, or neither.

Q: 11. Use multiplication or division of power series to find the sum of the first three nonzero terms…

A: a)

Q: COURSE: CALCULUS 1 If profit of a company that manufactures sporting goods is estimated in millions…

A: Here we have given the function , where  is profit of the company in .

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A:

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A:

Q: (3) Let G(x)= f(t) dt, where f is a continuous function. Some of the values of G and its derivatives…

A:

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A:

Q: Consider the differential y" - 2y' + 37y = 0; ex cos(6x), ex sin(6x), (-∞0, ∞0). Verify that the…

A: NOTE: Refresh your page if you can't see any equations..The given DE is,Check the first…

Q: The particular integral of the following ODE, y" + 5y' + 6y = 10 sin(t) + 6t + 5 has the form of Ур…

A:

Q: Use Green's Theorem to evaluate: F.ñ ds where F =(√x+3y, 2x + 3y) and C is the boundary of the…

A: The solution is shown in step-2

Q: Evaluate. 5 Ĵ - 3 (4x² - 5x+7) dx

A:

Q: please do the other one

A:

Q: (a) [ƒ(x) + 9(x)]| d dx d (b) f(g(x))] dx d dx (c) · |[(x)6 · (x)ƒ]² x=1 d [g(x) (0) dx f(x) x=1…

A:

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A:

Q: A new series of tests is carried out and the equation modified to  y"+2y+5=0 y`(0)=0 y=20 t=0…

A:

Q: f(x) = 5xe² -2 -2 -1 -2 1 Find the area of the region bounded by the graph of the function f and the…

A:

Q: Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

A: n = 4The trapezoidal rule for approximating is:The Simpson's rule for approximating is:

Q: Find the positive values of p for which the series converges. (Enter your answer using interval…

A:

Q: For the sequence an = n cos n n² +1

A: given a sequence

Q: Consider a triangle with vertices O, A and B, where O is the origin, OA-√3i+j and…

A: Consider a triangle with vertices O, A and B, where O is the origin,  and .(a) To show that triangle…

Q: 51. Use the marginal tax rates in the table below to compute the tax owed in the following…

A: Solution is given below in step 2.

Q: find the sum of 27+54+81+108+...+540

A:

Q: 5) Find the length of the polar 3π curve r(0) = -2 cos 0 where 0 runs from to 2

A:

Q: 4. The logistic model describes population growth proportional to the carrying capacity by the…

A: NOTE: Refresh your page if you can't see any equations..The given DE is,Take integration on both…

Q: Is sin 1 Cos 0 TRUE for all values of 0? = csc + cot 0

A: Sin(theta)/(1-cos(theta)) = csc(theta) + cot(theta)

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A:

Q: Producers' Surplus The demand function for a certain brand of CD is given by p=0.01x² 0.2x + 13…

A: Answering first question in multiple questiongiven p = −0.01x2 − 0.2x + 13=D(x)p = 0.01x2 + 0.7x +…

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Q: A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that…

A:

Q: (a) Use the definition to find an expression for the area under the curve y = x³ from 0 to 1 as a…

A: (a) By using the definition to find an expression for the area under the curve  from 0 to 1 as a…

Q: Evaluate √x² + y² dA, where D is the domain in the figure and a = 26. 26 a -X

A:

Q: The triangular face of a gabled roof measures 34.2 ft on each sloping side with an angle of 133.4°…

A:

Q: Evaluate the line integral, where C is the given curve. S (x + 8y) dx + x² dy, C consists of line…

A:

Q: Simplify the following trig. expression: 1tan²0 1 + tan²0 +2 sin²0.

A:

Q: 1. Given the diagram below, determine the angle made by the diagonals AD and BC.

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Q: The cost, in thousands of dollars, of airing x 30-second television commercials during a major…

A: NOTE: Refresh your page if you can't see any equations..The given cost function is,Where x is the…

Q: When does the net area of a region equal the area of a region? When does the net area of a region…

A: Let us know what are net and total areas.Net area  Total area above x-axis  Total area below x-axis

Q: Suppose that f(x, y) = e/y on the domain D = {(x, y) | 0 ≤ y ≤ 2,0 ≤ x ≤ y³}. D Then the double…

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Q: Use the limit definition of the derivative to find f ′ (x) where f(x) = 10/x . Note: use appropriate…

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Q: What is the coefficient of 10 in the expansion of (x + 2)¹5 + x4(x+3)¹⁹?

A: Explanation of the answer is as follows

Q: Given the demand equation x = 140e-p/46, where p represents the price in dollars and a the number of…

A:

Q: 2. Given the vector a = (3,-4,5) and vector b = (-2,3,1) determine the following in the most…

A: Since you have posted multiple subparts question in this question which are not interlinked so i…

Q: Find what the Sequence (1/n)^(1/n) converges to or if the sequence diverges.

A:

Q: Create an equation to which the following solution apply: y=e^(-6x) and y=e^(-x) In the form of: y"+…

A: Solution is given below in details.

Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 3 ft/min.…

A: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 3 ft/min.…

Q: 5. A farmer wants to fence in 18 square feet of land in a rectangular plot along a straight highway.…

A:

Q: Let / be a differentiable function that satisfies Then f(x+y)-f(x) = 6 xy + 3y2 for any real numbers…

A:

Q: Solve for x : * = H=1 3 xit-1 = 3 αε

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A:

Q: Find dt dt dy dx dt dt "I and 1층 x = stet y = 2t + sin(t)

A:

Q: A car is driving northwest at vmph across a sloping plain whose height, in feet above sea level, at…

A: The solution is shown in step-2