d dx J3 (2t³+3) dt = -3

Q: Find the absolute maximum and minimum values of the function, and sketch the graph. 7x+1, for 1sxs1…

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Q: Is the following statement true or false If f(x) is continuous on [a, b], then dr. fr f(x) f(x) dx=…

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Q: (a) Find the dot product v. W. v = −4i + 6j – k w = 3i + j - k (Express numbers in exact form. Use…

A: v=-4i +6j -k and w=3i +j -kthen v.w=(-4×3)+(6×1)+((-1)×(-1))=-5

Q: A business owner takes on a $6,000 loan to cover expenses. The interest rate on the loan is 3% per…

A: The solution is shown in step-2

Q: The path of a total solar eclipse is modeled by f(t) = 0.002911² -0.412t+24.897, where f(t) is the…

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Q: Use Stokes' theorem to evaluate Ils (V x F). n do where F(x, y, z) = -3yzi + 3xzj +3(x² + y²) zk and…

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Q: Use a graphing utility to graph the curve represented by the parametric equations. Indicate the…

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Q: If the following sequence converges, find its limit. If the sequence diverges, enter Ø. + 2 n 2

A: The sequence is

Q: Write the equation of the trigonometric graph. Use a positive coefficient on cosine fo this…

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Q: A solid has a square base with vertices (-2, 0), (0, 2), (2,0), and (0, -2) and the cross-sections…

A: The solution is shown in step-2

Q: Convert the formula f(t) = 290e0.1t to the form f(t) = abt. Write your answer using function…

A: The given formula is  .

Q: Find the equation of the sphere passing through P(-2, 1, 6) and Q(6, -3, 7) with its center at the…

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Q: Write an equation forna rational function with a vertical asymptotic at x=-2 and x=4, x-intercepts…

A: The solution is shown in step-2

Q: Find the shortest distance from the origin to the graph of the circle with equation given below.…

A: The given equation is; x2-16x+y2-18y+109=0Find the distance from the origin to the graph of the…

Q: 11. Find and classify all the critical points of f(x, y) = y³ + 3x²y - 6x² - 6y² + 2 g(x, y) = x³ -…

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Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

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Q: 2 2 -1 and v₂ = 8 form an 4 1 orthogonal basis for W. Find an orthonormal basis for W. The vectors…

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Q: Use limits involving to to describe the asymptotic behavior of the function from its graph. (If the…

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Q: 1- 2х + x2 dx х2

A: To Find :

Q: Verify the identity. (Simplify at each step.) 2 cos2 - 2 sin² g = 2-4 sin² g 2 cos² - 2 sin² = (2-)…

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Q: r(t) = 103-10/2 + 200 + 60 (0 ≤ t ≤ 12) 9 81 where t is measured in months, with t= 0 corresponding…

A: We can solve the given problem by using differentiation formulas and chain rule of differentiation.

Q: Consider the function f(x) = x² - 7x + 10 x + 5 a. Find the first derivative. f'(x) b. List any…

A: Since, you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: The recursively defined formula for writing an arithmetic sequence is given by: a₁ = c, an = an-1 +…

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Q: Find the values of a and b that make the following piecewise function differentiable everywhere. Jx²…

A: To find the values of  and  that make the following piecewise function differentiable everywhere.

Q: Use the given conditions to find the values of all six trigonometric functions. (If an answer is…

A: We know thatsin2(x)+cos2(x) =1.......(1)And, sec2(x) - tan2(x) = 1or, sec2(x) = 1+…

Q: Solve the equation. Give an exact answer using the log function and an approximate solution to 4…

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Q: The following statement is true by mathematical induction: 1+2 +2² +2³+24+ + 2n-1=2"-1 for all…

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Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

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Q: Find all values c which satisfy the conclusion of the Mean Value Theorem: g(x) Inx, on the interval…

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Q: Evaluate [² f(x) dx, where [² = f(x) dx f(x) = [9x7, (8x³, 0<x<1 1≤x≤ 2.

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Q: An employee's monthly productivity M, in number of units produced, is found to be a function of the…

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Q: = 4 19. Let g(t) be a differentiable function such that g(2) = and g'(2) : and let f(x, y) =…

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Q: 25. Evaluate the iterated integral. Cπ/2 5 a) ₁ ² (y³ + y²cos(x)) dxdy b) fő fe ex+3y dydx

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Q: Let Cox) represent the cost and R (X) the revenue in dollars, associated with producing and selling…

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Q: In the picture below is a shaded region between the curves y = r¹-2r²+1 and y = 2-2r² for -1 ≤ ≤ 1.…

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Q: Arithmetic combinations in functions Be f(x)=√x-1 and g(x) = √2-x 10.- g/f Solve and find their…

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Q: 2. Consider the function C (t) = te-2t, t > 0 for modeling the absorption and metabolism of alcohol.…

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Q: 27. Evaluate the iterated integral. xy² a) SS₂ 2²x dA where R = {(x, y): 0 ≤ x ≤1,-1 ≤ y ≤ 1} b) ₁₂²…

A: a) where

Q: Write the sum 1+2+3+4+5+6 using sigma notation. The form of your answer will depend on your choice…

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Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

A: The solution is shown in step-2

Q: Find parametric equations of the line that contains the point P(2, −2, 1) and intersects the line L:…

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Q: 1. Consider the function f (x) = x³ - 3x. (a) Find the intervals on which f is increasing /…

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Q: Determine whether the improper integral diverges or converges. +3 So (+² + 8)²0 converges O diverges…

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Q: For the function y = 2x5, find d^y dx4 = d^y dx4 ...

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Q: Determine the degree of the following sequence: 5, 24, 93, 272, 645, 1320,... 4 th degree 2nd degree…

A: To determine the degree of the following sequence.

Q: The manager of an electronics store estimates that the number of flash drives that they will sell at…

A: The given equation is,

Q: let f(x) = 2x²-36x² + 20. Find the intervals where f is increasing. a) (-3,0)√(3, ~) b) (-3,0)0(0,3)…

A: Let To find the intervals where  is increasing.

Q: Evaluate. (Assume x>0.) Check by differentiating. 26x² 26x² In x dx

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Q: The number of retro portable CD players you are prepared to supply to a retail outlet every week is…

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Q: Calculate the coefficients of the first four terms of the binomial expansion for the binomial (x +…

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