If x>1, pick the expression below which always decreases as x increases 1 x==²=22 X a) x.

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Q: Consider the following. √ ² x ² (4x² - 1)^ dx Let u = 4x³ du = - 1. Find du. dx Indicate how the…

A: To evaluate the integral.

Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $90 per barrel. If…

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Q: Consider the following series. n = 1 Evaluate the following limit where an = R = x n42n I = an+1 lim…

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Q: Suppose you are driving away from Morgantown. At noon, you are 75 miles away from Morgantown. From…

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Q: The temperature of a town t months after January can be estimated by the function f(t) = - 23 cos…

A: According to question,Given Function,ft = -23 cos π6t+65

Q: Let theta be an angle between vectors u = i + 4j, and v = -2i + j. What is Cos theta? What is sine…

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Q: Find the average rate of change of the function over the given interval. 1) y = √√√2x, [2, 8]

A: formula for average rate of change is  =f(b)-f(a)b-agiven f(x)=2x , given interval is  2,8there for…

Q: Q1 -/m 3 SoNe |3x+1|-4=1

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Q: Given vectors u = (-2, 23) and v = Provide your answer below: (-2, 26), find vector u — v.

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Q: Convert the polar coordinate (8, (8₁ coordinates. Enter exact values. X = y = 3π ▬▬▬▬▬▬▬▬▬ 4 to…

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Q: What is the are between the graph of y=4x³+2 and the x-axis from x=1 to x=2

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Q: Evaluate the double integral for the function f(x, y) and the given region R. f(x, y) = 5x + 6y; R…

A: Double integral

Q: Given the points P(−2, 3) and Q(−2, −5), find the magnitude and direction of PQ. Provide your answer…

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Q: An appliance company has determined that the cost of producing ice cream makers is $⁢29.50 per ice…

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Q: = Find the area of the region enclosed by y x = 3.5 - y². 1 1 2 3 and 3.5x and Use horizontal strips…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Solve for x in In(x+3)=5. Give an exact answer only. Write "no solution" if necessary. As always, be…

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Q: Consider the following. [²x(x² - 1)³ dx Let u = x² - 1. Find du. du = dx Indicate how the limits of…

A: To evaluate the following integral.∫05xx2-13 dx

Q: S Sinx-cosy-2=0 ; 16) A) -cot X B) -cot y d) -cscy cos X E) dy = ? ax c) Cos X Sin гу 2-CCSX siny

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Q: Compute • d da - [In(1+x)²].

A: NOTE: Refresh your page if you can't see any equations. . use the log rule

Q: 1-4x7 lim x++∞ x7 + 12x

A: we have to evaluate the following limit :--   limx→∞1-4x7x7+12x     now , given limit =…

Q: ds Given the velocity v= and initial position of a body moving along a coordinate line, find the…

A: use integration for finding the  position

Q: Given f(x, y, z) = √4x + 6y + 3z, find fz(x, y, z) = fy(x, y, z) = fz(x, y, z) =

A: The given function fx, y, z=4x+6y+3z. We have to find the values of fxx, y, z, fyx, y, z, fzx, y, z.

Q: Find the area of the shaded region. - 4x (3,15) 3

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Q: Particle X moves along the positive x-axis so that its position at time t≥ 0 is given by x(t) = 5t³…

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Q: 6. Consider the function f(x) = e¹/x. (a) What is the domain of f(x)? (b) Find all vertical…

A: By drawing a graph of y=e^1/x  We can clearly see

Q: Find the Taylor polynomials of degree n approximating cos(2x) for a near 0: For n = 2, P₂(x) = For n…

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Q: Find the area inside the loop of the following limacon: r 7-14 sin 0 -

A: Given: r=7-14sinθ To find: Area inside the loop of the given limacon Now, we know that area of the…

Q: Convert from a Rectangular to a Polar Equation: f(x) → r. (x-3)² + y² = 9

A: We are required to convert the rectangular equation (x-3)2+y2=9  to polar equation

Q: Find the area inside one leaf of the rose: r = 5 sin (30) The area is

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Q: 2 (b) ₁² ( + 6x) dx X

A: ∫xndx=xn+1n+1+c∫14(2x+6x)dx=2∫141xdx+6∫14xdx

Q: The United States population (in millions) is predicted to be  P(t) = 317e0.01t,  where t is the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is where P=population…

Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt dy dt…

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Q: Z = e¯(4x²+3y²) at point (0, 0, 1).

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Q: Find a . b. |a| = 9, |b| = 8, the angle between a and b is 30°.

A: Given, |a| = 9, |b| = 8 The angle between a and b is 30° We have to find a•b

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

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Q: 1 25 + 45+20 +20)

A: NOTE: Refresh your page if you can't see any equations. .

Q: enan-178 -492 dx

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Q: (x₁+) lies 1) lies on the unit circle. Find X The point (x all values of X

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Q: Graph these two function, then find the area between them: f(x) = x², g(x) = 4x - x²

A: Topic:- application of derivatives

Q: Which of the limits is equivalent to the following definite integral? Se e² dr Choose 1 answer: B…

A: To determine the limits which is equivalent to the following definite integral.∫03ex dx

Q: Inverse laplace 8/(3s^2+12)+3/(s^2+49)

A: The given Laplace transform is Fs=83s2+12+3s2+49. We have to find the inverse Laplace transform.

Q: Find the average value fave of the function f on the given interval. f(0) = 5 sec²(0/4), [0, π] fave

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Q: When solving a triangle which is not drawn, you must consider several scenarios: (1) No triangle is…

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Q: the gr f(x, y) = x + 4y; R is bounded by x = 0, x = 2, y = 0, and y = x

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Q: f(x)=xe^-x How can you use limits to decide which of the two factor functions in f(x) dominates as…

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Q: Given f(x, y) = fzz(x, y) = 6x5xy² - 2y³, find fry(x, y) = Question Help: Video Submit Question Jump…

A: Given: fx,y=-6x6-5xy2-2y3   As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law:…

Q: 2) Find the eigenvalues of the matrix. Then find the corresponding eigenvectors to the eigenvalues.…

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Q: Find dy/dx by implicit differentiation. ex²y = = x + y

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