Evaluate the definite integral two ways: first by a u-substitution in the corresponding indefinite integral. (2r - 7) dx = i

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: B- Given 4x – 2y = 10 and 3x – 5y = 11, solve for x and y using Cramer's rule.

A: To solve given system of equations by Cramer's rule.

Q: 2) Choose one of the following options, which interprets best the area under f(x) on the interval 12…

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Q: ind the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: We have to find the distance of the plane

Q: The rate of change in revenue for the Priceline Group from 2004 through 2013 can be modeled by dR =…

A: I am attaching image so that you understand each and every step.

Q: 1 1 -+- 3 lim x→-3 3+x

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Q: 15x? Find the horizontal asymptotes of f(x) = - 6x 14x2 + 10 (Use symbolic notation and fractions…

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Q: The length of a rectangle is increasing at a rate of 7cm/s and its width is increasing at a rate of…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: The linear approximation at r 0 to sin(2r) is A+ Br where A is: and where B is:

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Q: 2. f(x) = -7 tanx 3. y = 2 cscx 4. y= 4x cos x

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Q: STUDY GUIDE Question 11-Find the coefficient a of the term in the expansion of the binomial. a.)…

A: The given question has been solved in detail.

Q: dz dx dy 3 Assume x, y, and z are functions of t with z = x + y°. Find dt = 12, and y = 1. dt when =…

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Q: Al saves pennies. He agreed to give 2/5 of his pennies to Bev if she would give 2/5 of what she got…

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Q: A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the…

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Q: Differentiate the function. (4t + 1)3 (5t – 1)4 F(t) = In F'(t) =

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) =…

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Q: Antiderivative of a Function 13. S(3x - 6) dx 14. S(t - 6)(t² + 6t + 36) dt 15. S(2r + 5)" dx

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Q: Determine the one-sided limit of the function f in the figure at the given point. 15 10- 5. (Use…

A: Given query is to find the Indicated limit.

Q: If f is a one-to-one function with f(3) = 6 and f'(3) = 4, what is the value of (f') (6)? (1)'(6) =…

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Q: find the 3rd degree maclaurin polynomial of f(x)= (x-2)/(x+3)

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Q: b) What is

A: Given query is to perform indicated action.

Q: 3. For Z = x²secy,prove that Zxy is equal toZyx

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Q: Given the function f(x,y)=3x² - y over the rectangular region, R = {(x, y): 0 < x s2,0 < y s 3}.…

A: we know, ∬Rfx,ydA=∫03∫02fx,ydxdy

Q: (d) Determine the probabilities of the following events: E1, E2, E3 E1 O E2 E1 U E2, and E2

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Q: 4x+1 b. g(x) 9х-2

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: r2V2 Vx2-4 dx

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Q: lim .2 X → 00 et?

A: Given query is to find the limit of the expression.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Our Aim is to find the equation of the plane that passes through the givenpoint and is perpendicular…

Q: x + 4 -dx - 4x .3

A: Here we have to integrate the integral.

Q: 4. Express the following integral as a product of one-dimensional integrals, where E is the region…

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Q: 2. Find the limiting values of 3x2 + 5x-4 (i) 5x? - x +7 as x → 00

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Q: 2. One ounce of cooked meat contains 7 grams of protein. If you are going to add Keto Chow into your…

A: Given information: 1 ounce of meat=7 gm of protein1 Keto diet=15% of total calorie required1 Keto…

Q: SOLVE THE FOLLOWING INDETERMINATE FORMS x' -x? - 8x +12 Lim 1. X→2 3x' -10x² +4x + 8

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Q: Use the Ratio Test to find the radius of convergence of 2n= 10 (Use symbolic notation and fractions…

A: Solution of question is written in below steps.

Q: Let y = 5x + 4c +3. If Ar 0.1 at z 5, use linear approximation to estimate Ay

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Q: manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x^2, where C is…

A: Given query is to find the value of x for minimum cost.

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of…

A: Please see the answer below.

Q: on 2 Determine the radius of convergence, R, of the following power series. Remember the radius of…

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Q: Find the area enclosed between the curve y = 9 - x squared and line y = x + 7

A: This question is based on application of integration.

Q: Find the equation of the line tangent to the graph of 2 + y* = - 2xy + 13 at ( – 3, 4). The equation…

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Q: Sketch the region bounded by the graphs of the functions. y = x2 - 4x + 4, y = x2 - 12x + 36, y = 0

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Q: Activity 1. Calculate the Extrema Directions: Calculate the absolute extrema of the given functions.…

A: We need to find critical points to find extreama  or minima.

Q: Question The base of a triangle is shrinking at a rate of I1 cm/s and the height of the triangle is…

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Q: Find the volume of the solid generated by revolving area of a circle: (x-2)²+y²=4

A: Rotate the circle:By rotating the circle around the y-axis, wegenerate a solid of revolution called…

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0:2 + 2 sin (t + 4).…

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Q: e* +e* -x? -2 1) Lim sin² x – x²

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Question dx If y = x'+5 and dt dy at x = -5. dt -6, find %3D Provide your answer below: dy dt =口 %3D…

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Q: Use the method of Lagrange multipliers to find the largest volume of a box with no top subject to…

A: To find the largest volume using the lagrange multiplier .