X. S 2x4 x³x²+x-1 - dx

Q: Find the points on the surface z²2=xy+1 that are closest to the origin using LaGrange multipliers

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

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Q: Given f(x,y)=e³x² find the directional derivative at the point (-2,0) in the direction of (2,-3)

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Q: Find the area of the region bounded by the curves, x = −6 ,  x = 6 , the x−axis  and the parabola…

A: Follow the procedure given below.

Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f’’(9). f''(x)= Select…

A: Derivatives

Q: Draw the function y = √x-8

A: The 5 points are the following.

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Differentiate Quident rule 4x² + x √x

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Q: Evaluate the following antiderivatives. f (x sinh x + 1) dx

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Q: 59. A. If ey dy = 3x² and y(1) = 2, then the particular solution y(x) is dx y = ln x³ +2 C. y = ln…

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Q: Find the average rate of change of the function f(x), given below, from x = -2 to x = 5. f(x) = x² +…

A: Topic = Functions

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function:fx=12x3-63x2-72x+6

Q: 3. Find an equation of the plane passing through the points (1, 2, -6), (2, 3, -2), and (-1, 4, 8).…

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Q: 7. Let R be the region bounded by y = √cos x, generated when R is revolved about the x-axis. (a) V=…

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Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)=

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Q: 1. Evaluate the iterated integral. (a) */2 sin 8 IT 00 */2 asine (b) ² dr de 0 rcos 0 dr de 0

A: A.

Q: 1 (√x² – 9)5 dx

A: To find the value of given indefinite integral.

Q: 49. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan use the…

A: Answer to the question number 49 is given below.     We want to find the maximum area.

Q: Evaluate the given function for f(x) = x² +1 and g(x) = x - 4. a) f(4)-g(3) _ ƒ(2) b) g(-1+h)-g(-1)…

A: Solution: f(x)=x2+1 g(x)=x-4

Q: Assume x and y are functions of t. Evaluate dt y³ = 2x² +6: dx dt -=4, x= 1, y = 2 for the…

A: Please follow the next step.

Q: x' sinx dx

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Q: What is the area beneath the curve y=x2 +1 and above the x-axis from x = 0 to x = 4 by using the…

A: Here we have to use Riemann right end sum

Q: write this on paper please show step by step work

A: The given series,      ∑n=1∞13n-7

Q: Fundamental

A: We have to explain the Fundamental theorem of calculus

Q: Explain why l'Hôpital's rule does not apply. If the limit exists, find it by other means. Use - ∞…

A: Here we have to choose the correct option.

Q: Solve 23x. 77 5x 4.2

A: Here the given problem is,              23x=4×25x We need to find the value of x.

Q: frequent problem in surveying city lots and rural lands adjacent to curves of highways and railways…

A: We have to find the total area of the given picture which contains one right angle triangle and one…

Q: Evaluate the following integral: Ca-ex ·e¯³) dx a. Analytically b. Trapezoidal rule c. Composite…

A: As per our guidelines we are allowed to answer only three subparts of a given question. Kindly…

Q: 1. A line passes through the points A (7,-4) & B (-5, -2). Find a vector equation of the line. [x.y]…

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Q: Write the parametric equations for the given vector equation: [2 [x, y, z] = [11,2,0] + t[3,0,0]

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Q: /. Find the limit of the = lim 4-√x²77 X - 3 1

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Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8

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Q: For the following system: a) Determine how, if at all, the planes intersect. [2T] b) If they do,…

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Q: The Newton forward-difference formula is used to approximate f (0.3) given the following data. 0.0…

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Q: Ex Gen If dy = y cost and y = 3 when t = 0, then y = dt 56. A. esint +3 C. sint + 3 B. 3e sint D.…

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Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

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Q: For the function f(x)=7*.9x , estimate f '(x) using h=.001 for the following three values. f '(.75)…

A: This is a differentiation problem

Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 15 hours. How…

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Q: Find dy/dx if y=3x2 – 2x.

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Q: 1. Find the solution of the following differential equation? Then find the particular solution with…

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Q: = x² + ²/4/ 3. Find the equations of the tangent plane and the normal line to z = x³ + at (1,2,2)

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Q: 2 19-x² 4 x² X dx

A: Solution of given question is written in below steps.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Using the Trapezoidal rule, the approximated value for the integral: g(x) dx, is equal to------ g(1)…

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find the volume generated by rotating the region

Q: 21. If g(x) = A. =/20 C. 2 {22² (x² + 2, x ≤ 1. (2x + 1, x > 1' then g'(1) is B. 1 D. 3

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Q: 4. Solve the following DE using a suitable type of transformation. y' = x + y (let v = x + y) O y =…

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Q: Evaluate the following indefinite integral by using the given substitution to reduce the integral to…

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Q: (b) f(0) = (Type an integer or a decimal.) (c) f(1) = (Type an integer or a decimal.) (d) What are…

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