y = (x²+8)

Q: (9) (a) Find the equation of the tangent plane P to the paraboloid z = = x² + y² at (1, 2,5). (b)…

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Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: a. Solve the system u = 3x + 2y, v=x + 4y for x and y in terms of u and v. Then find the value of…

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Q: Suppose that the equation In (3x - y) + x sin (z) = ln3 defines z as a differentiable function of…

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Q: Let f(x, y, z)= y³z + ln(xy + 1) + ye*. Then the maximum rate of change off at the point A (0, -1,…

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Q: 1) Lines I, n and m are parallel. Find the measures of angles a through e. a = b= C= d= e= 2) Find…

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Q: Find the area in the first quadrant between x² + y² = 1 and √√x + √y = 1.

A: Please see the below picture for detailed solution.

Q: Find f'(a). f(x)= 16+x-8x²

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Q: Let f(x, y, z)=xze +3(x+y)-xz³. Then the derivative off in the direction of v=7+j+2k at the point…

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Q: A circle is growing, its radius increasing by 4 mm per second. Find the rate at which the area is…

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Q: ! Let f(x,y)=e+√4-xy+xcos(xy). Then This option This option 52 of (0,1)=

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Q: 29-32 Find the values of p 1 29. X -2 n(In n)P 31. Σn(1 + n²)P n=1

A: Please see the below picture for detailed solution.

Q: Compute 8/3 4 2 lim x→0+ x Since this doesn't look like 0/0 or ∞/∞, you can't use L'Hôpital's rule…

A: A detailed solution is given below.

Q: Find the area of the shaded region. 2- L -24 y=x-2 + 2 3 4 square units y=√x X i

A: Topic = Area

Q: he probability that the weather will be sunny tomorrow is 0.73. What is the probabilitv that the…

A: We have given that        probability sunny tomorrow is = 0.73        then  find the probability not…

Q: X lim -In xx 4 lim x→0+ 5x – ln(x) 4x e ¹x 4 7 (1-1) lim x 0+ x - lim x→0 sin(5x) - 1 8 e2x - 1 lim…

A: there are seven indeterminate forms : 0/0, 0×∞, ∞/∞, ∞ −∞, ∞0, 00, 1∞

Q: (8) A manufacturer wants to make an open box of volume V 500 cubic cen- timeters using the least…

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Q: Use Taylor series expansion of an appropriate function to prove the following equalities: (a) (b)…

A: The solution is shown below-

Q: Find the area of the shaded region. 2+ y=x-

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Q: 9-11. Let F(x) = f(x) + g(x), G(x) = f(x) – g(x), and H(x) = 3ƒ(x) + 2g(x), where the graphs of f…

A: We have given the data.

Q: Write an iterated integral for R bounded by y = 5√√x, y = 0, and x = 32 using a. vertical…

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Q: 9) /(x) = 3 · -8 -6 -4 -2 | x + 1 20 18 14 1 12 10 8 ଣ 4 + 2 2 4 6 X

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Q: tt (seconds) 0 2 4 6 8 Velocity (ft/sec) 0 2 8 14 30   Shown in the table is the velocity of a car…

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Q: A couple from Seattle needs $32,423.51 as a down payment for their first home. If they invest the…

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Q: 1. Find the derivative of the following: a) 3x²+6x f(x)= 5x-1

A: according to bartleby guide line we do only first part of multiple questions…

Q: The figure shows the region of integration for the integral. *** f(x, y, z) dy dz dx Rewrite this…

A: We have to rewrite the given integral.

Q: TT₂: TT₂: TT₂: 3x+2y-z+6=0 6x+6y-2z+6=0 3x+3y-z+6=0

A: Given: A set of three planes 3x+2y-z=-66x+6y-2z=-63x+3y-z=-6 To find: intersection of these planes.…

Q: Find the directional derivative of f at the point P in the direction of a. a=i-j f(x, y) = 6x³ —…

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Q: Assume the nth term in the sequence of the partial sums for the series an is given below. Determine…

A: The given sequence of partial sum of the series ∑n=0∞an is sn=5+8n22-7n2. We have to find the sum of…

Q: Consider the following. Find g'(x). g'(x) = g(x): = X In(x) In(x) - 1 In(x) ² 2.72 Solve g'(x) = 0…

A: NOTE: Refresh your page if you can't see any equations. . the derivative of the function already…

Q: (()* 2 2) y = 5. 20 18 16 14 12 10 y

A: We need to draw the curve.

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = -6x² - 4xy-4y²…

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/4…

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Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

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Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: The useful formula is: ∫1udu=lnu+C and ∫udu=u22+C

Q: 4) Find the point on the line y = 2x + 3 that is closest to the origin.

A: Here given line is: y=2x+3 Find the point on the line that is closest to the origin.

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: Find y' and y". y' y" y = (2+ √x)³ 3

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Q: Write and solve the differential equation that models the verbal statement. (Use k for the constant…

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Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

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Q: Find the distance between the skew lines: x=6+6t, y=4+7t, x = 5-t, y = 8, NOTE: Enter the exact…

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Q: Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the…

A: Given, The quantity of the drug decreases at a rate proportional to the amount left in the body.…

Q: 5. Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? If it…

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Q: th Find a formula for the n partial sum of the series 5+ th The formula for the nº partial sum, Sn,…

A: Given : Series is given as  5+56+536+5216+... + 56n-1+... To find : Formula for nth partial sum of…

Q: dy Compute if dx y = = (e²+7³) cosh5 (ln x) (π + e)e²+ cot-¹(5x²)

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Q: 15+ 20 9 A 400 + 20 *How did you becoume this 20 9A 400 0-1503 +0.150-0-0454= -18 How !!! Help me to…

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Q: Find the area of the shaded region. y=0 square units y 9|2 9|2 y=x√√9-x² y=0 3 - X

A: Area

Q: Fill in the missing values such that the final term is pulled out of the summation. 9 Σ i=1 = Ex 5-1…

A: To fill in the missing values such that the final term is pulled  out the summation. ∑i=19 i2=∑i=1?…