By using double integrals, find the surface area of the portion of that lies inside the cylinder x² + y = 9 2 4) plane 2x + 5y +2=10

Q: 4. x-6 3 a) Determine the point of intersection of the two lines. b) Determine the acute angle…

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Q: d) y = x453x-1

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: 2. Given that p = (5,-2,4), q = (3,-4,-2), and'r = (-3,2,1), calculate the following. c) pxr d) the…

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Q: During the month of January, "ABC Appliances" sold 49 microwaves, 16 refrigerators and 27 stoves,…

A: Given:We are required to find:

Q: Questions #8 to #12 pertain to the accompanying Venn diagram. 8. If n(AUB) = 40, what is the value…

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Q: 6. The tension in a rope that is being used to drag an object with a mass 100 kg across the floor is…

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Q: 3a) Determine whether or not the function below is differentiable at 0 by using the definition of…

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Q: 2. The minimum depth, d (in meters) of water in a harbour, t hours after midnight, can be…

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Q: What is the area of the region bounded to the right by = by x = y²? 543-2-1 2 3 4 5 O co/ co/ col∞o…

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Q: Q4. As lava from a volcano cools, it flows more slowly. The distance the leading edge of the lava…

A: Consider the given function.

Q: The Cobb-Douglas Production function for a certain company is given by P(L,K)= 1400L ^0.7 K^0.3…

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Q: Find equations for the tangent plane and the normal line at point P₁ (xo.Yo.²₁) (4,5,0) on the…

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Q: enter , type P o e field below accepts a list of numbers or formulas separated by semicolons (e.g.…

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Q: Given f(x, y) = -6x¹ + 6x³y - 2y³, find fz(x, y) = fy(x, y) = faz(x, y) = fry(x, y) =

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

Q: 4. Find the local extrema for the given function below. No graphs. f(x) = x + ln(x² + 1)

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Q: 1. Complete the following analysis for the function f(x) = = Note that the first and second…

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Q: 32. a) Determine the vector equation of the line of intersection of these 2 planes: 1 x-y+z=-3 (2)…

A: a) Two equations of plane,we have to find the vector equation of the line of intersection of the two…

Q: Find the following derivatives. Z and Z₁, where z = ex+4y, x= 3st, and y=8s + 4t

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Q: Find the four second partial derivatives of the following function. 5x z = 8ye

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Evaluate the line integral Jc (2x³y³) dx + (9x³ + y³) dy where C is the unit circle, and verify…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curve about the…

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Q: 7. Given f(x) = ax² + bx + c, determine the values of a, b, and c if: f'(x) = 6x + 3 and ƒ(2) = −1.

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Q: Evaluate the limit. lim (x,y)-(-3,3) 4x²-4y² x+y

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Q: 6. Determine the equation of the tangent to y = :-xex + ex at x = 0.

A: Explaination of the answer is as follows

Q: dy dx = (y +9)(y-9), where y(0) = 8 The partial fraction constants in the partial-fraction method…

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Q: Using the substitution u = 1+x^2, convert the integral into one involving only the variable u. You…

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Q: find exact value using diagram of four quadrants. please draw the diagram. 1) 2sin 2) cos² sin² 6 3)…

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Q: If x² + y² = 4, then O false O true dy dx ==3 Y

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Q: S 6x²+5x+1 x³+3x²+2x+6 dx

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Q: Find (3). (If an answer is undefined, enter UNDEFINED.) f(x) = x²-3x - 4 g(x) = x² - 9x + 18 (4)(³)…

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Q: The population of a town grows at a rate proportional to the population present at time t. The…

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Q: 4. A translation service has 74 employees. There are 45 employees who speak French and 22 employees…

A: This is question of calculusHere given conditionWe have to draw venn diagram for it.Further…

Q: Rewrite the following equation with the variables separated. y' = 6xy² + 2xy + 6y² + 2y

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Q: 2. m, ne N. (a) You are given that limx→ (x log x) lim [xm (log x)"] X→0 Use L'Hôpital's rule to…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 21. a) Evaluate the following limits. Show proper steps. 8x²-2x-3 2x+1 a) lim x→→ 2 2x x-0 √2x+1-1…

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Q: Write the following in exponential form: y = In(0.34) O 3.4⁰ = y O e = 0.34 O e³.4 = y O 3.4 = e

A: The given equation is; y=ln(0.34)Write in exponential form.

Q: Given the augmented matrix A = 1 2 -2 2 -2 5 -8 -17 H -2 4 perform each row operation in the order…

A: Given

Q: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? 6.4 5.6 4.8 4 3.2 2.4 1.6…

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Q: For the function f(x,y) = In (7x+2y), find and əx dy

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Q: Find | of ax 11 of and ay for the function f(x,y). f(x,y) = g(t)dt (g continuous for all t) X

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Q: Find -зе ху Ә ?х

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Q: If ƒ(4) = 3 and fƒ'(4) = −5, find g'(4) where g(x) = √xƒ(x).

A: To find g'(4) where g(x) = sqrt(x).f(x)  also given f(4)=3 and f'(4)=-5Derivative using product rule…

Q: Solve the following equation for x. 6* = 216

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Q: You have the following vector : v= You must determine the direction and length of it. You must also…

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Q: Using the change of base formula, log, 10=7 log log(10) O In(20) O A h (10) O bg (10) log

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Q: 15. 13. fcot³ x 9-12, evaluate the integrals. 11. ftan² x sec¹ x dx tan x sec² x dx In Exercises…

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Q: 2 Determine and classify the critical point(s) for the function g(x) = x²(x − 3)²³.

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Q: 4. A translation service has 74 employees. There are 45 employees who speak French and 22 employees…

A: Let A be the set of employees speaking French and B is the set of employees speaking Mandarin…

Q: 4. An object moves horizontally from rest. Its position, s, in meters, after t seconds is given by:…

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