Write the scalar equation of each line given the normal vector in and point Po. a) π = [5,2], R (1₁-6) b) n = [2,-3], P. (5,2)

Q: Evaluate the integral by changing to spherical coordinates. 6⁰ 6² 10 ✓ 100 - x 2 ✓200x2 - y² x² + y²…

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Q: Determine the projection of it outo ~ and calculate its magnitude. u = [3,6₁ -2] = [4,3, 8]

A: Note : As per our Guidelines , we can solve first question . Please repost remaining question .

Q: Find the exact value of cos(cot ¹(-1)). O 0 √2 O -√2 2 O -√2 √2 2

A: if

Q: Find all critical points of the following function. x³ y³ 3 3 f(x,y)= - 10xy What are the critical…

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Q: 4 Complete the following implications: a. z = (x²y4 + 2)5 → da

A: As per the Bartleby guidelines, answering only first question as the other questions are not the sub…

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Q: he function f(x,y)=3xy has an absolute maximum value and absolute minimum value subject to the…

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Q: Evaluate the limit, using L'Hôpital's Rule. Enter INF for ∞, -INF for -∞, or DNE if the limit does…

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Q: (13) Draw vector AB joining each pair of points. Then write the vecter in the form [a, b, c] a)…

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Q: Below is the graph of the DERIVATIVE of f --- that is, the curve y = f'(x) is pictured below. + -3…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Find the Jacobian of the transformation. x = 7uv, y = 4vw, z = 9wu

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Q: =h² (3r-h), for 0shsr. Complete parts (a)-(d). The volume of the cap of a sphere of radius r and…

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Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

A: The given function is,

Q: 7. Let a = (2,0,-1), and 5= (3,-2,0). (a) Find the angle between vectors a and b. (b) Find a unit…

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Q: f(x) = sec³ (5x4 - 18x²)

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Q: 2 1 y=g(x) X

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Q: Evaluate the following using exact degree measure. Show all of your work. O 150° 30° O 120° 60° CSCT…

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Q: 11. Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2, 1,0), Q(2,…

A: We have,Parallelepiped with adjacent edges PQ, PR, and PS where P(-2, 1, 0), Q(2, 3, 2), R(1,4,-1),…

Q: Let f(x) = 4x4 - 32x³ + 9. Find the intervals of increase/decrease of f. Enter your answer using…

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Q: A real-life problem is modeled using a sine function in the form of f(x) = acosx + c. Assuming a is…

A: False.In the given function, f(x) = acos(x) + c, the coefficient "a" is positive, and the "c" term…

Q: 84°F T-storms Find the value of cos 0 for the triangle shown below. femper E 0 33EEFFECE √5 2 √5…

A: The right triangle has measures  and .We have to find the value of .

Q: Let u = (4, 5), v = : (4, 5), w = (26, -53). Find the vector x that satisfies 5u - 3v + 2x = 23x +…

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Q: Find the consumer surplus for the given demand function and sales level. (Round your answer to two…

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Q: If A = 1 01 O O correct answer is A = then what is A¹ [ -1 O -1 1 H 0

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Q: Y₂ N || e-/P(x) dx dx x²(x) Y₂ = y₁(x) of= as instructed, to find a second solution y₂(x). x²y" +…

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Q: How long should a wheel chair ramp be if the angle of incline is to be 33° and the vertical end of…

A: To determine the length of a wheel chair ramp if the angle of incline is to be  and the vertical end…

Q: Sketch the graph by hand using asymptotes and intercepts, but not derivatives. Then use your sketch…

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Q: Draw the projection of the curve onto the given plane. r(t) = (t³, 5, 5), yz-plane. Xtr Ⓡ

A: r(t) = ( t3 , t5 , t-5 ) yz plane

Q: a) à = [ 7₁ -2], 6 = [2, -5] b) c = [ 3,5], j = [1, 2]

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Q: Let (x + 16)(y + 50) = x² - y4. Compute dy. dx dy dx =

A: given

Q: 113 Let A 12 4 12 21 45, For what values of a, does the linear system Az = b have no solution? and…

A: Let  and To determine the values of , for which the system  have no solution.

Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

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Q: EXAMPLE 2 Find the area of the region that lies inside the circle r = outside the cardioid r = 1 +…

A: Here we have to find the area of the region that lies inside the circle and outside the cardioid.

Q: s(t) = -16t² + vt + so A ball is thrown straight down from the top of a 452-foot building with an…

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Q: Consider a home mortgage of ​$150,000 at a fixed APR of 3​% for 20 years. Complete parts ​(a)…

A: Given :

Q: Cx² f(x) = = if x 1 { 6 C-X

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Q: ow 50. a) Assume that w = f(s³ + t²) and f'(x) = e*. Find and dw at მs` af af b) Assume that w =…

A: a)  and To find:  and b) , , and To find:  and

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: The area of an ellipse with axes of length 2a and 2b is A = tab. Approximate the percent change in…

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Q: Which Riemann sum represents the illustration shown? 4 3 2- 1 Y N. 2 IMW 4 -2 6 Vxi 4 Συνα· Δxi i=1…

A: Using the given illustration, we will try to find the Riemann sum.

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: 1. The equation r²y³ +2ln(yz) + ye" - 1 determines a surface. Note that you cannot easily write z as…

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Q: st K For the following trajectory, find the speed associated with the trajectory and then find the…

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Q: Calculate: 25°2714" +41.2593 grad +0.15442 rad (answer in grads) a. 69.544393 gr O b. 89.202764 gr…

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Q: If sine = --and tane= find sec 8. 1 3 86°F Rain coming Esc 0-13/15 0 F1 O 1 1 53 315 53 F2 @ 2 F3 O…

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Q: Compare the monthly payments and total loan costs for the following pairs of loan options. Assume…

A: To compare the monthly payments and total loan costs for the following loan options. It is assumed…

Q: 2x3 x²-16*

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Q: aN = 2.70 is not correct could you please check it again? Thank you!

A: The solution is shown in step-2

Q: Evaluate the limits, using L'Hôpital's Rule. Enter INF for ∞, -INF for -∞o, or DNE if the limit does…

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Q: Given an acceleration vector, initial velocity (uo.vo.wo), and initial position (xo.YoZo), find the…

A: We have,Acceleration vector: a(t)=⟨7t , e-t ,11⟩