State the condition that the two vectors i and y are perpendicular. Find the value(s) of k such that = (k, 2, k) and y = (3, –2, k) are perpendicular.

Q: The graph of a derivativef'(x) is shown in the figure below. Fill in the table of values for /(x)…

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Q: The cost, in dollars, of producing x yards of a certain fabric is given by C(x) = 84 + 0.16x –…

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Q: 1 q(x) = cot-1 ( V1-πx2

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Q: upper hall of the unit sphere x =) = 32'i+3xj-3 y'k.

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Q: A manufacturer needs to make a cylindrical can that will hold 1500cm3 of liquid. Determine the…

A: Let r be the radius and h be the height of the can.

Q: 2x2+14x-16 Let f be the function given by f(x) For what values of x does fhave a removable…

A: Given the function is  f(x) = 2x2+14x-16x2-9x+8.

Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

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Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

Q: Let C1 be the curve with parametric equations x = cos t, y = sint – t, where t E [0, 5). (a) Find…

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Q: Suppose that , g(t) dt = v2 g(t) dt 1. g(u) du 2.

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Q: d. q(x) = cot-1 ( ) 1-nx

A: Follow the procedure given below.

Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: Q1 - A coin throw three times find: 1. Sample space 2. Probability at least head appear twice…

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Q: The expression p sin ø cos 0 in spherical coordinates is equivalent to what expression in Cartesian…

A: given expression ρsinφcosθ

Q: Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

A: We have to draw the graph and average value.

Q: Let h(x) = x3. Use the Intermediate Value Theorem to show that there is a number between 2 and 3…

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Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

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Q: -1

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Q: 16. بين ما اذا كانت تقع النقطة N على المستقيم AB ام خارجه N=( 2,1.5,3 ), B ( 0,1,2), A ( 4,2,4)…

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Q: 2. Use the Laplace transform to solve the initial value problem y" + 4y' + 5y = 2, y(0) = -2, y'(0)…

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Q: 2. Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

A: We need to find equation of tangent

Q: Question 9 Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+ y…

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Q: Question 6 Use cylindrical shells to find the volume of the solid generated wher the region enclosed…

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Q: The triple integral SLS (x+2y – 2)dxdydz is equal to -8 -1

A: This can be solved as follows:

Q: Q3.4:Choose the appropriate answer: 1-If P(A)=0.7 ,P(B)=0.2, P(AnB) = 0.5,then P(A U B) = c)2 a)0.6…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: B: .A card is drawn from a well shuffled pack of (iv) a card of diamond (v) a king or a queen

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Q: Sixth derivative of a sixth degree polynomial is a line. Select one: O True O False

A: Given : Sixth derivative of a sixth degree polynomial is a line. To find: State whether the above…

Q: In(x² + 1)dx

A: We can solve the integration as below.

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: We can answer both the question as below.

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: ddtr1(t).r2(t)=r2(t)dr1(t)dt+r1(t)dr2(t)dt ddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: Let C(x)= x2+4x+1 dollars be the cost function, where the x represents the quantity. The estimate…

A: Cost

Q: determine which statement is true   x + 2y^2 + 20 = 0 (A) not a function (B) function; domain: R…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: dr

A: To find integration.

Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

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Q: b. Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: Q1// Find the Area bounded by: x = -y2 and x = y - 2

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Q: 3. 2. 1 15. The graph of f is shown in the figure above. If , f(x)dx=2.3 and F'(x)= f(x), then F(3)-…

A: ∫13f(x)dx=2.3 and F'(x)=f(x)

Q: 1. Sketch the graph of r = 6/ (3 + 3 cose).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: By using shell method, find the following volume a. y = x2 - 4x - 4 and line through point A(1,3)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A: Given that the volume V of a right circular cylinder is given by the formula V =(pi)r2h, where r is…

Q: 4. If the marginal cost for a product is MC = 2x +9 and the production of 10 units results in a…

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Q: Problem 3. Sketch the region enclosed by the curves y = 6x, y=4x², and find the area of that region.…

A: We can solve as follows

Q: Fad he averge yalue of the funchibon f fix) over the loterual [o,7] 3e- %3D

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Q: Question 2 Find the volume of the solid generated when the region enclosed by the given curves is…

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Q: Find the limit. lim (t i – 3 j + t² k) t→8 Exact number, no tolerance. lim (1 i– 3 j+? k) i+ i j+ i…

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 13 r(t) = t'i+5j 390 t14 K(t) = %| (4…

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: R(x)=0.005x3+0.02x2+0.4x(a)daily…

Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

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Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1 – y/3 – z/10) dx dy dz in the order dz dy dx.

A: To rewrite the integral ∫010∫031-z10∫071-y3-z10 dx dy dz in the order dz dy dx