Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = , y = 4, x = 5

Q: Given the two vectors: å = 2ỉ -j+k, b = i + 2k and d = 3ỉ + 5j in 3D. a) Determine the dot product…

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Q: Find the angle between the diagonals of a cube

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Q: Use the mean value theorem to prove the inequality for all a and b: Isina – sinb| < |a - b|.

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Q: Let C be the parametric curve defined by x(t) = t2 – 2, y(t) = t³ – 3t + 1. Determine if C is…

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Q: Find dy/dx: 1. у%3D Jo = San* sec? t dt

A: A detailed solution is given below

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: The particular solution of the following equation by using the method of undetermined coefficients 2…

A: A detailed solution is given below.

Q: 30 30 90 12 150 180 210 40 270 30 330 360 20 450

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Q: 1. Use mathematical induction to prove the given statements below. 2 3+2 32+....+ 2· 3n-1 = 3" – 3…

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

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Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

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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…

A: We can answer both the question as below.

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: Sketch the graph the integrands and use areas to evaluate the integrals. | Ix| dx -2

A: Follow the procedure given below.

Q: Postal regulations require that for a rectangular package with a square base, the perimeter of the…

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Q: A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the…

A: This question can be solved using the concept of maxima and minima.

Q: Evaluate y' of the given functions: (х-4) y = x2

A: Here is the solution:

Q: If 0 < 0 < 7, which of the following points DOES NOT coincide with the polar point (-r, 0)? Select…

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Q: 1. Find the derivative of the following: (Simplify your final answers.) f. Q(x) = Jx + Vx + :+ ...

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Q: 1 Calculate the difference quotient for f(x) = at a = 4. V2x + 5 (Express numbers in exact form. Use…

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Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

A: Let's find.

Q: State the condition that the two vectors i and y are perpendicular. Find the value(s) of k such that…

A: If two vectors are perpendicular to each other, then their dot product is equal to zero.

Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: Given: v(t)=t3+6t2+11t+6

Q: X-1 y-3 Given that L: k and M: 4x + ky – 3 = 0 then find the value(s) 16 of k such that the two…

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Q: If x-8 A B then the value of A is (x+1)(x-2) x+1 x-2 and the value of B is

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Q: Determine whether the differential equation -dx = e* is x' +1 separable or not. If yes, solve it.

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Q: A radar, using the polar coordinate system, detects that an airplane is currently located at the…

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

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

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

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Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

Q: 7x + 4 if x 1 |

A: Here, the given function is: f(x)=7x+4, if x&lt;-2x2+1, if -2≤x&lt;12-3x if x=11-x+x if x&gt;1 where…

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: 15 17 23 28 ? 40 28 8 3 12 13 2.

A: Consider

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

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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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: Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, z) = 2.x + y – 22 subject…

A: We have to find maximum and minimum value of given function.

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

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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: Let R be a variable and r a constant. Compute the derivative. d :(1º . R?) dR

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Q: Find the Area bounded by: x = -y2 and x =y-2 %3D

A: This question can be solved using the concept of area bounded by two curves.

Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 line hyperbola circle…

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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: Match the function with one of the graphs below using horizontal asymptotes as an aid. Am 0.5 0.5

A: This question is based on graphing a function using horizontal asymptote.

Q: write the sum in summation notation, using the given lower bound   1/2+2/3+3/4+4/5+5/6=

A: Given:  12+23+34+45+56 If we see the pattern we can say that numerator and denominator of the nth…

Q: Find the points on the graph of the function that are closest to the given point. Rx) - х2, (0, 7)…

A: A detailed solution is given below.

Q: evaluate the following integrals:

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Q: d Calculate r1(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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