3 The triple integral L (x + 2y – z)dxdydz is equal to

Q: 1- 2. 12 3 10 O 니 %3D 3.

A: In this question , we can find the value of the variable of 'a' and 'c' . Multiply the left hand…

Q: 4- The number of element in the sample space when you flip 3 coins together a) 2 b) 8 c) 6 d) 12

A: To find the number of elements in the sample space when 3 coins are flipped together.

Q: By the Fundame 2+x? dx. 1

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Q: 12

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Q: Find the equilibrium point for a product D(a) 0.006x and S(r) 0.003x² Round only final answers =D36…

A: To find the equilibrium point we have to put  D(x)= S(x) and solve for x .

Q: Find the area of the shaded region shown in the graph. y-13 sin e 13 cos x The area of the shaded…

A: Given: Let us first find the common element.            13sinx=13cosx⇒13tanx=13⇒tanx=1⇒x=π4

Q: 13. sec*0 sin 8 de

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Q: 3. Find the integral * dx a² -2 x+1 a.-x - - x - In(x + 1) + C 2 b.x2 – x – In(x + 1) + C c.x2 – x +…

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Q: 4. If ) dx=a+ 2b, then Sw+5)&r= (A) a+2b+5 (B) 5b-5a (C) 76-4а (D) 7b-5a (E) 7b-6a

A: A detailed solution is given below

Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

A: From the graph the zeros are -2, 0, 3.The equation of the function is given…

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: Let f(x) 5x. %3D Compute f'(64) and find an equation of the tangent line to the graph at x = 64.…

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Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

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Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

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Q: The demand for a particular item is given by the function D(a) 1, 300- 3x2 Find the consumer's…

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Q: 4. Find the arc length of r = cos? (0/2), 0 s 0 s 2n.

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Q: Evaluate the triple integral. Then, on your paper, sketch the solid whose volume is expressed by…

A: We can solve as follows

Q: Find all zeros of f(x) values, using radicals and/or fractions if necessary, not decimal…

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Q: Use power series to show that sinh(z) + cosh(x)= e".

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Q: 1. Determine the type and stability of the critical points of the homogeneous systems: (b) 4 = x + y…

A: Solving

Q: Find the definite integral using its geometric interpretation. Sketch the graph of the integrand. S"…

A: We have to find the value of the given integral.

Q: Scot(x)dx

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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: For the series E=13 * a. Find the first two partial sums si and s2 b. Does the series converge, and…

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 2x²–50…

A: fx = 2x2-50x2+8x+15domain: -∞,-3∪-3,∞x=-3, vertical asymptotex=-5, hole

Q: When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the…

A: we have to find equation of motion .

Q: Let g be a function with derivative given by x2 - 2x - 8 g'(x) = V2x³ +5 - 1<x <5 %3D . At which…

A: Occours

Q: f fcx) = 5 Ccor"2x) 131

A: The objective of the question is determine the derivative of the given function.

Q: A ball is thrown vertically upward from the top of the house 112 ft high with an initial velocity of…

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Q: (3) (E) - (a) - () 2. 2. 는 (v) 1 1 1. (B) 1 1 = xP (x)fj fx+1 for x<0, 9. Given f(x)= cos nx for…

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Q: Frod the averuge vearlue of the durndkam f over Shoe lad eraual [q,9]

A: Solve it

Q: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

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Q: fa |(1 + 63*(6) ds 25 – x² (– 2x) dx

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Q: A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if…

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Q: у2 3 csc2 5x cot? 5x — CSC+ 5x сot? 5x

A: Use chain rule to find derivative

Q: 26. Let g be the function defined by g(x) = |. +7 - 2--61 dt. On which of the following intervals ie…

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Q: Switch the order of integration for the double integral below and evaluate it. On your paper, sketch…

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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: 9 Derivative of fi») 1x 4 . 5. 1 f) 1x1cosx, fird f'n)

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Q: A plane P, in R'is perpendicular to the vector i = (6, 6, 7), and contains the point (3, – 7, – 5).…

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

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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…

A: we know that  The deck has cards in two colours red and black

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: 1. lim 32-3 +5 2. lim log, (x-8x 1) 3. lim (In 2x +5) + 4 Write your final answer using 4 decimals

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Q: Find the derivative of the function. f(x) = ex2 + 2 %3D f'(x)

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Q: The graph of e(t) -(2 sedt), 6 tant)) for 0st< can aino be described in the form y/(x). This problem…

A: We use the formula. Sec2t-tan2t=1

Q: 20-1 to -5 -10 Find the aren et he regpen endosad by Hhan gaco p he serkicd lie X =1 an2 %3D

A: Given the query is to find area enclosed bybthe curves.

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: 7)Debermine whether the inkegra) is covergant. Pivergank If its convergant, evaluate it.

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Q: Find the area under the curve y = 6x° over the interval [0, 2]|

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