Objective Knowledge Check Find the focus of the parabola. 2. y´ - 4y+5x+9=0 1D

Q: Approximate the area under the curve graphed below from a = 3 to a = 7 using a Left Endpoint approxi...

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Q: 1. Evaluate dx /4 sec2 x (a) VI(x+ 4) (b) * dx V1 – tan? x

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Q: An open box is formed by cutting identical squares from each corner of a 22 inches by 22 inches shee...

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Q: Find the average value of f(z) - Va on the interval (0, 16). favg- Enter your answer as a fraction.

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Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: In Cx+1) 2. -7 え+) In (x+ D In (7+1) - In ("+1) In (8) - ra Co) und efined. In Co) diverg es

A: Your answer is correct. But I have solved it with the help of method of improper integral. Given int...

Q: 2 + Vx lim x→∞ 2 – V3

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Question 5 Integrate the function. X +7 dx 2+2x A22 A)In x7 In +C 2)5 x7 In (x*2)5 In (x

A: Given: I=∫x+7x2+2xdx   We know that; ∫1ax+bdx=1alnax+b+C

Q: H.W find the Domain and Range 1. y = v2x + 7 2. у%3D15- 2х-х? 1 x+1 3. y = 4. у3 Vx2 + 4x x - 1

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Q: --2 -3- [ f(2)dx = f(x)dæ = to

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Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x- a...

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: 2-x 4x + 4x - -m(4x* + 4x – 3) + In| (2x 2x- – 3 x +1 x(x + 3)(x + 2)(x – 1) 1 (x + 3)*(x – 1)ª I dx...

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Q: Consider point P and vector v. Let L be the line passing through point P with direction v. P(4, 5, 3...

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Q: 3. Find the angles between the vectors: u = 2i + j, v= i + 2j – k а. b. u = 2i – 2j + k, v = 3i + 4k

A: Angle between two vectors, θ=cos-1u→.v→|u→| |v|→ a)  u→.v→=2i+j.i+2j-k       =2+2 u→.v→=4 |u→|=22+12...

Q: Determine whether the series is convergent that you use. divergent. Write test or 2 ८ 88

A: Explanation of the answer is as follows

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: find revenue function using integration

Q: 5. The management of Porter Airlines finds that its monthly m approximated by R(x) = 0.96 – 0.0064x

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Q: If f is a probability density function of a continuous random variable x over [a,b], then the median...

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Q: If y, and y, are linearly independent solutions of ty" + 3y' + te²"y = 0 and if W(y , y2)(1) = 3, fi...

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Q: f(x) = x2 + V1 + 2x, 3 Sx5 5 %3! im - 00 i = 1

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Q: x²y" + 2xy' – 6y = 0 , Y1 = x²

A: The given DE is: x2y''+2xy'-6y=0 with one of the solution y1=x2. Now, dividing the DE by x2 will giv...

Q: Je sin( -4x)dx 3r Su

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Q: 1 Question 3 Determine whether the series converges or diverges. Be sure to name any test(s) used n(...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Determine the interval(s) where f(x) is increasing and identify any local maxima. Complete the table...

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Q: Are 2x – 4y = 3 and 2x + 4y = -3 parallel, perpendicular or neither?

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Q: \ cosx + sinxr cos³x + sin³x 3 3. 3. cos x – sin°x |dx 3. cosx + sinx cosx – sinr

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Q: Is f(x) = x2 an even or an odd function? What symmetry does its graph exhibit? Is f(x) = - 1 an even...

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Q: A boat with its load weighs 1,328 N. If the force exerted upon the boat by the motor in the directio...

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Q: би Compute Rw for R(u, v, w) = u + w (Give an exact answer. Use symbolic notation and fractions wher...

A: Here, the given function is: R(u,v,w)=6uv+w

Q: (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimu...

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Q: e 9. cos(x) dx - " sin(x) dx. Evoluate

A: Formula:∫ cos x dx = sin x + C∫ sin x dx = - cos x + C

Q: Directions: solve the following. 1) what is the derivative of 6x4-7x3 + 5x2?

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the limi...

A: limx→∞-4x12+2xApply L-Hospital Rulelimx→∞-42=-2limx→∞-4x12+2x=-2

Q: 2.2

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Q: Find the tangent line approximation T to the graph of f at the given point. Use this linear approxim...

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Q: An employee wants to invest $60,000 in a pension plan. One investment offers 5% compounded semiannua...

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Q: The domain of the function f(x) = 3* – 4 is (Type your answer in interval notation.) The range of th...

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Q: 2, If fCx)=xInCx²+), find the ea uation for t4e tan9ent 1ine to fCx) at x= 3.Hint: Remember the tang...

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Q: Given: 1. v = 2i – 4j + v5 k, u = -2i + 4j – V5 k 2. v=i+k, u = 5i + 12j 3 Find: a. u·v, [v|, [u| b....

A: Given v=2i-4j+5k & u=-2i+4j-5k

Q: Find the length of the curve y=x^3/2 from the point (1,1) to the point (4,8).

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Q: Let a = ci +jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four ...

A: Given :a=ci+jb=3i+4jangle =π6

Q: Graph the piecewise-defined function. x-3 if xs5 f(x) = . 2 if x>5 Choose the correct graph. O A. O ...

A: Here we have to graph the piecewise-defined function. f(x)={x-3, if x≤5      2, if x>5

Q: Evaluate the following integrals: Show CLEAN AND CLEAR solutions also indicate what rules/formulas y...

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Q: 1 Σ (n +2)*¾ n=1

A: Find your answer below 

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i+ 2j + 4k; w = 2i + 6k + 6...

A: Let's find. 

Q: Find the absolute maximum and absolute minimum values of the function f(æ) = #³ – 12æ + 4, on the in...

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Q: dy find dx

A: The given function,   ex+y=xy2

Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

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Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is: x-a...