Consider the graph shown in the figure, which gives the velocity of an object moving along a line. Assume time is measured in hours and distance is measured in miles. The areas of three regions bounded by the velocity curve and the t-axis are also given. Complete parts (a) through (e). 5 tos

Q: 5. Rationalize the numerator to evaluate the limit. Be sure to show all your √³+49-7 h³ Q(²) = 0 lim…

A: First of all we will rationalize the numerator then we will apply the limits

Q: Find a formula for each function graphed on the right. a. Select the correct choice below and fill…

A: In this question , we can find equation of the given graph.

Q: 8 A population grows at a rate P'(t) = 200t e where P(t) is the population after t months. a. Find a…

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Q: dz dr sin (r) cos(r) cos (z) sin(z) = 0

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Q: 3 0 -1 0 00 0 0 2 2 -4 1 25 11

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Q: y = c x2

A: Topic = Derivative

Q: 20. Compute the area bounded by the curve y² = 4x and y² = 8x - 8.

A: Let's find area bounded by the curve.

Q: x(x+1) 2x-1 4. y = 5. f(x) 6. y = = J at x = 0.6 1-3x+x3³ x2 1 2 at x = : 0.77 J at x 1 (1+√1-x)²¹…

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Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 6 - 4x + 7x² f(a)…

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Q: Q 19 please

A: Topic: - sequence and series

Q: Jes − 4y = sinh x

A: Given: y''-4y=sinhx

Q: Find the area bounded by the curve y = In x and the lines x = e, x = 2e and x-axis

A: formula used ∫lnx dx=xlnx-x+C

Q: YA 10+ y=5x R y=10 y=x

A: Topic:- application of integration

Q: 10. Find the area bounded by the curve y = 2x² and the lines y = 0, y = x, x = 2.

A: Let's find area bounded by the curve.

Q: A = [3 2 01 00 67 -2, B= -1 2 71 053 006

A:

Q: 1. Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

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Q: 108 45. 765432 1 -1 y Chapter 2 Differentia f + 1 2 3 4 5 6 7 X 46. yd.

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Q: 1) h(n) = 3n; Find h(6)

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Q: 45. 7 - 65432 1 + y J H f +++x 1234567

A:

Q: Find the average rage of change of f(x)=x^2+3 1.From 3 to 5 2.From 0 to 2 3. From 1 to 4

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Q: (c) lim 818 75-8 2x³ +3

A: Topic = Limits

Q: 7. Find the area under the first arch of the curve y = x sinx.

A: I have stated the used formulas in the solution

Q: Q(x)=5x^2-19x-4/2x^2-7x-4 Find the vertical, horizontal, and oblique asymptotes?

A: We have given  Q(x)= (5x2-19x-4)/(2x2-7x-4)

Q: Calculate r' (t) and T(t), where r(t) = (2t - 7,2 – 5t, 3 + 5t). r' (t) = (2 T(t) = -5 5

A:

Q: Solve the homogeneous equation (x^2+y^2)dx+2xydy=0

A: see below the answer and explanation

Q: Let f(x)=3x+8, x₁ = 2, X₂ = 5, x3 = 8, x4 = 11, and Ax=3. 4 (8) Find Σ 1 (x) Δ.Χ. i=1 (b) The sum in…

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Q: 2. 2x²y+3ycosx-2c = 0 3. 5y2 + x³y = cx

A: In each of the following, to eliminate the arbitrary constants. 2 2x2y+3y cos x-2c=03 5y2+x3y=cx

Q: A particle moves on a circle of radius 5 cm, centered at the origin, in the xy-plane (x and y…

A: Initial position ( 0 , 5 ) which means particle has already covered π2

Q: 6) g(n)= n² + 2; Find g(3)

A: Solve the given function

Q: 3. If x³y-xy³ = 2 find y' and y" at x=1.

A: Given data:- The given value of x is 1. x3y-xy3=2    ----(1)

Q: V The size of a balloon is changing with respect to time, such that the volume is given by V(t),…

A:

Q: You are driving your car away from home on a road trip. After 3 ​hours, you are 190 miles away. If…

A: We wil find the required.

Q: For questions 9-10, use the following function: (z+1 z≤0 sinz r>0 9. lim f(2)= 2-10- (A.) ∞ (B.)…

A: Topic:- calculus  Note :- as per our guideline if more than three subparts posted than only first…

Q: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which…

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Q: d dx [f(5x)] = x², then f'(x) = ?

A: Derivative

Q: (x)=3x^3/x^4-81 Find the vertical, horizontal and oblique asymptotes? What are asymptotes? And how…

A:

Q: Q9 B) absolute can be tested by: (A) geometric series test (B) Ratio Test (C)p-series (D) Root Test…

A: convergence of the series ∑k=1∞5k!2k is tested by which method.

Q: 4. y = x(x+1) 2x-1 at x = = 0.6

A: We can find the slope as below.

Q: 05 Q6 A) Which of the following seri 1) C) 1 D) diverge D) 1

A: We need to find summation.

Q: Make a table of values for the equation. y = 1 + √x X 0 1 2 4 9 16 y Sketch a graph of the equation.

A: Consider the equation  y=1+x

Q: 58. (ƒ ○ g)(x) = x¹ + 6x² + 20

A:

Q: Evaluate the integrals (3) xlnxdx

A: We need to evaluate the following integral ∫xlnxdx

Q: 5-6 The graph of a function f is given. (a) At what numbers a does lim, f(x) not exist? (b) At what…

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Q: 4. For each of the following polynomial equations, determine if x = 1 is a root. (c) 3x4x²+2x-4 = 0…

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Q: Determine whether the given differential equation is linear or nonlinear, and give its order.…

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Q: 15. y = x + c₁ e* + C₂ e¯*.

A: We need to remove arbitrary constants.

Q: K For the given functions, a. write a formula for fog and g of and find the b. domain and c. range…

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Q: -3x тебезх GS: y = (₁ e ²x DE y + y' - 64=0

A:

Q: Consider the vector function r(t) = (t, t¹, t³) Compute r' (t) = (1, 4t³, 8t7 3 T(1) = ( r' (t) = (…

A: Recall:  T(t)=r'(t)r'(t)

Q: оо 77 -2 2 O 0 sin x dx

A: To evaluate the integral.