Y thenumber of Limits of. E -63? gontric k series Skz Ak=7 B に2 6 Ok26 No if the above.

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A: Let's find.

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Q: a) | f(x)dx = b) | f(x)dx = c) 5f(x)dx =

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Q: A. Given: lim f(x)=-9 lim g(x)= 2 2. lim[3h(x)–6] 4. lim[f(x)- g(x)+ h(x}] lim h(x)=4 x→8 x→8 x→8 1.…

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Q: Q1: Using the Laplace transforms we found in class, together with linearity, com- pute the following…

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A: Given and Basic information:R=Rn, Revenue earned by selling 'n' tiresdollarsC=Cn, total cost of…

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Q: Exercise 1.11: For each of the following differential equations, identify its order, degree, type…

A: Highest order derivative in Differential equation is called order of differential equation .  Degree…

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Q: nd the component form and magnitude of the vector v with the given initial and terminal points. Then…

A: We can solve this as follows:

Q: dx 7. S; x³ Vx2-4

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Q: Consider the following function. 1 f(x) : X. Find its average rate of change over the interval [4,…

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Q: Consider the function y= >x3 – 9x + 4. a. Sketch the graph of y= x3 – 9x + 4. b. Find and describe…

A: Let's find.

Q: d?y +5xy = 0 dx +(sin x) 2 dy +2 dx dr3 = 1 dx2 O Option 1 O Option 2 d²y +3y dy dy dx? +y = 5x dy…

A:

Q: 10. xy' + 2y = 6x²/y

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Q: Find r'(t), r'"(t), and r'(t) · r"(E). r(t) = (t2 + 7t)i – 2t?j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A:

Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = 3(-4,3) %3D (a) u v (b) (c) ||v||2 (d) (u…

A: The solution is given below

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Q: Use the Quotient Rule to find the derivative of the function. See Examples 4 and 6. 6t? - 5 f(t) :…

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Q: 2. t23* dt

A: The given problem is solved below in detail.

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Q: Use the General Power Rule to find the derivative of the function. 4 g(x) (5x² + 3x)7

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Q: Find the direction cosines and angles of u and show that cos? a + cos? B + cos? y - 1. (Round your…

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Q: Let C = (1,–3, 2) and D = (-1, 2, – 3, ). Find the following. (a) The cosine of the angle between D…

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Q: Give the curve r = 3 cos 0 a) Find the points on the given curve r = 3 cos 0 where the tangent line…

A: Explanation of the answer is as follows

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Q: 1. Consider the graph of the function f(x) = 1.a. Is the function f (x) continuous at x = 1? Justify…

A: We need to find if the function is continuous or not in given interval.

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A: Given: The graph shows the estimated number of milligrams of a pain medication M in the bloodstream…

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Q: (Choose from: a. Disk Method, b.Washer Method, c. Shell Method, d. Disk and Washer, e. Disk and…

A: 1. The bounded region is as follows: In this case the rotation is about x-axis, so, washer method…

Q: ||r'(t) × r"(t)|| ||r(t)| Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk…

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: y ~ y=x+1 x=4 y=0

A: Given: Now find the x-intercept of the line y=x+1. y=x+10=x+1x=-1x,y=-1,0 Now taking an elementary…

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Q: dx x2 + 6x + 25

A: This question is based on definite integral.

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A: Let's find.

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A: We need to integrate given function.

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Q: п+1 Given that 0.47199 determine the value of ) n +1 n3 n=3 n3 n=5

A: Given: ∑n=3∞ n+1n3 =0.47199 To evaluate: ∑n=5∞ n+1n3

Q: The function f(x) is continuous everywhere. FALSE O TRUE 3.

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Q: 6. (9x-6x'+7x²-Sx+15 dx 3x

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Q: 8. xy +y2 - x2y' 0

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Q: nd an equation of the tangent line to the graph of the function at the given point. 3x +5 f(x) = x -…

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Q: Find f'"'(x), the third derivative of f, and f (x), the fourth derivative of f. f(x) = 7x* + 2x³ +…

A: In the original solution it had been shown that:  f4x=ddxf'''x=ddx168x+12=1681+0=168

Q: Evaluate the line integral fe 3y dx + z? dy + (25 - x) dz over the quarter of the circle of radius 5…

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Q: Find u · v, u · u, ||v||, (u · v)v, and u · (3v). = (3, 12), v = (-4, 3) (a) u• v (b) u•u (c) ||v||2…

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Q: 5x(V1 + x-) dx

A: This question can be solved using the concept of integration by substitution.