5. If f(x) = √√√cos(t). t² dt, then f'(x) is (a) (b) (c) (d) (e) cos(x) x² + 1 cos(x) x² + C . sin(x) 3 √sin(x). + C cos(x) x² . W

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A: Our Aim is to evluate the limit of the expression given below:-limx→03ax2-4bcx3-2m-(i)

Q: Determine the g" ty T solution 2 the of given sin falt; y/o) = 10 y 10) = 0 77

A: The given differential equation is; y''+y=sqrt(2) Sin(sqrt(2)t), y(0)=10, y'(0)=0.

Q: 1. See the attached image for question #1 and answer it  2. What is the degree of N?   a. 0 b. 1…

A: Here is the solution:

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A:

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A: Concept: The surface area of the revolution about y-axis over the interval a≤x≤b S.A=∫ab2πx1+dydx2dx

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A:

Q: Evaluate the limit using the appropriate properties of limits. lim x → ∞  6x2 − x + 1 4x2 + 5x − 1

A:

Q: A company supplies a product according to the pricing function, p(x)=0.79x+47px=0.79x+47. The…

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Q: La e* dx 3-2e*

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 12.   Use substitution to convert the integral to an integral of rational functions. Then use…

A:

Q: 1. Given that lim f(x) = 4 x-2 lim g(x) = -2 x12 find the limits that exist. If the limit does not…

A: Given limx→2fx=4, limx→2gx=-2 and limx→2hx=0

Q: Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour…

A: NOTE: Refresh your page if you can't see any equations. . t 1 1.5 2 2.5 3 C 0.34 0.26 0.2 0.14…

Q: A={0,1,2} B=(2,0,1} C={0} D={2} In each pair of sets, state the relationship on the space provided…

A:

Q: Sketch the graph of the given piecewise-defined function. Identify its domain and range.          {…

A:

Q: Use the graph of the given function f to determine lim f(x) at the indicated value of a, if it…

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Q: b. fr st κυω x * y των α 0 0 Ο 0 Ο Ο b 0 Ο 0 c

A:

Q: The table shows the marriage rates per 1000 population for selected years since 1960. (A) Let x…

A: Given Marriages per 1000 population Date Marriages 1960 8.2 1970 10 1980 10.3 1990 9.6…

Q: 7.    Evaluate the integral, which has irreducible quadratic factors. 7 (x − 7)(x2 + 2x + 9)  dx…

A: Given  ∫(x-7)(x2+2x+9)dx

Q: 1 Find the first five terms for each of the following recursive sequences. a u₁= -4u, u₁ = 1 -2 U₁ =…

A:

Q: 1. Find d for the following implicit function: cos([y(x)]²+ 1) = 2x. Note: y(x) means that y is a…

A: To find out the derivative dydx.

Q: Determine the solution of the following first-order separable equation: dy 2xy dx = 1+ y²

A: Our Aim is to determine the solution of the following first-order separableequation given…

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A: Given: f(x)=3x2-1   at  x=1

Q: Find f'(x) using the derivative rules. 1. f(x) = 4x² + 2x - 3

A: f(x)=x2x-4

Q: Determine whether the function shown is continuous over the interval (-6,6). Is the given function…

A: To write down that the function is continuous or not in the interval.

Q: Example 6: Solve (4x²y³ − 5y4 + 2xy5 − x¹)dx + (4x³y² - 20xy³ + 5x²y4+ 2y)dy = 0 The general…

A:

Q: lim n→∞ n ((n + 1)(2n + 1) − 2) 2n³ 1.

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 6x + e…

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

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Q: Differentiate 2ax-bxy²-cx-e²x + asinx - bcosy are constants. = 5mx y +6nxy, where a, b, c, m and n

A: Solution is given below:

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A: We need to find the expression.

Q: Evaluate the integral when x > 0 Answer: [n(x² + + 15x +36) dx.

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Q: Evaluate the integrals -1 (5) Jsin sin xdx

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Q: When doing composite functions, if I have a problem that says f(x)=x/x-5 and g(x)=-3/x/ How do I…

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Q: s(x) = − 2/x-1 r(x) = 2x+8/-8x+4 s(x) = 2x − 4/x2 + x − 2 r(x) = 3x2 + 6/x2 − 2x − 3

A: We have to find the value of domain and range of the given functions.

Q: If student 10 is not selected, then student 5 should be selected how can I represent this constrain…

A: Given If student 10 is not selected, then student 5 should be selected

Q: Find the limit of the function a. as x→∞o and b. as x→→∞. g(x) = a. lim X→∞ b. lim 12 13+ (1/x) 12…

A: a)limx→∞1213+(1/x)

Q: 1. Find the DE of each of the following by eliminating the arbitrary constants. y = Get + C₂ cosx +…

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Q: √ (cot² x - 7) dx

A:

Q: Solve the DE: dx +[xcoty-y]dy=0.

A:

Q: g y = Ge=²*² + c₂ e ²x + cze 2x X

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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.

A:

Q: Prob 3 Find the horizontal and vertical curve asymptotes of y = the 2x²+x-1 x²+x-2

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Q: Calculate the average rate of change of the given function over the given interval. Where…

A: To find average rate of change of given interval.

Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 6000 + 10x + 0.15x². (a)…

A: NOTE: Refresh your page if you can't see any equations. . take x=100

Q: Simplify the function algebraically and find the limit. x² + 4x-12 lim 2 x 2 x - 4x + 4 Simplify the…

A:

Q: Find two unit vectors orthogonal to both (2, 5, 1) and (-1, 1, 0). (smaller i-value) (larger…

A: The solution is given below

Q: 2. If / is continuous on (-0, 0), what can you say about its graph?

A: If f is a continuous function on the interval (-∞,∞) then its graph will be→ a smooth uninterrupted…