9) ſ cos“ x sin x dx X

Q: 3. S 2r dr

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Q: Differential equation dy - 3x Initial conditions y=4 when x=9 1. dx %3D

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: Evaluate the integral AP R = [0, 2] x [2, 4] × [-1, 1]. (y + z)2

A: As per the instruction, we will be solving only the first one.     ∫∫∫xy+z2dV=∫-11∫24∫02xy+z2dxdydz=...

Q: 7. The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylin...

A: let r be the radius of cylinder    h be the height of cylindergiven drdt = 1 mhrdhdt = -4 mhrwhen r ...

Q: I A man buys a motorcycle. There will be no maintenance cost the first year as the motor cycle is so...

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Q: Consider the following sequence: +00 {a, } = {n – n² },, Use an+1 – a, to show that the given sequen...

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Q: Below is the graph of y=3^x Translate it to become the graph of y=3^x+4-2 provide the points and h...

A: Given: -  Below is the graph of y=3x Translate it to become the graph of y=3x+4-2 To translate: - P...

Q: (a) Sketch the region bounded by the graphs of y = x + 1, y = x2 – 1, x = 1, and x = 2. (b) Use the ...

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Q: Evaluate:S Ln x dx

A: Solving the problem by finding the value of integration.

Q: Find the distance between the points using the following methods. (3, 1),    (6, 9) (a) the Distanc...

A: Distance between two points (a,b)(c,d) is given by      L = d-b2+c-a2given points(3,1)(6,9)a.     L ...

Q: (a) Let p and q be statements. Use only ONE suitable method throughout to determine preciscly whethe...

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Q: Evaluate the Integral dx 7. S xVx+6x ANSWER: 1 7. ÷ In 3 + C x+6

A: Given: I=∫dxxx+6x   ...1   We know that; ∫1ax+bdx=1alnax+b+C

Q: If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then ...

A:  Given:         V=45001-150t2 0≤t≤50     the rate at which water is draining is given by      dVdt=d...

Q: Suppose that f(x) = = (1 – vx) and g(x) = (x + 2). Find f[f (x) + g(x)] dx. %3D

A: We need to find integral value.

Q: What is the area of the region between the curve y = 3x² and the x -axis on the interval [O, b]

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Q: 8. S Ve3x dx A 3 3 2x e3* + C 2. 2 e2* + C 3 B e 3x. e* + C

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Q: *Find the equation/s of the tangent line/s to the curve y = x* - 6x and perpendicular to the line x-...

A: dydx =limh→0  f(x+h)-f(x)hdydx =limh→0   (x+h)4-6(x+h)-x4+6xhdydx =limh→0   x4+4x3h+6x2h2+4xh3+h4-6x...

Q: 2. Find frxz for f(x, y,z)= z² e³xy

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Q: et dx Ve²x+49

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Q: Evaluate the following. 1. lim (2x – 11) x-4 x+4 2. lim x-2 l(x-1)(x+2),

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Q: The graph of a function f that satisfies the hypothesis of the Mean Value Theorem is shown. a) The v...

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Q: D. Eliminate the arbitrary constant C. 6. y=C,e6+3C,e*

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Q: Evaluate the integral using formula was (from the 1page differentiation & integration formula) by le...

A: Hint : 1. Use substitution : ex = t. This integral will turn into a standard Integral.

Q: A: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can wri...

A: The domain of a function is the set of values of input for which the function is defined.

Q: Question 12 Provide an appropriate response. Is 5x4 dx =x5? Explain your answer. Use the editor to f...

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Q: (3xy – y?)dx + x(x – y)dy = 0

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Q: A particle moves counterclockwise around the ellipse with equation 9x? + 16y² = 25. a) At what rate ...

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Q: 4. If two resistors are connected in parallel, then the total resistance R, measured in ohms is give...

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Q: The Maclaurin series of the function f(z) = 3z'e-9 can be written as f(x) = Cn" n=0 where the first ...

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Q: The factorial of a positive integer n, denoted n!, is equal to the product of all integers between 1...

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Q: 1 Draw the region over which we are integrating, change the order of integration (that is, write thi...

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Q: (3y- 2 )cy y´+2y+17

A: We have to evaluate value of given indefinite Integration.

Q: Evaluate the Integral dz 1. S z²+4z ANSWER: 1. - In + C 4 |z+4

A:

Q: 10, The ventices of A ABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle is A ABC? A. a...

A: Here, the triangle with the given vertices is:

Q: Prove or disprove without using horizontal line test whether the following function is onc-to- one a...

A: We have to check weather the function is one-to-one/onto

Q: A psychologist contends that the number of facts of a certain type that are remembered after t hours...

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Q: A company's demand function of a product is given by : 10) p- 150 - 0.002 x ,where p is the price pe...

A: The revenue function, R(x) = x P(x), where P(x) is the demand function. R'(x)  is the rate of change...

Q: If fó f(x)dx = n , f, 79(x) dx : 7, and g(x) dx = 2, what is the value of S, g(x) dx?

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Q: Evaluate the slope of the function: a. f(x) =x^2 + x - 2                              at x = -1.5 b...

A: Here we have to find the slope of the given different functions.  

Q: 9. Use the table below to answer the question. School Population By Gender Males Females Total Fresh...

A: topic - probability note : as per bartleby guidelines, we are supposed to answer only first question...

Q: Watch the video on integrating an inverse trig function using trig substitution e before answering t...

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Q: The function f(x) = xvx – x² defined on the closed domain [0, 0.9] has an absolute minimum value of ...

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Q: V lim x² – 9 X→3 x² – 4x + 3

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Q: 9. dx 1+ e* A - In le-* |+ C - In le * + 11 + C B In le*|+ C B D In le-* + 1|+ C

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Q: |X - 2 if x 0 (a) lim f(x); (b) lim f(x); (c) lim f(x) X0 X0*

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Q: dx '1 x[13+ln(x²)]

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Let's find. 

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) n = 4, c = 4 Pa(x) =

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Q: f (x) = 2x² – x + 6 -

A: The given function,   f(x)=2x2-x+6