1) 土七 COS ant5 Sinant3 an: 2then fird the m lim 3) D. Ehmit does not exist

Q: 5. Determine the slope of the tangent at point (1,5) on the graph of f(x) = (9 – x²)} + 1.

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Q: f (x) = x(x + 3)² %3D , Find a so that f'( a ) = 0. Hint. Use the product rule. there are two soluti...

A: The given function,       f(x)=xx+32

Q: 1. lim(2x + 4) x-3

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: Consider the points A(1, –3, 4), B(2, –5, 2), C'(-1, –4, 2), and D(2,3, –5). (a) Find the volume of ...

A: Explained below

Q: DO NOT include spaces in between characters. TYpe your answers in the following order and format: a=...

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Q: If the vector field F = (sinx + (7 + c)xy, (c + 1)x² – e') is conservative, then c=

A: Given

Q: 1. Below is the graph of f (x) = |x|. Using the left side of the function with the equation y =- x, ...

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Q: Tind the vectors that satisfy the stated conditions. VOTE: Enter the exact answers using the provide...

A: We will find the vectors satisfying the above conditions. 

Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A. Continu...

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Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: inbabitonts, thanks to A rumor, begins to spreaol in a the fart Fhat a member of the population heav...

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Q: e2 6. - dx -Find 1

A:

Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128, ....

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 csc*(x) cot (x) dx

A: We will use simple Integration formulae to solve this Integral.

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

A: First find the magnitude of the vector then divide that vector with magnitude  to get the unit vecto...

Q: 2- 3x +8 2-X2C

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Q: 3. AQRS ASDQ Solve for the value of x 3x-2 D.

A: Given

Q: Find the volumes of the solids generated by revolving the region between y= 4x and y = about a) the ...

A: Solved below

Q: Determine the Riemann sum that represents the illustration below. The function is lx) = 2x. Y 6. 4- ...

A: Explanation of the answer is as follows

Q: 2. Express in indicated derivative in terms of the function F(r). Assume that F is differentiable. D...

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Q: If f(x) = f (x) „sin(x) e Then f'(0) = ?

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Q: The sum of the entries in row 10 of Pascal's Triangle is: O 211 O 102 210 10 acer

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Q: The given point P is loc the angle e, also sine, V3 1) P Quad: sin 0: cos e: tan 0:

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Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: QIAnswer the following equation ,your answer should be like :(x=4)(y=9)(z=6)? * .write it in the sho...

A:

Q: find eigen value of matrix A -2 A = 2. -4 2.

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Q: 6 -dx Find 1

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Q: Using an appropriate substitution, 3 the integral S dx equals: V1-4(x-1)2 3 sin-1(2x – 2) + C sin-1(...

A: We can find the integration as below using proper substitution.

Q: for power substitution method, next step is * For ai-(r+3)} dr f - 4u²dr 4u²dr -S (u*)& – (u*)* (u*)...

A: For using power substitution method, to determine the next step for the following integral.∫drr+334-...

Q: 4. * S sec? (4t) (3 – tan(4t))³dt A C 1 (3 - 4 tan (4t))* + C (3 – tan (4t))ª + C 16 - - - - | - В 1...

A: The objective is to find the integration.

Q: ne graph of y =- have a horizontal tangent line? +9

A:

Q: QUESTION 7 Solve the problem. Find the dimensions of the rectangle of largest area that can be inscr...

A: According to bartleby guidelines when student post more than one question then expert must have to a...

Q: 1. f(x)=5x² – 30x 2. f(x) = 2x +12x² +4

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Q: Using the method of substitution, | 2? V9x + 7 dæ = | f(u) du where u = du dx a = , and f(1) =

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Q: Evaluate f'(-2) if f(x) = x* – 5+ x-2 + 4x-4.

A: The detailed solution is given below Thank you 

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i 14j as ad...

A:

Q: 16. 1+ Vx= x +a (16 + x³)ª * =- b(16 + x²)* x=)= + C 17. x* dx :(9x + 49)을-(9x + 49)을 +c V9x + 49 18...

A: As per bartleby guidelines we only give first question answers.

Q: dy using implicit differentiation, for the equation a + y 7 is. Find da

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Q: Find the global maximum of the function f (x) 1+ x? on the interval (-0, 0) Write DNE is there is no...

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Q: Determine whether r{(1+E)*"}.. Converges or diverges.

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Q: y = V1 + t² dt

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Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x + In|x² + 1| + C - x cot-...

A: Topic = Integration

Q: er the following function and express the relationship between a small change in x and the correspon...

A: Topic:- application of derivatives

Q: 5. What value of a does the graph of 1 becomes an ellipse whose major axis is horizontal? 16 A) 04 D...

A: We will find the value of a. 

Q: The values of C, and C, so that y(x) = C, e2* + C, e-2* satisfies the %3D following conditions: y(0)...

A: Here, y(x)=C1e2x+C2e-2x...(1) with the conditions y(0)=1,y'(0)=2

Q: e ( + 4)2 dx = Evaluate the integral if it converges. Enter the exact answer, or enter na if it dive...

A:

Q: If f(a) = 7cot- * +2, then find the value of f(-4) is, 17

A: Given query is to find the derivative and indicated value of x.

Q: Let lim an = a and lim b, = b. Therefore n-00 n-00 an a iii) lim b + 0. b n-00 I|

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Q: Obtain the Laplace transform of the given functions. Simplify answers, whenever possible. Show compl...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: dx -1 x + 1 2.

A: We have to find whether integral diverges or converges