Let c be a constant, and let h(x) = sin-¹ (cecx + x). Find h'(x). h'(x) c²eca + c 1-c²e2cx 2cxeca c²eca +1 h'(x) √1-c²e2cx 2cxeca c²ec +c h'(x) √/1-[(x)² + x²] ce c²eca +1 h'(x): √/1-[(ce²x)² +2²] се - x²

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A: solution:-16y2-9x2+36x+96y-36=016y2+96y-9x2-36x-36=0  to make perfect…

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A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

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Q: Let f(x) f'(x) find the values of A = B = C= D = 1 3x4+x3 + x -5 x3 -5.5 - X + 13.2 = (2AB-1 Given…

A: The given function is: f(x)=3x4+x13+x-5x3-x-5.5+13.2

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A: Given function ∫03 (x3-6x) dx This below image is the graph of the function

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A: 1. Row echelon form

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A: Vector

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A: We have to find the average rate of change.

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A: Please see the below picture for detailed solution.

Q: 2. Use geometry to evaluate (2 (2x+6)dx. You need to draw a graph.

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Q: f 4x² csch² x³ dx

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Q: Find the critical points of f(x) = -2x4 + 2x² - 6 and apply the Second Derivative Test (if possible)…

A: Given problem:- Find the critical points of f(x) = -2x² + 2x² - 6 and apply the Second Derivative…

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Q: Find the average rate of change of the function over the given interval. f(t) = 13+ sint a. 0, 플] п…

A: As we know that; The average rate of change between the interval t1≤t≤t2 is given by: Average rate…

Q: lim X- 12x²-x-1 1 8x²+2x 4

A: The given limit,         limx→-1412x2-x-18x2+2x

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Q: use the Root converges. is b. [ n = 1 Please Test to determine Just leave con clusive. whether as it…

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Q: Find the 2nd and 3rd derivative of the function y'= 3x^2y^2 with respect to dy/dx

A: Find the 2nd and 3rd derivative of the function y'=3x2y2with respect to x

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A: Determine if 1781 is divisible by 3, 6, 7, 8, and 9

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A: The limit definition of derivative is: For a function f(x), the  derivative of f(x) is defined as:…

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A: ANSWER: 1

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A: I have stated the used formula and the property in the solution

Q: S dx coth6x

A: We will solve the integral in the following step.

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. 7x² −14+…

A: Taylor Series expansion of 7x2-14+14cosx at x=0

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A: Given: I=∫dxxlnx9ln2x-1   ...(1)   As we know that; ∫1x2+1dx=tan-1x+C

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A: Given: curves y=x^2+10x , y=2x+9 We have to find the area between the curves

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Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: Is it possible to Solve all the points with finding Domain and Range. 1) y sin x y = cos x y= tan x…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

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A: topic - rate of change of function

Q: dx Q3/ Evaluate four of the following integral. c. S TI dx sec²x d. S- e. f(3x + 2)5 dx

A: Topic = Integration

Q: Solution 1 y = (x +3)(2x – 5) y = 2x² + 6x - 5x - 15 y = 2x2 + x - 15 y = 2(2x)2−1+1-0 y' = 4x+1…

A: Please see the below picture for detailed solution.

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Q: Obtain the output for t = 1.22, for the differential equation 2y"(t) + 27y(t) = et + et :y(0) = 0,…

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A: Dot product of A.B is ad+be+cf where A=<a,b,c> and B=<d,e,f>.

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Q: dx ylnx- dy y + 1₂ X 2

A: given :ylnxdxdy=y+1x2