Test II. Match the definition in column A to the corresponding theories in column B. Column A Column 8 23.음(6)-0 24(*") = nx*- 25.les (x)] = c/(x) a. Composite Function Derivatives b. Power Rule c. Constant Rule d. Constant Multiple Rule e. Sum Rule f. Chain Rule E Product Rule h. Quotient Rule 27. (f • g)x = f"(9(x))ø'cx)

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

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A: here for slpope we have to differentiate function y =2x3 dy/dx = 6x2 slope at (-5 , -250) dy/dx = 6(...

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A: We will solve the integration. 

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A: To evaluate the integral for the region shown  

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A: Given equation of parabola   f(x)=-4x2-10x+11

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Q: values

A: We will find the limits. 

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A: Vectors with opposite directions have 180° angle between them.x and y components have opposite signs...

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Q: dw 21. : 1-cosw A. -tan w + secw + C B. w – cotw + C C.-cotw – cscw + C_ D. -cscw + tanw + C

A: We can find the integral value as below.

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A: The objective is to use definition of limit to prove the above question.

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A: To find the volume of the region bounded by the curve y=x, x=0, x=6:

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A: To answer the given question about the complex function.

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Q: Find the derivative of g(x)= using the limit definition

A: Solution:we have use formula g'x=limh→0gx+h-gxhgx=1x-1g'x=limh→0gx+h-gxhg'x=limh→01x+h-1-1x-1h=limh→...

Q: help

A: We will find the time interval when particle is moving to the right. 

Q: continuity

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and sal...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

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A: answer of given question is in step 1

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A: Solution:Given geometrical series1+3+9+27+81+ ......1+3+32+33+34+.....∑3nn=0∞

Q: 2 NOT: L..

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Q: DO NOT include spaces in between characters. * 1 Find f' (-) if f(x) 2 Your answer

A: Solution ) f(x)=1/x2 f(x)=x-2 Differentiate with respect to x  f'(x)=-2x-2-1 [d/dx(xn)=nxn-1 ] f'(x)...

Q: 1 Evaluate the following integral. dx X4V9-x2

A: ∫vn dv = vn+1n+1+C

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A: We are asked to find the area between the loops.

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Q: y? = 8x, y = 2x; about y = 4.

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Q: 2. Given: LKEI S LTEI Prove: AKET ATEI Proof: Statements Reasons 1. 1. 2. 2. 3. 3. El EI 4. 4.

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Q: Write the expression as the sine, cosine, or tangent of an angle. sin 50° cos 5° + cos 50° sin 5°

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