Prove Jhab sinY Tim lim e-1 lim Sin y ニ ン と Siny S iny

Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

A:  To find the correct substitution  for the given integrals.  

Q: Using an appropriate substitution, gtan-1 x the integral S dx equals: 1+x2 gtan-1x + C 4 tan-1x + C ...

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Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile i...

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Q: Calculate the volume of the solid produced by rotating the region enclosed by about x - 4x – 4y + 4 ...

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Q: Consider the following function and express the relationship between a small change in x and the cor...

A: Given query is to find the differential.

Q: W. A. Mozart’s opera Die Zauberflöte is scheduled to premiere at Theater auf der Wieden. If the stag...

A: This question can be solved using the concept of area under curve.

Q: What the twice amount of 375.00 dollars

A: The objective is to find the twice amount of 375.00 dollars .

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

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

Q: Cansider the function. x) - 3x - 8 And the Inverse function of r. Slep 1 Let y- 3r-8, then solve or ...

A: The given function is; f(x)=3x-8.

Q: proximation at z = 0 to sin(4r) is A + Bx where A is:

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Q: The integral expression: 0c Ocos20 d0 can be evaluated by parts of the form: udv =uv – vdu. The prod...

A: solution is given below.. by integrtion by parts

Q: The integral expression: Ocos 20 d0 can be evaluated by parts of the for The product vdu is: -40+ si...

A: We will solve using integration by parts. 

Q: Question 13 bx a dy dx 0.

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Q: Use differentials to approximate v25.5 .

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Q: Evaluate: sin ycos³ydy. A none of the given choices sin'y sinsy +C B sinty siny -+C sin'y sin3y +C 8...

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Q: Show your work to justify your answers. Write your solutions properly, neatly, and carefully. s) Fin...

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

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Q: Using an appropriate substitution, (cos-1 (x) the integral S dx equals: V1-x2 -e(cos- (x) -elcos-1(-...

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Q: Which of the following best describes the function below? S (x)={* -4 ifx<2 Wr-2 if2sx if 2<.x A. Co...

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Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

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Q: 2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboar...

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Q: Provide an equation of one of the common functions with multiple transformations. For example, f(x) ...

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Q: In exercises 1-23 solve the given differential equations: 11. sec2xdy+csc ydx = 0

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Q: If f(x) = 6 cot-lx+ 8, then find the value of f'(-2) is %3D 6.

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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Q: Participation Activity #8 This is similar to Try It #3 in the OpenStax text. Find the exact value of...

A: see below the answer and figure

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

A: Given query is to find the value of a and b.

Q: Question 6 1 dx 2х + 1)4.

A: Given integral ∫0∞1(2x+1)4 dx

Q: Sa2 – 6x +1, x 6 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) = (i...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: Find the equations of the tangent plane and normal line to the surface with equation 9y? + 9z2 = 22 ...

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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: Find 2x dA over the region R = {(r, y) | 0<z< 4,0 < y < 6} by identifying it as the volume of a soli...

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Q: dy Find using implicit differentiation, for the equation x + y³ = 9 is. dx

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Q: Sketch a graph of the function y = 3x2 – 8x + 5. Use calculus to find: %3D a. increasing and decreas...

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Q: Find the length and width of a rectangle that has perimeter 80 meters and a maximum area.

A: Given: Perimeter of rectangle=80 meters

Q: Consider the following function RX) - 9x - 7 Determine whether the function is even, odd, or neither...

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Q: 14 If f(x) = /* t² dt then f'(x) =

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Q: 1 Evaluate lim (csc x)*- 2 X→- 2

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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: 14 If f(x) : t? dt then f'(x) =

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Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

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Q: You deposit $2000 in an account earning 5% interest compounded continuously. How much will you have ...

A: topic - exponential function

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: Evaluate: S,(3y6 + 8y* – 9y?)dy -2

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Q: find the approyimate Valueof 10/3 2- |(3.01*+(5-98)²+(2.03)?

A: According to guideline I'm solving only Question no. 2 

Q: The derivative of the function y = log2(In(x)) is:

A: We can find the correct answer as below.

Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+ 7k w = i+ 5j + 7k Find the ...

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Q: Compute the area of the surface formed when f(z) 2V1-z between -1 and 0 is rotated arou nd the -axis...

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Q: sin2x de Evaluate:

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Q: Use the formula for the binomial series: m(m–1) ,2 + (1 + x)" = 1+ mx + 2! m(m–1)..-(m-k+1), k! %3D ...

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