Question 20 x 1/2 For S dx and using the substitution = 1/2, the resulting integral takes the form: Ⓒ du © Ⓒ O / 4u 4-(22) 2 du -du 4u du

Q: "+9y' + 18y = 0

A: Topic:- application of derivatives

Q: 8 - 1V₁-30 √4 3+²+10 dt. Let g(x) = What is g'(x)? +4-3+²+10 322 3x² + 10 3x²+10 √8 O√TA 4+³ 6 2√14…

A: Topic = Derivative

Q: QUESTION 18 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

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Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx. 1 1 A -sin(m-n)x+ - sin(m+n)x]…

A: Solution is here

Q: Find the area bounded by the trigonometric curves O2.828 square units 1.414 square units 3.667…

A: topic - area bounded by curves

Q: QUESTION 6 Suppose m and n are constants and m‡n. Evaluate 1 1 -sin(m-n)x+ -sin (n m-n m+n n+n)x] +…

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Q: S sec²0 do 1+tano seco tane de seco - 1 The integral O 1: S S x dx x²+√√√x²-1-1 coso do 1-sino sino…

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Q: af Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: We have to find the inner radius

Q: At a football match between North Storm and West Stanford there were 71,167 spectators. If 41,109…

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Q: The rose r = 3 cos (50) is shown below: 3 -3 Find the area of the region bounded by one loop of the…

A: We need to find area.

Q: The volume of the solid generated by revolving the region bounded by x2= 4y and y2=4x about y=4 is…

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Q: The volume of the solid generated by revolving the region bounded by and y2=4x about y=4 is to be…

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Q: Evaluate sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after the…

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Q: S- For x 1/2 U 4u U dx and using the substitution -du -du -du 4u 4- (21²) ² -du u=x1/2, the…

A: The objective is to find the correct option.

Q: Suppose a population of fruit flies changes at a rate of g(t) = -4e0.041, in flies per day. If the…

A: Topic:- application of integration

Q: Question 5 The integral - (Α S se ® / B Ⓒ / - (D x dx x²+√√√x²-1-1 *sec²0 de 1+tano sece tane de…

A: We have to find out

Q: QUESTION 16 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

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Q: (x4 - 4x²y²-y4) dx + 4x³ydy = 0; when x = 1, y = 2

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Q: QUESTION 2 What is the value of f(1) - 16B in | x3 Inx dx = f(x) ((1/4) Inx - B) + C? 3 0 1 2

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Q: dx S can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Estimate the slope (slope rise/run) of the tangent line to the curve. N 3 4 6 N D-

A: topic- slope of a line

Q: if a 3 letter word is formed by randomly choosing 3 letters from the word PAINTED, what is the…

A: This question can be solved using the concepts of permutation and combination.

Q: Consider how we can evaluate this integral using u-substitution: x S dx. √2x+1 If we let u = 2x+1,…

A: This question can be solved by integration by substitution.

Q: 36. Let d; denote the hours of daylight and 8; denote the increase in the hours of daylight from day…

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Q: ow that lim (x,y) → (0,0) 4 3x² + y² 5y does not exist.

A: To show that limit does not exist.

Q: Question 4 Evaluate sin (Inx) dx- Integration by parts will be used repeatedly. What is the…

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Q: The integral [₁ face 8 dx S can be transformed to which of the following when trigonometric…

A: We have to solve above integral

Q: Let f(x)=2-3√. Then the expression can be written in the form where A, B, and C are constants.…

A: Solved below.

Q: Convert S.S. dzdydx 3-√√9-**-* Into an integral of spherical coordinates 319-x2

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x→1 x+3 a. Find lim f(x) or…

A: Here is the solution of the given problem. To, solve this problem we use the simple criteria of…

Q: A spherical tank of diameter 4 m is half-full of water (weight density=9800 N/m³). Setup the…

A: solution

Q: Given the following pieces of information: I. a = (4, -2, 3) II. b = (0, 3, -5) Find: a) lal b) ab…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by…

A: Given,The temperature. H. in degrees Celsius, of a cup of coffee placed on the kitchen counter is…

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A: Given:  Region x2=4y             y=x24               y2=4x                y=4x                 y=2x…

Q: Evaluate 3 TIT 4xyzdxydydz O 15 O 15/2 10 о None of the choices

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Q: Sketch the curve of f(x), a function whose first derivative has the following properties. You must…

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Q: Question 3 To evaluate A B D te fx-cost x²cosx dx use integration by parts. What is the expression…

A: The objective is to find the correct option.

Q: Suppose m and n are constants and m #n- Evaluate [ sin(mx) cos(nx) dx -cos (m + n)x] + C 1…

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Q: What is the approximate value of 24 that is found using the tangent line to at x = 16? Round to the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: dx ·S can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

A: Solution is here

Q: Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

Q: ➡pose m and n are constants and m ‡n. Evaluate sin(mx) cos(nx) dx` 1 -cos(m-n)x- -cos(m+n)x] + C n-m…

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Q: The curves C1 and C2 are both symmetric with respect to the polar axis. Each of these curves is…

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Q: S = Consider O 14/3 O 17/6 O 5 0 6 3x5 3x4+6x³3x2 - 6x A B C • √(₁-1² + + + + ² S x-1 x+1 x+m d.…

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Q: ormulas to compute the following antiderivative. x-1 x² -dx.

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Q: 172. Evaluate the definite integral using the Fundamental Theorem of Calculus, Part 2. 3 La+…

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