Write as a single function of a single angle. tan 145° tan 85° - = [?]([_]°) 1+tan 145°. tan 85° Enter Help

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

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

A: We have to find the value of f(1) -16B where it is given that  ∫x3lnxdx = f(x){(1/4)lnx - B }+C    @…

Q: Evaluate A B e Stam" (x) sec³x dx- -tan (m+3)(x) + m+3 1 m+2 -tan (m + 2)(x) + m −tan (m + 1)(x) — —…

A: Solved below.

Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

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Q: Find 1- y dy y+2 using the substitutionu +5= √√y+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 need to choose correct option.

Q: (-2-x)²+5 if x ‡ - 3 = 4x + 17 if x = -3 the following limits. Enter "DNE" if the limit does not…

A: The given function is: f(x)=(-2-x)2+5 if x≠-34x+17 if x=-3

Q: ·S= Evaluate 3x5 3x4+6x³-3x² - 6x + In x² - 4x 2 x² - 4x 2 x²-2x-In x² - 2x 2 -dx using method of…

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Q: y dy Find 13 using the substitution +5=√y+2. √y+2 A ²/ (√x+2-5) (5√/y+2-y+24) + C 3 B (√9+2-5)…

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Q: Evaluate the following. 1. [(sec 3x+cos3x)² dx

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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: Given

Q: 12. Evaluatesin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after…

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

Q: Find the are bounded by the trigonometric curves y=sinx and y=cosx from x = pi/4 to x = 5pi/4

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Q: What is the dy/dx of y = 3sin²x cos x ? O 3 sin x(sin²x - 2cos²x) O-3 sin x(sin²x - 2cos²x) O 3 sin…

A: Given: y=3sin2⁡xcos⁡x To find: dydx We know that ddxcosx = -sinx ; ddxsinx = cosx

Q: Find ·S= y dy 0(√3+2-5) (5√3+2-1+24)+C 0² (√y+2-5)(-5√/y+2+y+21)+C 03/(√3+2-5) (5√y+2+y+21) +C…

A: On solving this we will get

Q: 17. Evaluate A. B. C. C 3x4+6x³3x² - 6x x² - 4x 2 x²-2x 2 x² - 4x + In 2 x²-2x-In + In -dx, using…

A: We have to calculate the given indefinite integral according to the given information

Q: Exercises To Solve [No.5] 6 "Cosx dx. Sin x+25inx+5

A: See the details solution in below

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

A: Solution of the problem as follows

Q: Find the area bounded by the curve y=- 16 (A) 16 square units B) 10 square units 8 square units D 4…

A: If y=f(x) and y=g(x) are two continuous function on a,b and f(x)≥g(x) on a,b , then area bounded by…

Q: QUESTION 3 To evaluate x²cosx dx' x’sinx+2x cost – 2 x’sinx − 2x cosx+2 x’sinx – 2x cosx – 2 x’sinx…

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Q: What is the value of f(1) - 16B in √ x³ Inx dx = f(x) ( (1/4) Inx - B) + C? О о O 3 02 01

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Q: find the value of k that will make the function continuous. f(x)= { 2        ,if x <-4         { -x…

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Q: dx 3-2x-x²

A: We need to solve : ∫-10dx3-2x-x2

Q: What is the value of 1)- 168 in x² Inx dir = f(x) ( (1/4) Inx-8) + C? 03

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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…

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Q: What is the derivative of the following? sin(t) d dt f 117 da cos(t) s(t) 4-sin² (t) 1 4 — sin² (t)…

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Q: x dx ·S- can be transformed to which of the following using trigonometric substitution? x²+√√x²-1-1…

A: Trigonometric substitution

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

A: Explained below

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: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…

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Q: Consider fx sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? (A) 1/4 B…

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

A: We have to determine above integral

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 radius of inner circle

Q: QUESTION 1 Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?…

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

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Q: 25

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Q: For x 1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: 4u -du 4-u U…

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Q: By method of Integration by Partial Fractions, (x³ +5x²+6) dx (x²–2x+5)² A True B) False A B (2x-2)…

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

A: We have to find solutions

Q: X-1 (x - 2)² 5. S dx

A: We have to evaluate the integral.

Q: dx 3-2x-x²

A: Evaluate the following

Q: QUESTION 4 Evaluate › [ sin(lnx) dx' Integration by parts will be used repeatedly. What is the…

A: Integration by parts

Q: S Evaluate: A None 1 dx (x-3)2 (в B D -I (E) ∞ (does not exist)

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Q: The integral O [se Ss S S sec²0 de 1+ tane sece tane de sece - 1 O x dx x²+√√x²-1-1 sine de 1+ cose…

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Q: 3 Find the area bounded by the curve y=-x3- 16 A) 8 square units (B) 10 square units C 4 square…

A: The region is bounded by the curves y=116x3-34x2+3x and the line y=x

Q: What should be the shape of an oval field complying to a given circumference, if it is to have a…

A: Given :The shape of an oval field complying to a given circumference, if it is to have a maximum…

Q: Find S- y dy using the substitution u +5=√y+2. y+2 (A) (√3+2-5) (5√/F+2-1+24) +C 3 B…

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Q: If s t5 - 10t², when will the acceleration d² s dt² O2 seconds O 0.5 second O 1.5 seconds 1 second…

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

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Q: Find the value of k that will make the function f 2 if x<-4 . f(x)= -x+3k, if x2-4 Blank 1 Blank 1…

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