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A: We have to choose the correct option according to the given information

Q: The resulting integral of sin- -cos-sin do has the form -F(e) +C. What should be the value of e to m...

A: To evaluate the value of theta such that  F(theta)=0  And F(theta) is obtained by integrating the gi...

Q: Question 11 What sin A du du © 2 -2 / sin(u)du

A: To find integrable form of given integral. Using substitution by trigonometry.

Q: Question 8 d'y =6-9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation o...

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Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

A:

Q: /(2- sec?r) eln)gsec'x (2– What should be the value of A for -dx to be integrable using the formula ...

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Q: dx Evaluate 3x – 12 O 1 + 00 8 8

A: Solution is here

Q: If F(X) is an antiderivative of x2 +x', then what is the value of F(1) - F-1)? (А) -2 В) -1 D) з

A: Given: F(x)=∫x-2+x-1dx So, by the Fundamenetal theorem of calculuas: F(1)-F(-1)=∫-11x-2+x-1dx Now, i...

Q: The slope of the tangent line at any point (x, y) on a curve is If the point (9, 3) is on the curve,...

A: Given,            The slope of the tangent line at any point x,y on a curve is 2x.            The po...

Q: dx For (x+x³)(x Tan-!x +1) = In[F(x)]+ C• What is f(/3) if C = 0? 3 V3 6 + 3 +

A: Given:     ∫dxx+x3xTan-1x+1=lnFx+C    =∫1x+x3xTan-1x+1dx substitute u=tan-1x →du=1x2+1dx     =∫cot2u...

Q: 10. a d The general antiderivative of (3x2 – 4) 2x2 can be written as -x" -x" + x" + C. What is the ...

A: On solving this we will get

Q: Question 17 cos2x – sin2x cos2x dx%3D 3 -F(x)+c• What is F(x)? For cosx - sinx O (cscx – secx)3 есх ...

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Q: The slope of the tangent line at any point (x, y) on a curve is If the point (9, 3) is on the curve,...

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Q: Find the area of the region bounded by the curve y2-4x and the lines x = 1 and x = 4. O 21/2 square ...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

A: The given curve is y2=4x and lines x=2 and x=4. From the given information,

Q: CURRENT OBJECTIVE Find a higher-order derivative of a sine or cosine function Question d36 Find (-7 ...

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Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

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Q: What is the integrable form of dr? ex – e -* e u²) 2 du 2 du du

A: We have to find the integral

Q: I. Solve the following: 1. Given: y 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x = 144, find y"

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: cos2r – sin2x cos2x F(x) +C• What is Fx)? For dx= 3 cosx - sinx

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Q: In (n/e) S(2- sec?x) m® sec³x -dx What should be the value of A for to be integrable using the formu...

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Q: d?y =6– 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve fo...

A: I am attaching image so that you understand each and every step.

Q: cos2x – sin2x cos2x - dr = -F(x)+C. What is Fx)? 19. For cosx – sinx 3 A. (cscr - secr)3 2 2 sinx - ...

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Q: What is the integrable form of dx? u² – 1) ² du – 1) du -u²) ² du 1 du

A: Formula : d/dx (ex ) = ex We can solve the given integral by substituting method.

Q: 10 -dx may be writen as Ala secB" + tanB"| + C where A, B, and C are constants not equal to zero. Ev...

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Q: The general antiderivative of (3x2- 4)2x² can be written as x" a m --x"+-xP +C. b n What is the valu...

A: We will find the general anti derivative. 

Q: 25. For the function f(x) = 45x3 - 3x5, determine the interval(s) for which f(x) decreases. O (3, 3)...

A: We will solve this question by  differentiating f(x) and then finding the intervals for which the fu...

Q: The integral of (10*/ cos 10*)dx may be written as A In sec B* + tan B*|+ C. Where A, B, and C are c...

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Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 6 square units O 4 square u...

A: Given; y=1-19x2, y=0 (x-axis)   From the given curves the bounded region is as shown below; Now tak...

Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive...

A: we have to use the newtons equation of motion here. let us assume that the initial speed of car be u...

Q: ·sec-x)" sec'x 23. What should be the value of A for -dx to be integrable using the formula | u" du?...

A: the integration of the integral is (2-sec2x) eln(pi/e)sec3x/Sec(3A-x).

Q: Given Cost and Revenue functions C(q)=q3−8q2+52q+5000 and R(q)=−3q2+2500q​, what quantity minimizes ...

A: Minimize marginal cost

Q: S What is the integrable form of / sin-cos-sino do? 2 2 (A) 1-u? du B) sinu du -2 V u2-1 du O 2 cosu...

A: We have given integral  I=∫sinθ2cosθ2sinθdθ Using formula  sinθ=sinθ2cosθ2 I=12∫sinθsinθdθ As, sin2θ...

Q: dx - = In[F(x)]+C•What is f(/3) For if C = 0? (x+x³) (x Tan-!x+ 1)

A: A detailed solution is given below

Q: 4-z4 Find dz where I is a circle z-2=5. (z-4) 4 - 96 Tti - 32 T 32 Ti 96 Ti A Moving to another ques...

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Q: Question 13 Find the area of the region bounded by the curve y=1- and the x-axis. 6. A 4 square unit...

A: A detailed solution is given below

Q: cos2r- sin2x cos21 =-F(x)+C What is Fx)? =xp For COSX – sinư A 2. --cos 'x- cosT+-sin't 3 cos'x sinx...

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

Q: Question 17 10 dx may be written as Aln secB"+ tanB* + C. where A, B, and C are constants not equal ...

A: Let's find. 

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: What is the integrable form of sin-cos-sino de? 2 (A -2 | sinu du B / Ju?- 1 du 2 /1-u² du D cosu du

A: To find out the correct integrable form. 

Q: hat is the integrable form of J JcoE e sin sin(0) do cos 1– u² du sin 2 – 1 du s(u) du

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Q: -cos-sino de has the form sin 2 2 -F(0) +C. What should The resulting integral of 4 be the value of ...

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Q: [(2-sec²x) elnate sec³x dr What should be the value of A for to be integrable using the formula 'du ...

A: Let's find. 

Q: Use the Trapezoidal Rule to approximate the area under the curve f(x) = 4x2 – x on the interval [2, ...

A: The given function is; f(x)=4x2-x.

Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + Sl- SI- STE SE

A: I am attaching image so that you understand each and every step.

Q: Find the equation of the circle with center at (4, -1) and passing through the point (-2, 2). * 4 po...

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Q: b -"+xP +C. What is the value of the sum a+b+d+m+n+p? a d The general antiderivative of (3,2–4)2,2 c...

A: We know that power rule of integration is given as-  Integration of xn is xn+1/n+1.     Here i attac...

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/62 , where k is a p...

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Q: and the 24. Find the area of the region bounded by the curve y=1- 9. X-аxis. A. 6 square units В. о ...

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