d'y =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for which dx2

Q: QUESTION 6 cos2x – sin2x cos2x For -dr= -F(x)+C What is F(x)? cosx – sinx 3 cscx – secx) 3 1 (sinx –...

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Q: Question 2 Write a Riemann sum corresponding to the following definite sin x xp- 1+ x5

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Q: e* What is the integrable form of dx? e* – e ¯* A (u²– 1) ² du (в du D

A: The given integral is: I=∫exex-e-xdx=∫exex-1exdx=∫e2xe2x-1dx=∫exe2x-1dx

Q: sinx sinx +x Cosx - e +e The integral / dx may be written as me' ,nsinx + рx + qe^ + C, e sinx where...

A: Given query is to find the integral and value of constants.

Q: cos2x – sin2x cos2x For dr3-F(x) +C. What is F(x)? cosr - sinr 3 2 cos'x+ cosx + A sinx + -sin'x B (...

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Q: Use sigma notation to write the sum. 20 Σ j- 1

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Q: of the following is an improper integral? • In3e COsx dx xe | in(x*+1) dx n(x++1)dr -4 x2-x- 2

A: Improper integrals are characterised as

Q: Find the area bounded by the curve y=4x, the lines x 1 and x=4. sq, units 2. 63 sq. units 56 sq. uni...

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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: dx = In[F(x)]+C. What is F( /3) if C = 0? For (x+x³)(x Tan-!x+1) 1 (A 1 (B 6. 1 V3 1 D + -15

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Q: cos2x – sin2x cos2x For -dr=-F(x) + C- What is F(x)? cosx - sinx 3 1 (A) (sinx – cosx) - B (cscx- se...

A: We have to find the F(x)  First we have calculate the indefinite integral

Q: 1 Find the area of the region bounded by the curve y=1--x² and the x-axis. А 8 square units 6 square...

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Q: What is the limit of f (x, y, z) = x* – 6xy² + 72³ as (x, y, z) → (1, 2, 3) 40 No answer 166

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Q: The slope of the tangent line at any point (x, y) on a curve is 2yx. If the point (9, 3) is on the c...

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Q: Find the area bounded by the curve y? 4x and the lines x=1 and x=4.

A: Area bounded by a curve y=f(x) and the lines x=a and x=b is given by, A=∫abf(x)dx  We know, ∫xndx= x...

Q: 10 -dr may be written as Aln secB +tanB*+C where A, B, and C are constants not equal to zero. Evalua...

A: Please see the below picture for detailed solution. 

Q: A house was valued at $105,000 in the year 1992. The value appreciated to $175,000 by the year 2006....

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Q: If F (x) is an antiderivative of x-2+x-1, then what is the value of F (1) – F (– 1)?

A: We have,

Q: The resulting integral of -F(0)+C What should be the value of e to make F(0)=0? sin- cos-sine de ha ...

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Q: Which of the following are exponential functions? Select all that apply.

A: Given,           To check the exponential functions.We know that,           An exponential function ...

Q: Find the area of the region bounded by the curve ,2-4r and the lines x = 1 and x = 4. 63/2 square un...

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Q: Differentiate implicitly to find dy/dx. - y2 = 16 x2 + y2

A: In order to solve this function firstly we need to differentiate it with respect to x on both sides ...

Q: ex What is the integrable form of dx? e* - e -X

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Q: bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the ...

A: Given query is to find population of bacteria after indicated time  

Q: What is the integrable form of dr? du u du

A: Given integral is:  

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:

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

A: Refer Attachment for solution.

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

A: The antiderivative of f(x), denoted by F(x)F-x=-F(x)∫abfxdx=K, 0<a<b

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

A: By our policy we are allowed to do one question at a time. Kindly repost other problem other questio...

Q: What is the integrable form of sin-cos-sino do? 2 2 u² – 1 du 2 | cosu du 1- u? du -2 | sinu du

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Q: Question 11 dx Evaluate Bx-12 A) 1 B

A: Integration

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positi...

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Q: In (a le) secx ((2- sec²x) " sec (3А - x) to be integrable using the formula What should be the valu...

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Q: Question 1 sinx sinx +x The integral COsx - e +e dr may be written as mensinx prt gerxLC. where m, n...

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Q: Which of the following integrals is equal to (3x-5) dr if u=3x-7? (A (u+2) du 8/3 -2 -1 / (u-2) du 3...

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Q: Question 5 of 6 Determine the speed along a parameterized path s(t) = (2t°, 2t2) at time t = 9 (assu...

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Q: pom ais Question dty Find of y = 6 cos (x). dx 54 Provide your answer below: -口 dx * Previous Aa

A: topic - derivative of trigonometric functions

Q: 3. Show that among all rectangles with an 8 meter perimeter, the one with the largest area is a squa...

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Q: The general antiderivative of (3x2-4)2x2 can be written as What is the value of the sum of a+b+d+m +...

A: Given :   (3x2-4)2x2

Q: The resulting integral of sin -cos-sin@ do has the form --F(0) + C. What should be the value of e to...

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

A: Please see the below picture for detailed solution. 

Q: e ln (a le) – sec²r) sec(3A – x) sec'x What should be the value of A for to be integrable using the ...

A: The given integral is (2-sec2x)eln(π/e)sec3x/sec(3A-x).

Q: cos2x – sin2x cos2x For - dx =-F(x) + C. What is F(x)? cosx – sinx 3 A (cscx- secx)3 2 B sinx + =cos...

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Q: The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder...

A: Given; dr/dt =1, dh/dt=-1,r=5meters,h=8meters.

Q: r4 dx Evaluate Зх - 12

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Q: For [ Ccos(2x) – sin(2r)cos(2x)) cos(x) – sin(x) -dx=-F(x)+C. What is F (x)? 3 (cse(x) – sec(x))³ ® ...

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Q: What is the integrable form of sin-cos-sine de? 2 2 V1-u? du -2 sinu du u² – 1 du 2/ cosu du

A: We have given integral Let, I=∫sinθ2cosθ2sinθdθ As, sin2x=2sinxcosx sinx=2sinx2cosx2 So, sinθ2=sinθ2...

Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4 O 63/2 square un...

A: Please refer to the image below 

Q: Question 2 If F(x) is an antiderivative of x2 +x, then what is the value of F(1) - F(-1)?

A: Here, given that  F(x)=∫(x2+x-1)dx=∫x2dx+∫1xdx=x33+ln |x|