The slope of the tangent line at any point (X, y) on a curve is If the point (9, 3) is on the curve, find an equation of the curve. O y=x3/2 – 24 y=-x3/2+ 33 4 4 O y=x3/2 – 33 3/2- 39

Q: Which of the following integrals is equal to the integral / s(3x-5) dr? A f(2) dz 7/3 B | s(2) dz 2 ...

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Q: ng of a drug in a person's systemt hours after the drug is administered. -0.22t If C(t) = 53.3t e me...

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Q: Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population ...

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Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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

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Q: 7.5- yy - 9 4+9) dy -6- 8.S 1 dx e2x+ e-2x

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Q: F ind the limit using L'Hopital Rule. lim 4 - 16 3x-16

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Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: The integral cosx - e Snx te sinx +x + px + geX + C, where m, n, p, q, r, and C are constants not eq...

A: We have to find integration

Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: Which of the following is an improper integral? In3e A xe COSX dr хе -2 S In(x++1) dx В dx 2x + 8 D ...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A: Explanation of the answer is as follows

Q: Question Find the equation of the tangent line to f- at the point P(1, 2) for f(x) = /3 – x. %3D Pro...

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Q: f C(t) = 55t e - 0.2t measures the concentration, in ng of a drug in a person's system t hours after...

A: Given query is to find the maximum concentration of the drug.

Q: QUESTION 5 Use the inverse transforms of some basic functions to find the given inverse transform. 1...

A: We know that, Laplace inverse of {1s}= 1 and Laplace inverse of {ss2+a2} = cos(at).

Q: Let g(x,y) = x³ – 6x² – y* + 5. Find and classify the critical point(s) of g.

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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 ...

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Q: Solve this differential equation: dy 0.07y(1- dt 600 y(0) = 5

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Q: sinx+X cosx - esa+e The integral dr may be written as mensinxi pr+ gerx 1 C, where m, n, p, q, r, an...

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Q: Let f (x, y) = e^x (sin(y) +1) and use the point P (0, (pi/2)) a. Find the gradient of f at P. b. F...

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Q: x"(t) + 9x(t) = 5sin (2t) when t = 0, x = 3,x' = 1

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Q: Suppose the temperature of a metal plate is given by f (x, y) = the temperature of the metal plate i...

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Q: F (x. y) = 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Find sign Diagram

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Q: 2 Which of the following integrals is equal to (3x – 5) dx if u =3x – 7?

A: Given∫123x-5dx

Q: Write the comp number in standard form. (Simplify your answer completely.) 3-V-64

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Q: Describe the graph of the function. ) (x- 3)2 +7 O parabola opening upward O parabola opening downwa...

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Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

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Q: A mountain climber is about to haul up a 50-m length of hanging rope. How much work will it take if ...

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Q: If C(t) = 71.6t e -0.4t ng of a drug in a person's system t hours after the drug is administered, wh...

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Q: any method to determine if the series converges or diverges. Give reasons for your answer. 00 3 3 Σ ...

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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: 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: Evaluate the volume created under the curve y = sin a +3 from x = 0 to a = ™ when the curve is rotat...

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Q: ng - 0.25t measures the concentration, in of a drug in a person's system t hours after the drug is a...

A: Goven,             Ct=49.2te-0.25t measures the concentration in ngml, of a drug in a person's      ...

Q: What is the integrable form of sin-cos-sin0 d0? 2 2 A du B cosu du 2 -: / sinu du D du

A: Let's find. 

Q: Te relationship beween a profesSIonal basketball players helgh H (IN Ihches) anta welght w (In pound...

A: Given query is to find the weight for the given modal.

Q: Question 17 b --x" + -xP +C. a d The general antiderivative of (3x2–4) 2x² can be written as m p Wha...

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Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

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Q: 28. A particle moves along the curve y = 3x2 +1 in such a way that the y value is increasing at the ...

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Q: The Series - 3. ハニ1 A) Diverges by the Direst compurisont

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Q: For each part, use a short sentence to explain why the expression does not make sense. S, So e* cos(...

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Q: Determine whether the statement is true or false. (tan (x)) = (sec"(x) dx

A: topic - derivatives

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: a) Find the length of the curve y(x) = x3/2/3- a/2, 3< x < 4. b) Find the area of the surface obtain...

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Q: Find the area of the region bounded by the curve y2–4r and the lines x = 1 and x = 4. 24 square unit...

A: area of the region can be obtained by definite integral of the function within given limits. here we...

Q: f. Find the area bounded by the curves y=x^2+6x and y=3x. Give exact answer.

A: We can find area of the given region as  Follows  

Q: Which of the following integrals is equal to the integral / f(3x - 5) dr? 7/3 f(2) dz 7/3 f(2) dz

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Q: sinx sinx + The integral cosx - e dr may be written as „nsinx me +px+qe* where m, n, p, q. r, and C ...

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Q: 10* -dx may be written as AlnlsecB* tanB*| C; where A, B, and C are constants not equal to zero. Eva...

A: Solved below