On the interval -2

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate (in cm²/s) is the area of the ...

A: We know that the area of the square is: A=b2 Where; b is the side of the square.   The Power law: d...

Q: 3Tt of cSC X du If u = f(x), then dx cos X . Compute %3D 2 sin x и -

A: Given ,  u = f(x) 

Q: 1.J347x2+12x .s 3x2+8x-12 dx

A: 1). Given: I=∫3x2+8x-12x3+7x2+12xdx We know that; ∫1ax+bdx=1alnax+b+C   Note: As per Bartleby guidel...

Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is f f(u)du. Find f ().

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Q: Solve the initial value problem: (2x – 3y + 4)dx + (x – 1)dy = 0; y(-1) = 2. %3|

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Q: Find the solution of the following Differential Equations 1) ydx+ xdy 0 2) (xdy- ydx)/x = 0

A: Find your answer below 

Q: Solve the initial value problem for x as a function of t.. dx (? - 15t + 56). = 1 for (t> 8), x(9) =...

A: Given that      (t2-15t+56)(dx/dt) = 1 for (t>8), x(9)=0 Here we have to find the initial value p...

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: nd the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about = zo and then find the nth Taylor po...

A: Topic:- calculus

Q: Find the particular antiderivative that satisfies the following conditions: dR 20 R(1) = 50. dt t2 R...

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Q: Find the indefinite integral. sin 70 V cos 70 de Step 1 To solve the integral | sin 70 Vcos 70 de, r...

A: The given integral is sin3(7 theta)√(cos(7 theta).

Q: Evaluate the integral. -2x. + C dx NOTE: Enter the exact answer.

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Q: Find the unit vector of A=3ax+2ay-3az

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Q: y" + y " +y' + y = 1

A: A differential equation is said to be linear if no terms in it are formed by multiplication of two t...

Q: Find the derivative of f(x) = sec(tan(x) + cot(x))

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Q: Use sigma notation to write the Taylor series about x = xo for the function. 2 In x; xo = 1 k =

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Q: an exponential function y f(x). (2,8.64) (1,7.2)

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Q: If f(16x*- 16x³ + 4x²)dx = F(x) + C, then F(x) %3D

A: Formula:∫ xn  dx  = xn+1n+1 + C   Integral:I=∫ (16x4-16x3+4x2) dxI=∫ 16x4 dx -∫16x3 dx +∫ 4x2 dxI=16...

Q: æ(t) 6 y(t) = et + 11 (a) Cartesian Equation, be sure to express your answer as an equation: (b) Ran...

A: Given query is to find the value equation I'm Cartesian form.

Q: 12. Evaluate ((1– cos x) dx a.) 1- sin x +C b.)x - cos x +C c.) 1- cos x+C d.) x- sin x+C 13. Evalua...

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Q: if we let u-4x- 1 for the 2 tan(4x-1)-3 cos (4r-1) dx, what will be the resulting integrand? cos 4x-...

A: The given integral is  (2tan(4x-1)-3cos2(4x-1))/cos(4x-1).

Q: a. When Frank initially sees the coyote, the angle of depression for his vision is 6 degrees. Draw a...

A: Frank stands at the top of a cliff. On the ground 310 feet below, frank spots a coyote.

Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) 19...

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Q: Given: 5x cos 3x dx. If u = 3x, then the resulting integral is f(u)du. Find f ): 5/2 18 18 5/2 12 5/...

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Q: Evaluate the limit below. 1 lim (x,y)→(0,0) 1-x2-y?

A: limx, y→0, 011-x2-y2

Q: ential equation. ect answer below. 5-12 + C

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Q: y - y = 0

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Q: Determine the critical numbers of the ff. functions.

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exac...

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Q: Solutions of differential equations: y' = sin x O y = - cos x +c O y = cos x + c %3D

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Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t аnd x = sec-1t

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Q: k(k +7)

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Q: A rectangular box with an open top has a square bottom and a volume of 4 m³. Find the dimensions of ...

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Q: Evaluate the limit. If dne, explain. (2cos(4x² + 7) + [6x² + 4] lim X→+∞ 4x2 + 7

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Q: 2. (x + 2) dæ: (x + 3) sin y cos y dy In(a + 3) sin y %3D + C ans. x -

A: (x+2) dx = (x+3) sin y cos y dyUsing the method of variable separable;x+2x+3 dx = sin y cos y dy   ∫...

Q: Find the particular antiderivative that satisfies the following conditions: F' (x) = a* + 5Væ; F(1) ...

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Q: n exponential function y= f(). (2,8.64) Preview 1.2

A: We know that,Exponential function is of form y=abt. and here by using graph it is clear that , graph...

Q: Given A=-3ay +2ax +4az, B=3az -2ay + 5ax and C=-3ax +4az +5ay. Find a. A+2B-C and b. I 2A-3B+C I.

A: Given A=2ax-3ay+4azB=5ax-2ay+3azC=-3ax+5ay+4azA+2B-C=2ax-3ay+4az+10ax-4ay+6az--3ax+5ay+4az          ...

Q: Let f dx be given. if u = e* + 1, then the resulting integral is f(u) du. Compute f(3) 2/3

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Q: cot 2x J Vcot 2x – 15

A: Given,           ∫cot2xcot22x-15dx

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: 4. Fond theequation ofthe tangent line to the graph of the Function FCx)=R-JX at the point (1,0).

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Q: 5. if we have two polynomials pl=3x5 + 8x* – 2x2 + 4x + 1 p2= 2x6 + 3x* – x² + 4x Find:- Your answer...

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Q: dx 6. Evaluate 5-16r

A: Evaluate ∫dxx83-16x2

Q: Solve using the U-Technique Question 14 Let dx be given . If = e* + 1, then the resulting integral i...

A: Solving the problem by finding the value of f(3)

Q: Solve the following differential equation y = - 3x²sec²(-x² - y) Select one: Oa. +C O b.(-x-y)- sec°...

A: In this question we have to solve the differential equation.

Q: Given: 2/(x)dx There is a function f (x) such that when u = -x, the resulting integral is 2du Evalua...

A: Need to find the function f(x). Given information: The integral is ∫2f(x)dxe-x3. There is a function...

Q: . The standard form of the first order linear differential equation x y'+xy +2 = 0 is,

A: This question is based on to form a standard first order differential equation.

Q: 1+ In x Find f(x) so that when u f(x) the integral tan( fx) dx can be rewritten as cot u du. A) x- x...

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Q: (х + 2) dx (x + 3) sin y cos y dy In(x + 3) sin? y + C - ans. 2 2.

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