DO NOT include spaces in between characters. Type your answers in the following order and format: a=1,b=-1 Find the values of a and b such that fis differentiable at 2 if S (x) ={r+b ifr<2 2r –1 if 2

Q: y = V1 + t² dt

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Q: A rectangular box having a square base and open at the top is to have a capacity of 16,823 cubic cen...

A: suppose the side of the box = x cm.height= h cm.Given : Volume  = 16823 cc  

Q: 4. A certain travel agency offered a tour that will cost each person 1,500 pesos if the participants...

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Q: Find y" of 4x2+9y2= 36

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Q: The management of Porter Airlines finds that its monthly marginal revenue can be approximated by R'(...

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Q: - The appropriate integrating factor for the following differential equation (2x + cosy)dx + (x²tany...

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Q: : find ualue and eigen eigen vector of matrix A. 10 A = 7 -2

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Q: dy For f vỹ+'Y = vy+/ O y = u^2 O y = u^4 O y = u^(1/2) O y = u^(1/4)

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Q: dx -1 x + 1 2.

A: We have to find whether integral diverges or converges

Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the equa...

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Q: Find the cumulative density function for the given probability density function. k(x) = 1.9 e -1.9X,...

A: Given: k(x)=1.9e-1.9x, for 0≤x≤∞ Cumulative density function will be Kx=∫0xk(t)dt

Q: How fast does the slope of the curve y= (x²+x+ 1)² change at the point where x=2? The answer is Blan...

A: This question is based on chain rule differentiation.

Q: zln x dx 2) S 3 cos3 x sinó x dx 3) 12.1 dt 13. 3t + 2

A: Explanation of the answer is as follows

Q: Find dy/dx: y = sin (In x²). A 2 cos (In x²) (B) 2 cos (In x²) / x

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Q: Find dy/dx of y=sin -1(1/x). (A x²– 1 3 B 1- 9x2 1 9 D 1-x2

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Q: 14. y = Vx, the x-axis and x = 4, about the line y = 2. 40T 30Tt units3 b. units3 units3 d. none of ...

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Q: 1. [a4 In xdx

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 1. dx+ e*dy=0 5. x(1- y)dx+(x² -2)dy= 0 5. sin2xdx+4ycos² 2xdy=0 dy_ xy+3x-y-3 dx xy-2x+4y-8 . (4y+ ...

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Q: For S(y + 2) /2 –- 3y dy,y = O y = u^(1/3) O y = u^3 O y = u None of the choices

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Q: Which of the following functions is continuous on -5,4)? For those who have trouble viewing the Math...

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Q: A sform z (pa, + zaz) to spherical form. Simplify your answer.

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Q: Determine whether the improper integral diverges or converges. dx 1.fº. (2x-1)3

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Q: Calculus: In a certain city, the probability density function for x minutes to be the length of a te...

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Q: 4. Given the graph and function below, complete the table. Differentiable Continuous f(x) Derivative...

A: The given graph is f(x)=x2+1

Q: The solution of the non-exact differential equation y dx + (3 + 3x – y)dy = 0 is: O (y^3) (1+x)-(y^4...

A: This question can be solved using the concept of linear differential equation.

Q: 23. y + ху %3 ху , У0) %3D 3

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Q: View Policies Current Attempt in Progress Find the volume of the solid that results when the region ...

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Q: x² – 6x + 8 - 4. Evaluate | I Tr? +1Xx–1) dx using Partial fractions. .2

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Q: 3. * S cos(3z)sin1º(3z) dz A 1 C (sin(3z))10 + C 3 (cos (3z))10 + C - -- В 1 (cos (3z))'1 + C 33 1 (...

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Q: The Cote family car gets between 25 and 29 miles per gallon of gasoline. The fuel tank holds 17 gall...

A: We have to solve for given conditions. 

Q: The cost function for production of a commodity is given below. C(x) = 352 + 23x - 0.08x2 + 0.0005x...

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Q: Use your knowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

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Q: find the afproyimate Value of: (3.01)*+(5-98)²+(2.03)?

A: solution

Q: Solve the following First Order Differential Equation: + 2y = 1 dr

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Q: 4. Find f"(2). (a) f(u) = 2u²5 – u).

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Q: 6. * 1 dx Vã (1-/x) 2 In I 1- x1/2 |+ C ! In I 1 -x1/2 | + C A C -2 In I 1-x1/2 | + C - In 1 1 - x/2...

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Q: 5 and 6

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Q: Question 5 of 10 View Policies Current Attempt in Progress Find the volume of the solid that results...

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Q: fcac) fCre)ニ2x+5

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Q: x² +2x +3 dx x' +3x² + 9x A In Ix³ + 3x² + 9xl + C ! In Ix3 + 3x2 + 9xl + C 4 3. D 2 In I x3 + 3x² +...

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Q: By completing the square, dx the integral S equals: 2x2+8x+10 tan-1(x + 2) + C : tan-1(x – 2) + C th...

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Q: Determine the total work, by Green's theorem, performed by the force F(x, y) = field, on a particle ...

A: Given

Q: Partial Derivative Let w = exz sin(yz) – ev²cos (xz) Find wx. %3D - Higher Derivatives Let z = (x – ...

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Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.

A: solution:-I=∫152x+2dx,     n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)   =14+3+83...

Q: Evaluate function. Let f (x) =x²-1, then evaluate if f(a+3). A a²+ 12a+64 B a²+3 С) а2+ба +8 D a²+6a

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Q: Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. Vertical Asymp...

A: Equation of a curve is giveny2=2x4-5x3+3x2+4x-20x2-3x+2

Q: Find  dy du,  du dx, and  dy dx. y = 2   u,     u = 5x + 3

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Q: Consider the function f(x) = Find a function g(x, n) such that f(x) = g(x, n), and enter this into t...

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Q: DO NOT include spaces in between characters. * d (y -8 de (y° +8 Compute at x =2.

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Q: dr (bV5 + nc)

A: You have asked two questions. According to Bartleby policy we will answer only the first question. P...