тӕ 11 if x < - 4 - | Let f(x) x2 + 7x – 7 if x > - 4 If f(x) is a function which is continuous everywhere, then we must have = u

Q: ах 6. What should be the rewrite of the integrand of S, so that the resulting integral 2!+cosx is in...

A: Topic = Integration Correct option = a

Q: The following statements are true EXCEPT A. lim x →2 x²=4 B. lim  x →-2 x=-2 C. lim x →-2 x³=8 D...

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Q: x5 dx (x6-8)2 2.

A: given that,  evaluate the following integral ∫x5(x6-8)2dx integration formula   ∫xndx=xn+1n+1+C

Q: The definite integral (-+) dx when evaluated is equal to - 11 Find the value of a." 12 3Vx. a

A: Given ∫49-xa+13xdx = -1112we know that∫xn dx = xn+1n+1 + C

Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2* Calcula...

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Q: L:(sin x – 1) dx + ,cos x + 1) dx =? c)-1 а.) -89 b.) -91 d.) - (1 +)

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Q: Given the first-order differential equation as below: (x² +3y +5)dx + (6xy + 6y +3)dy = 0 (ii) Calcu...

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Q: *Problems Involving Continuity A. Tell whether each given function has a solution on the indicated c...

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Q: Use the graph to find the limit (if it exists). 10 lim f(x), where f(x) = (8 – x, x + -4 5 x = -4 -1...

A: Given :lim x→-4f(x) 8-x,x≠-45x=-4

Q: 1. Determine the important parts of the conic and sketch their graph. а. у? + 2х — 10у — 31

A: As per our guidelines we are supposed to answer only one question i.e. the question no 1)a). For the...

Q: Determine the continuity of the function at the given points. f(x) = [1, x-2, for x=1 at x = 1 and x...

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Q: An open-box with a square base is to have a volume of 500 cubic inches. The material for the top and...

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Q: The temperatue of a town t months after January can be estimated by the function f(t) = – 28 cos( + ...

A: The solution can be seen below.

Q: For f (x) = Vx – 3 +1 Find the derivative function of f' Evaluate the derivative at x = 4 Find the e...

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Q: Given: G(x) = [x] + [4 – x]. Determine lim G(x). x-3

A: We will find the limit of the given function.Below find the solution in the image.

Q: a. Y= x* + 1 а. a²x b. Y = a²+x?

A: Follow the procedure given below.

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = x2 - 6xy ...

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Q: Find the moment about the x-axis of a wire of constant density that lies along the curve y = 6x from...

A: moment about the x axis is given by Mx=12∫abf(x)2-g(x)2dx

Q: What is the position function?

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Q: (sin x – 1) dx + (cos x + 1) dх %— 0. D.) - (1+) А.) —89 C.)- 1 В.) —91

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Q: Write an equation for a cost function where the fixed costs are $2300 and the variable costs are $20...

A: Given data: Fixed cost= F= $2300 Variable cost=V= $20

Q: Use the graph to find the limit (if it exists). Sx + 3, x + -1.5 lim f(x), where f(x) = { -3 ,x = -1...

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Q: Evaluate the integral fw(2w + 3)² dw A.) w+4w3+w2 + C B.) w+2w3+9w2 + C C.) w2(w2+4w+9/2) + C D.) 2w...

A:

Q: (x)

A: We will find the correct answer. 

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

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Q: Write as a decimal. (Type a decimal.)

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Q: Evaluate the integral. | cos (x)dx

A: The given integral is: I=∫cos-1x dx

Q: What is the value of a so that In (e* ) dx = 6 ? a A.) O В.) 1 С.) 2 D.) 3

A: Given: ∫a4ln(ex)dx=6    

Q: x+1 x-x-2

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Q: if x < 0 if 0 < x < 1 -x² + 4x – 2 if 1 < x < 3 . Find lim f (x). if x 2 3 Given: f(x) = • %3D x-3 4...

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Q: 16. 5dx If +1= 2-, what is the value of b? 4 V8x2 a.) 2 b.) 4 c.) 8 d.) 9

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Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis. ...

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Q: (2x+5)² What should be the rewrite of the integrand of S x² dx so that the resulting integral is int...

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a- ...

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Q: Given the differential equation y" - 3y' - 28 = 6x e2 + sin(8x) Find the Differential Operator for t...

A: This problem can be solved as follows

Q: (x + Vz)°da

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Q: K石Xuts

A: ∫ Sin-1 x dx   ....(1) Using integration by parts ∫ f1(x)*f2(x) dx = f1(x)∫f2(x)dx-∫[d/dx(f1(x)*∫f2(...

Q: If Sf(x)dx = 5, i f(x)dx = 2, and Sif(x) dx = -1, find f(x)dx. %3D %3D А.) -2 В.) 2 С.) -3 D.) 3

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Q: The slope of curve is given as (2x + b+) and has a value of 17 at x = 2. What is the value 16 of y w...

A: Topic = Integration

Q: Vx+3 4. f(x) = f'(1) x-4

A: The given function is: f(x)=x+3x-4

Q: Find all the values of a such that the given series would converge. (7x)" n5 n=1 The series is conve...

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Q: Suppose that the manufacturing cost of a personal digital assistant (PDA) is approximated by M(x.y) ...

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Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C D....

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Q: Skatekthe region enclosed by the given curves and then find the area of the region. y = cos(72), y =...

A: The region is bounded by the curves  y=cos(7x) ,y=0,x=π14 ,and x=π7

Q: Find numbers a and b, or k, so that f is continuous at every point. x2, ifx s5 f(x) = kx, ifx>5

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Q: Continuity of Functions at a Point Determine if the given functions f(x) are continuous or not at th...

A: According to question,Given Function,fx = x2 + 2x +1 at x = 2

Q: дт ду д dy at az az & as Calculate by first finding & and using the chain rule. at as' as' at

A: Follow the procedure given below.

Q: Second-order non-homogeneous ordinary differential equation given a y" +3y' – 10y = e²* Calculate th...

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Q: 30A ball is thrown straight up into the air off the top of a building so that is height in feet afte...

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Q: Determine the equation of the curve whose tangent line at any point (x,y) is e* – sin x and passes t...

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