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

Q: Find the volume of the solid generated by revolving the region bounded by the |2x| about the x-axis....

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Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = 3VT...

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Q: dy +7"y – 7= 0 can be classified as dx The differential equation order 1, linear, and homogeneous or...

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Q: Find the value of k so that the value of S,"(2y – 1) dy is 10. 1 2 3 4

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Q: 8- 6- 4- 2. The graph of f(x) is shown in red. Draw the graph of g(x) = - f(x). -8 -7 -6 -4 -3 -2 Ma...

A: The graph of the equation f(x) is given , find the graph of  1) g(x)= -f(x)  2) g(x)= f(x)-3 .

Q: g. On what interval(s) is f(x) continuous? Preview

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Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocityis...

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Q: 11. Find the total area between the parabola y = x² – 4x, the x-axis, and the ordinates x = -2 & x =...

A: Here we have to find the total area between the parabola y=x2-4x, the x-axis and the ordinate x=-2 a...

Q: 29. f(x) = (x* + 1)-2 %3D

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Q: 1. (D2 + 2D + 4)y = 8x? + 12e-*

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Q: Find a parameterization for each of the following surfaces: (a) æ² + y² + z² – 4x – 6y = 12 (b) 2x² ...

A: We have to find the parametric representation of the following surfaces: x2+y2+z2-4x-6y=12       → ...

Q: A function f is said to have a removable discontinuity at a if: is either not defined or not continu...

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Q: Given a function f (x) whose graph is shown below. (6,5), (1,4) (-4,2), 2 (6,2) -6 -4 -2 2 4 -2마 9(1...

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Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2x Calcula...

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Q: y = 3x² – 1 from x = 0 to x = 1 . 3. Find the exact arc length of the curve

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Q: Order these functions by time their complexity in ascending order 3n .2 n5:nº lg°(n), 54log25 (n) n2...

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Q: If 5dx + 1 = 2, what is the value of b? 48x2 А.) 2 В.) 4 С.) 8 D.) 9 А) с B D D) A

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Q: Find the indicated angle ?. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assu...

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Q: S (7z³ + 4x²) dx

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Q: Sx V1 – x² dx 3.

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Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity i...

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Q: Determine the behavior of the functions defined below. Note that it is common to write g(x) → 0" to ...

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Q: a. lim g(x) = x→3+ Preview b. lim g(x) x→3 Preview c. lim g(x) = Preview

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Q: 2. Find the indicated values. f(g(3)) f(x) 9(x) 51 54 S(8(1)) g(S(1)) 4- 4- 8(5(0)) 3 S(S(5)) 2- 2 S...

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Q: Given a function whose graph is shown below. 3 2- 1+ -6 -2 1 4 8 -1+ -3- -4+ What is lim f (x)? x--5

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Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: NOTE: Refresh your page if you can't see any equations. . factor out  .............(1)

Q: 20. Find the equation of the curve for which y" = x, and which passes through the point (1, 2) and t...

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Q: Write the range in interval notation. Represent the gap with a "U". Find lim (secx) Find lim (secx)

A: We will graph the function and find out the range. 

Q: 9. An object is shot upwards from ground level with an initial velocity of 3 meters per second; it i...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Test the series below for convergence using the ratio test. 5n n! n=1 The limit of the ratio test si...

A: Given:     Equation is given

Q: -b 5dx If +1 = 2-, what is the value of b? 3/ 4 V8x2 8.

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Q: Find the exact length of the curve around the area of the region given in the problem Note: show eve...

A: Given:      r = √θ Here θ goes 0 to 2π

Q: Find fy (x,y,z), fy(x,y,z), f_(x,y,z), and fyx(x,y,z) for the following. f(x,y,z) = 3x* + 3xy - 5z

A: We need to find derivative of given function.

Q: A function f is said to have a removable discontinuity at a if: is either not defined or not continu...

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Q: Linear differential equation hith constart coefficients. 3 D = n- 4R+ 6) y

A: Given: D4-4D3+7D2-4D+6y=0

Q: 1. 4x cos(2 – 3x) dx

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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 ...

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Q: Sm(e*)dx = 6? ¿9 =: What is the value of a so that A.) 0 В.) 1 C.) 2 D.) 3

A: We have to find the value of a

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: f(x) = In(5 + 4x)

A: Given: - The function is, f(x)=ln(5+4x) To find: - The derivative of the given function.

Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f (t) = 2e-3! sin...

A: we use shifting property of laplace transform 

Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. S 1, 0sx s 1 x > 1 ...

A: Given that dydx+y=fx  , y0=1  fx=1  ,0≤x≤1-1    x>1Solution:When 0≤x≤1dydx+y=1 this is the linear...

Q: (x)

A: We will find the correct answer. 

Q: Find the value of k so that the value of "(2y - 1) dy is 10. 1 3 4

A: Topic = integration Value of k is 4.

Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x...

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Q: Find a polar equation for the curve represented by the given Cartesian equation Note: show every det...

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Q: - Find the antiderivative of 5inxIn5cosx. a. 5cosx + 3 c. 5sinx In 5 b. 5sinx – 2 d. 5sinx -+7 In 5

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Q: d. lim f(x) = x→-3/5 Preview e. lim f(x) = x→1 Preview f. lim f(x)

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Q: Find the general solution of the differential equation æyl + 2y! – (x + 2) cos (x) + y = 0 and choos...

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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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