sinx, x<0 x², 2-x, 1sx<2 |x- 3, x22 Osx<1 15. Let f be the function defined by the following. f(x) = For what values of x is f(x) NOT continuous? b. 1 only a. 0 only c. 2 only d. 0 and 2 only e. 0,1, and 2

Q: Find: d/dt (1/square root of 2t) A. square root of 2t/4t B. - 1/square root of 2t C. 1/2t square…

A:

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: Use derivative for finding the equation of tangent line.

Q: Find: d/dt (xe^x)

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Q: Use a graph to determine whether the given function is continuous on its domain. [3 – x if x 3…

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Q: n=1 convergent, absolutely convergent or divergent.

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Q: Fonsider the function f(x) = -4x - 6x + 24x on the interval [-3 , 3]. Find the absolute extrema for…

A: Given: f(x)=-4x3-6x2+24x

Q: 5. A 6-ft man walks away from a 15-ft lamppost at a speed of 3 ft/s. Find the rate at which his…

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Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

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Q: Problem 4: Use theorems on limits (limit laws) EXCEPT for the polynomial function rule, to get the…

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = 6(x³ - x) g(x) = 0 y 10 f 4 -2 -2…

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Q: sec 3xtan3x dx

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Q: 1 dx x+2

A: Given that a integration and we solve this integration by using general property of integration.…

Q: Consider the series E (-1)"(3x+6)" . Find the series radius and interval of convergence, n=0

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Q: Use the Ratio Test to determine whether the series convergent or divergent. 00 n! nD n = 1 Identify…

A: Solution:

Q: Evaluate the following limits if they exicts, show complete solution.

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Q: Find the average value of the function f(t) = 4 t sine) on the interval [0, 20]. Round your answer…

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Q: The probability density function for a continuous random variable X has the form, Find the…

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Q: Write the equation of the hyperbola with centre at (4, 2), vertex at (4, 5), one asymptote with…

A: To write the equation of the hyperbola with center at 4, 2, vertex at 4, 5, one asymptote with…

Q: Let f(x)=5x/2 - ex . Find the value of x for which f''(x) equals zero.  A. 0 B. 5e C. ln5 D. e5…

A: Solve for x by differentiate f(x) with respect to x.

Q: Problem 2: Given a function 4x -1 f(x) = 2x +1 Use tabular method to determine if the limit of a…

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Q: Is 34 = m, m being any real number, possible? Explain. [1C]

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A: Given query is to find series converges or diverges.

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

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Q: If F(x) = f(g(x)), where f(2) = 5, f '(2) = 5, f (-2) = 1, g(-2) = 2, and g'(-2) = 5, find F '(-2).…

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Q: Find the integral of your answer in problems 2a and 2b.

A: We can solve this as follows:

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 3? y = 3 + 2ex –…

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Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 24 3 4 + 1+…

A: Given query is to find series converges or diverges.

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 6" + 1 n = 1…

A: Solve the following

Q: Determine the slope of the tangent line to the ellipse 5x? – 6xy + 5y² = 16 at the point P(-1,1).

A: Follow next step

Q: Find an equation of the parabola whose graph is shown. y WebAssign Plot (49, -7)

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Q: Differentiate f(x) = sin-(2x). Use exact values. f'(x) =

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Q: Let u = cos(r + y), x = 2st +t and y = t – 2s. Use the chain rule theorem to compute du for du and…

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Q: 24. Solve the system. [x, y] = [-9, – 1] + s{2,3] [x, y) = [-8,2) + 1{2.1]

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Q: 2x – 6 X + 3 If f(x) = { x- 3 then the li X 5 X = 3 a. 5 b. 1 С. 2

A: Given for x = 3 , f(x) = 5

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. 00 n2…

A:

Q: Consider the differential equation y''−2xy'+y=0y′′-2xy′+y=0 subject to y(0)=1y(0)=1 and…

A: Given; y=1+5x-x^2/2+x^3/6 y(.2)=?

Q: Use the integral test to determine if the series shown below converges or diverges. Be sure to check…

A: Follow next step

Q: The multiple choice answers to choose from are A) (lnx)^2 B)2x^(lnx-1) lnx C) x^lnx-1 lnx D) 2lnx/x

A: We can simplify the answer: 2xlnxlnxx=2·xlnxx·lnx=2·xlnx-1·lnx  Because xaxb=xa-b=2xlnx-1lnx

Q: Find the parameter k such that the function y cos(kx) satisfies the equation y + 5y" = 0.

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Q: 2. Let R(t) = } sin 4t î – bcos“(21) j + 2t k. E

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Q: goo3D 4X Sxt7

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Q: 10 Evaluate the summation i. i=1 55 10 1

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Q: A 20ft ladder is placed against a wall. If the top of the ladder is dropping at a rate of 5ft/min,…

A: given

Q: 2. Write the given (total) area as an integral. (vde a. The area above the x- axis and below y = 4–…

A: Here we have to find the area.

Q: How do you do optimization in calculus? List all steps

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Q: Consider the real sequence {an} given by an = In(n + 1) – In(n +2), n e Z20 = NU {0}. Justify…

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Q: dy dy if x cos 'y= x+y. Hence find the value of dx if x = 0. dx 4. Find

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Q: Sind Double în tegrals the area hounded curve y =x?+5, Line t:

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Q: This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A…

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