2. a) For what values of x is f discontinuous? b) At each point where f is discontinuous, determine the limit of f(x), if it exists.

Q: Interchange the order of integration of the following integral (DO NOT EVALUATE). So St e dr dy

A: Given integration is ∫01∫y1ex3dxdy

Q: 9. Below is the graph of f'(x). For what values of x is f(x) decreasing? Explain f'(x) A -1 1 2 3 -2

A: As we know Function decreasing when f'x<0and function increasing when f'x>0

Q: Sketch the level curves of the function h(x, y) = = X x + y for c = -7.

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Q: Suppose f(x) is continuous on [1,2], f(1)=5, and f(2)=9. By the Intermediate Value Theorem, we can…

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Q: 2. Determine the center and length of radius of the circle given by the following equation…

A: Given equation of circle x2 + y2 - 16x + 48 = 0

Q: 13. * log₂ (x³ - 8) log₂ (x² + 2x + 4) = log₂ 7 C. x = 7 A. x = 9 B.x = -5 O A О в О с O D O None of…

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Q: Question 4: A damped oscillator has displacement, s, given by s = e-kt cos(wt) where w is the…

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Q: Let fbe the function in blue and let g be the function in red below. (Click on the image to see a…

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Q: Find the integrating factor μ(x) of y' = 25x¹y +3 such that μ(0) = 1.

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Q: Find the divergence of the vector field F. F(x, y) = 2xexi - 6x²y²j

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Q: Find the point on the line y = 4x + 5 that is closest to the origin. =([ (x, y)

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Q: If 3x − 4 ≤ f(x) ≤ x² − 3x + 5 for x ≥ 0, find_lim_f(x). - - X→ 3

A: Given 3x - 4 ≤ f( x ) ≤ x2 - 3x + 5limx→3f( x ) = ?

Q: lim +0+ -3x4-12x

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Q: Evaluate the integral: Ox= 10 sin(0) 100 sin(0) Ox= 10 sec (0) = 10 tan (0) O (A) Which trig…

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Q: The given two-parameter family is a solution of the indicated differential equation on the interval…

A: Given that a differential equation and also goven that its solution we find that solution at given…

Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dy dt x²…

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Q: b) (i) (ii) (iii) (iv) (v) (vi) Find the general and definite solutions of the first order…

A: Differential equation

Q: Find the general solution of the differential equation: y'-4y = 3 sin(2t) Use lower case c for the…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³6x²-15x +4

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Q: 35. (AP Study) The number of rabbits on an island during a measured five years period of t was found…

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Q: function

A: We have to explain about the limit of rational function according to the given information

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Q: Given that f(x) = x² - 4x and g(x) = x + 3, find (a) f(x) + g(x)=

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Q: If a ball is thrown into the air with a velocity of 60 ft/sec, its height in feet after t seconds is…

A: If a ball is thrown into the air with a velocity of 60 ft/sec, its height in feet  after t seconds…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) (x + h)³ – x³ h lim h→0

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Q: Problem #4: Determine the sum of the following series. 256 + 90 Problem #4: +1+ + 16 +16245 +...…

A: Given :2516+54+1+45+1625+64125+...

Q: O True L

A:

Q: Find the volume of the solid obtained by revolving y(x) = sin(5x) for 0 ≤ x ≤ about the x-axis. (Use…

A: Formula used Volume of region obtained by rotating the region about x axis is givan by V = ∫abπy2dx…

Q: Question 1 (a) Given a differential equation t3x" +21²x" -tx+x= 121². Show that C1 x = =+c₂t+c3t lnt…

A: Please see the below pictures for detailed solution.

Q: b. Consider the following graph of a function g(x). Estimate the following limits (using an answer…

A: Graph of the function is given, we have to find the given limits.

Q: Suppose that A is a constant and f(x) is a function of such that Ax x-3 <f(x) < x-768 for all x near…

A: Suppose that A is a constant and fx is a function of x such that, Axx-3&lt;fx&lt;x-768for all x near…

Q: Evaluate the following integrals. / 7²(7²2+27+3) 2. dr

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Q: y" + 4y = sin(t)U(t - 2π) (d) y(0) = 1 y'(0)=0

A: (d) Given that , y''+4y=sintut-2πy0=1y'0=0 Find the solution.

Q: 19. Zigrich deposited half of PHP 180,000 in a rural bank paying 5% interest, How much will Zigrich…

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Q: Compute the work (in joules) required to compress a spring 7 cm more when it is already compressed 6…

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Q: The tangent line to a smooth curve r(t) = f(t)i + g(t)j + h(t)k at t=to is the line that passes…

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: As we know that volume of solid obtained by rotating the region about x axis V = ∫abπy2dxGiven y = x…

Q: Evaluate the following integrals. 3. Jy sin(xy) da, y sin (ry) dA, where R = [0, 1] x R = [0, 1] ×…

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Q: True or False log32x² = log32 + 2log3x O True

A: We are asked to find the true or false

Q: 7x+4 = 492x-1

A: Given 7x + 4 = 492x - 1

Q: Consider the function y = (− 3x – 4)2. Using the values x = − 7 and △x = 0.4, calculate △y − dy.…

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Q: 1.9 The vertical displacement y (in cm) of the end of an industrial robot arm for each cycle is y =…

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Q: of y = 2 tan x 1-tan²x

A: Solution is done in step 2

Q: Find the Value of log77³ + log778 73 O 21 O 11 O 12

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Q: The electric charge q (in C) passing a given point in a circuit is given by q = t sec √√0.4² +2,…

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Q: 9. * In 3²x² = 3x+3, O True O False x = -1 and 2/3

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Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. Jo y g(12) = 0 3- g(15) = 45/2…

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Q: 18. A loan of PHP 75,000 with 3.5% interest rate compounded semi annually, will be paid in 2 and…

A: we need to find out the interest by using the compound interest formula.

Q: The curves r₁(t) = (2 sin(t), 4 cos(t), e³t) and 72(t) = ( 7 ln(t), 4√t, t²) intersect at Doint (0,…

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