Find the value(s) of x for which f(x) =4x-3/4x^2+17x-15 is discontinuous and label these discontinuities as removable or non-removable.

Q: xy' + y = 0, y(4) = 6 y'cosh?x = sin² y, y(0) = }7 TT y' = -4.x/y, y(2) = 3 xy' = y + 3x* cos² (v/x)...

A: As per guidelines, I can answer only one question. Since you have asked for multiple questions, so I...

Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

A: This question can be solved by first plotting the graphs to get the feel of the area enclosed.

Q: Consider the two functions fx) = 5x + 5 and g(x) = 5x - 5. a. Determine the instantaneous rate of ch...

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Q: Find the volume of the solid generated of the area bounded by y? = 8x and y = 2x, rotated about y = ...

A: I am attaching image so that you understand each and every step.

Q: Which of the following is true for the interval (2,0) for the graph of fAx) shown below? 5+ 4 3 -5 -...

A: This question can be answered by considering the slope of tangent at any two points in the given int...

Q: 8

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Q: 5. The amount of a certain drug in a persons blood t minutes after admin- istering the drug is given...

A: To find out the time it takes for the drug level in the bloodstream increasing. 

Q: 1. Simplify. a. 2168 3i-89 + 4i114 125 +21213 31-314 b. 597 4185

A: a.Solution :2i68-3i-89+4i114we know that i2=-1i3=-ii4=12i17×4-3i-22×4+1+4i28×4+22i17×4-3i22×4+1+4i28...

Q: Given the following differential equations, use an appropriate method to find for the solution.

A: Solving the differential equation by seperation of variables

Q: Look for the volume of the solid produced by rotating the region enclosed by about x? - 2kx – 4ky + ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: 2. Determine f'(-1) for the function f(æ) = (x" – 2r° + 1)(x³ + æ -- 2). 8 (B) 12 (C) 14 (D) -4 (E) ...

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Q: A number x is selected at random from the interval [4,20]. The probability density function for x is...

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Q: 0. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 13. Find an equation of the curve that passes through the point (1, 1) and whose slope at any point ...

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Q: x(xキャュ DISTRI BUTI VE PROP.

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Q: x'y' = 4x? + 7xy + 2y? %3D

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Q: ха + ах — 2bx -2ab — х3 — 2ах* — 2bx? x* + ax³ – 2bx³ – 2abx² dx

A: Given integration is: ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx

Q: | xf(x2) dx. If f is continuous and f(x) dx = 4, find

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Q: 2. | 1

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Q: 12 TT CoS + i sin + i sin 6.

A: I am attaching image so that you understand each and every step.

Q: G(t), of the function g(t) = (2n?t? - t)V2n2 – t?. %3D

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Q: 1. Fill in the following blanks for this function: y = - 4 cos 2x - 5 a)amplitude b) reflection c) p...

A: Given query is to find the Indicated points of the function.

Q: Cami plays softball. The table to the right shows the frequency of the number of hits she has per ga...

A: a)  D. Divide the frequency of two hits by the total. Probability = 1153 b) A. P(at most two hits) =...

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y2 = 4(x² – ...

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Q: x²+5x-8 Evaluate f

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Q: Зх-1 13. f (x) = ;(-1,6] х2—7х-8

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Q: The base of a solid is the region in the first quadrant bounded by the graph of y = sin xand the x-a...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x2 + ...

A:   Intersection points:  x2 + y2 - 4ax = 0                                                          ...

Q: x= y? – 4y (-3, 3) x = 2y – y²

A: Solve

Q: 3. Suppose that a function f has the following Maclaurin series: (-1)n+1 -(x – 3)" 3"n n=1 Find the ...

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Q: 3n (2х — 1)8 п4 + 1 n=1

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Q: 0 if x V2. Prove or disprove that f is continuous.

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Q: Find for the given function. dz? w= 10z2 ez dz 2)

A: Use dervative rule

Q: xcscx g(x) : 3-cscx

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Q: x²dx Evaluate | x²Vx2-4

A: We can evaluate the answer as below.

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

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Q: Vx- 2 dx E+ 1)

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Q: "iew Policies Current Attempt in Progress Find the vector component of v = 2i – j+ 3k along b = 6i +...

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Q: A child is flying a kite at a height of 40 ft, that is, moving horizontally at a rate of 3 ft/sec. I...

A: Given:      Height of kite =40 ft      Rate of moving kite =3 ft/sec      Length of the string relea...

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x² – ...

A: Given: y2=9x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to...

Q: Evaluate the following limits. 1. lim(1+ Vw)(2–- w² + 3w*) w+1 12 - 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 3. a) Find polar coordinates (r, 0) of the point (1, -/3), where r> 0 and 0 <0 < 2 p2 = x² + y?, tan...

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Q: Cami plays softball. The table to the right shows the frequency of the number of hits she has per ga...

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 2(x² – ...

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Q: Find the length of the arc of the curve 4y² = 9x³ from the origin to the point (2,3v2).

A: Arc length of a curve y=f(x), x∈[a,b] is given by,          L=∫ab1+y'2dx ∫xndx=xn+1n+1+C, C is a c...

Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1, –4, 2), and D(4,1, –8). (a) Find the volume of t...

A: The volume of the parallelepiped spanned by vectors a→, b →and c→ is given by a→×b→·c→ We know that ...

Q: dy If y = In V4x² + 5x_then dx

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: Instruction: Answer the following. Show all your solutions. For items 1 and 2: Given f(x)dx = 4; f(x...

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Q: Find the area bounded by y = sin²(x) and y = sin5(x) from 0 < x<

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