Factor each differential operator. (Note: The method of factoring polynomials can be applied here) 1. D' + 4D 2. D + 8D+16 3. 4D - 4D-15

Q: Given the function g(r) = (r – 4)(r + 2)(r – 1) its g-intercept is its r-intercepts are

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Q: Concavity and points of inflection. Answer the following questions using the function f(z) = 3 In(36...

A: when the second derivative is positive ,  the function is concave upward. When the second derivative...

Q: 5. (4xy + 3y2 - x)dx + x(x + 2y)dy = 0

A: Integration factor of differntial equation

Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.014 per p...

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Q: Graph f(x) = 22–6œ+6° e* Be sure to have gathered all asymptotes, intercepts, critical numbers (max/...

A: To graph the function including all the properties of function

Q: Consider the function f(x) = 2x° + 12x² – 192x + 1, – 8 < ¤ < 5. This function has an absolute minim...

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Q: (iii) An oil refinery R is located on the north bank of a straight river that is 4 km wide. A pipeli...

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Q: TRIPLE PRODUCT Ex07 Determine the triple product of the following vectors A= 2i+ 3j +4k B= -3i+6j-4k...

A: The objective of the question is determine the triple product of the given vectors.    

Q: (2ху + у)dx + (x? — х)dy %3D 0 -

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Q: Practice Problem 4: The trajectory defined by the parametric equations: x=t , y=t° +t² – 27t, <t<∞ l...

A: Given that: x=t2y=t3+t2-27t, -∞&lt;t&lt;∞

Q: Which of the following is NOT a separable differential equation? A(x-2y) dr+ (2r +y)dy=0 B xy dr – (...

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Q: Solve the Linear Higher Order of differential equation using the formulas below. (D² – 3D + 4)(e* co...

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Q: Evaluate the integral. 4 x1/2(5 + x3/2)5 dx

A: Given integral is ∫4x125+x325 dx. We solve the integral using substitution  method.

Q: Find the value of x for which the derivative is zero. y=x3+4x2-3x-5

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Q: Botenmine f the fimotnon is cominuous or discominuous (removandte fessemman) at a giren polm. Shotch...

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Q: dy =ky, where k is constant and y=6 when t=0. Also suppose that y=8 when t=3. what is the correct va...

A: Solution:

Q: Suppose (1) - ". "Srw)dema/r=5v + C, tor constants A and C. what is the value of A? write the answer...

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Q: 7π/4 Evaluate the integral (sin x+ cos x) dx using the fundamental theorem of calculus. Discuss 2+ y...

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Q: (b) limx tan

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Q: Σ 00, (x- 3)" n=1°

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Q: 5 f(x) =- . If 4х — 3 =AV 4x - 3 +C, for constants A and C, what is the value of A? Suppose %3D

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Q: e" Graph f(x) = @2–6x+6* Be sure to have gathered all asymptotes, intercepts, critical numbers (max/...

A: Find Asymptotes, intecept, critical numbers, increasing/decreasing intervals, concave up/concave dow...

Q: Find f given f'(x) = x² – 6x + 6 and f(9) = 13 O f(x) = 3x - 3x? + 33 O f(x) = 2x2 – 6 + 40.5 O f(x)...

A: To find the value of f(9) we first find the value of f(x). Now given that f'(x)=x2-6x+6  ,to find f(...

Q: Sana wants to recycle some elliptic cardboard into rectangular name plates. The minor and major axes...

A: Given problem is : Sana wants to recycle some elliptic cardboard into rectangular name plates. The m...

Q: -Inx 2. S 'ye*dzdxdy

A: We need to evaluate the given integral: ∫12∫yy2∫0ln xy ez dz dx dy This can be evaluated as follows:

Q: 6. х" — 16х %3D cos 2t

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Q: For the following exercises, find the antiderivative of the function, assuming F(0) = 0. 517. [T] f(...

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Q: Use the reduction formulas to reduce sin^4 θ to only linear powers of cosine (cos(θ) = ”linear”, (c...

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Q: Solve the Linear Higher Order of differential equation using the formulas below. (xD — 2)(xD + 1)е-2...

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Q: The definite integral /. '(tan2(x) + sec2(x) ]dx when evaluated is equal to AV3 + Br, where A and B ...

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Q: 2. A tank contains exactly one kilogram of water consisting a liquid and vapor in equilibrium at 1 M...

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Q: A radioactive element has a half-life of 55 days. What percentage of the original sample is left aft...

A: we have to find the percentage

Q: A 1500-gallon tank initially contains 600 gallons of water with 5 lbs. of salt dissolved in it. Wate...

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Q: Convert. 12 feet = yards ..... 12 feet = yards (Type a whole number or a decimal.)

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Q: Answer the following questions. a. Write an expression that represents Kristin's height above the ce...

A: Here we solve the given problem. 

Q: dy = 4sin( 2x) and y=2 when *x= dx Suppose What is the particular solution to the given differential...

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Q: Which of the following is NOT a separable offerential equation? y dy me de a dr-V4- dy =0

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Q: The population (in millions) of a city t years from now is given by the indicated function. P(t) = 2...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate the following integral in cylindrical coordinates. 4 16-x 3 3. 1 -dz dy dx 1+y2 +y° -4

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Q: 311. When you find the maximum for an optimization problem, why do you need to check the sign of the...

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Q: (iii) Let g(x) = tan-1x + (a) If the curve y = g(x) has any horizontal asymptotes write the equation...

A: Horizontal and vertical asymptote

Q: Concavity and points of inflection. Answer the following questions using the function f(z) = 3 In(36...

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Q: For the following exercises, determine the area of the region between the two curves by integrating ...

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Q: 5) Given the complex number z = -3+ 3i, a) Write z in polar form. b) Find z2 in polar form.

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Q: Definition: The collection of all antiderivatives of f is called the indefinite integral of f with r...

A: The given integral is: I=∫21-x2dx Substitute x=sint⇒dx=costdt    

Q: Consider the function f(t) = 8 sec²(t) – 5t². Let F(t) be the antiderivative of f(t) with F(0) = 0. ...

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Q: | V2x – x2 dx

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: Suppose f(x) = Vx+1 . Evaluate: / r(2) dr

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