Find the maximum or minimum value of the quadratic function g(x) = 2x + 6x + 3.

Q: sin(ln x) r→0+ In(sin x) Use Squeeze Theorem to evaluate lim

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Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and fracti...

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Q: State whether the sequence, whose nth terms are indicated, is bounded and whether it is eventually m...

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 4n? + 8n +7 а, —...

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Q: b) Find the specific solution to the following 2nd order non- homogeneous differential equations d²y...

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Q: The doubling period of a bacterial population is 20 minutes. At time t = population was 90000. 100 m...

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Q: What is the value of the discriminant whose root are real,rational,and equal?

A: Given: - The discriminant whose roots are real, rational, and equal. To find: - The value of the dis...

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about a = x0 and then find the nth Taylo...

A: The formula for the Taylor polynomial of degree n is: pn(x)=f(x0)+f'(x0)1!(x-x0)+f''(x0)2!(x-x0)2+.....

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: An infinite series  a+ar+ar2+ar3+.....∞=∑k=1∞ark-1 converges if r<1 and its sum is S∞=a1-r 

Q: II. Find the derivative of the following functions. 1. f(x) = x3+x x4-x2+1

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Q: . Find two positive integers such that the sum of the first number and four times the second number ...

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Q: A ball is launched vertically upward with a velocity of 128 ft/s, so its position function can be mo...

A: Given that - A ball is launched vertically upward with a velocity of 128ft / s so its position funct...

Q: • The domain of h is [-3, 3]. h" (x) 0 on -3 < a < -1 or 1 < <3 • There is a local maximum point at...

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Q: r(t) = t? i + 2t j, t = 1 Find the tangential and normal components of acceleration

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Q: Find the derivative of the function. 7. x3 + 2 y = e

A: Given:         y = e x3+27

Q: * Proferties of Deta If (Alis a square matrix for eXamlle A=

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Q: Problem 2: Group 1: Representation and Quantity to be Maximied/Minimized

A: We will find the area. 

Q: 2. Convert 48 and 95 from base-10 to bases 2, 3, and 4, respectively. Show work. 3. Convert 132 and ...

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Q: Find the volume V of the solid obtained by rotating the region bounded by y = sin(x?) and the x-axis...

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Q: Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thou...

A: Given query is to find the solution of the expression.

Q: Given the matrix 0 -5 11 6 Introduce the "- R" term to the diagonal of the matrix. -5 - R (A 11 - R ...

A: Given query is to add -R in diagonal of matrix.

Q: Question dy Using implicit differentiation, find dx 3 cos (2x) sin (3y²) = 1 – 5x Provide your answe...

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Q: Evaluate the following limits if they exist. 1 — х — е" a) lim 2(1 — е") b) lim (1 + sin x)'/= sec x...

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Q: The following formula gives the probability of being dealt a full house (three cards of one kind and...

A: topic- permutation and combination

Q: antl to determine if the sequence ne"} is strictly increasing or strictly decreasing. an Use the rat...

A: Ratio test:

Q: Use the method of your choice to determine the probability below. Three rainy days in a row when the...

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Q: c). Classify the equation below with all the possible characteristics and properties of a differenti...

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Q: The half-life of cesium-137 is 30 years. Suppose we have a 190 mg sample. (a) Find the mass (in mg) ...

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Q: 2. f(x)= Vr² +x+1 %3D

A: Let's find. 

Q: Let C be the curve y = x + In x for 1<x < 4. (a) Set up, but do NOT evaluate, a definite integral fo...

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Q: e) proj(a onto b)

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Q: Raggs, Ltd, a clothing fim, determines that in order to sell x suits, the price per suit must be p= ...

A: Find your answer below 

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about I= 1o and then find the nth Taylor ...

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Q: Find k (curvature) and t (torsion) for curve C represented by F(t)=(e^t,-e^t,(2t)^1/2)

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: e3x dx be given, If u = e* + 1, then the resulting integral is Jf(u) du. Compute f(5). Let ex +1 2 A...

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Q: is The value(s) of p for which the series 2n=1 (1+n*)=P convergent using the integral test: A) p2 1....

A: Here we have to find the value of P for which the given series converges.

Q: (0) E sin ) sin 2(n+ 1) - n=1

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Q: 2 tan (4x – 1) – 3 cos?(4x – 1) cos (4x – 1) If we let u= 4x - 1 for the integral of dx, what will b...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: naximum revenue, and 5. Determine the net change and the average rate of change for the function f(t...

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Q: Consider the series. 8 8 + 3 8 8 + .. 34 32 33 This can be written as a geometric series in the form...

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Q: Using u-substitution, the integral Jf(x)dx reduces to a new integral J glu) du. If g(u) = u+1 , eval...

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Q: b) (a•b)x(cxã)

A: We have to check in part  (b)  scalar, vector or meaningless

Q: S' 2. a Find Ay and f'(x)Ax for y f(x) = 9x°, x= 4, and Ax = 0.04. (Round to four decimal places as ...

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Q: an experiment in which a coin is tossed thrice. Let X be the number of heads. Find the mean, varianc...

A: We will find mean, variance and standard deviation

Q: Calculate arc length between s=0 and s=a

A: We need to find arc length.

Q: Given 1. In the sequence 0 ,-5, -10, -15, what is the 3rd term? 2. If az = -3, d= 4, what is the 1* ...

A: AP 

Q: Given: 2f(x)dx There is a function f(x) such that when u= - x°, the resulting integral is 2 du · Eva...

A: Given query is to find the the value of the indicated function.

Q: 2 tan (4x – 1) – 3 cos?(4x – 1) cos (4x – 1) If we let u= 4x -1 for the integral of dx, what will be...

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