Find the next number in the sequence 4,16,64,256

Q: 6x2 + 23х — 9 -dx х3 + 2х2 — Зх

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Q: Find the most general antiderivative of the following functions. (a) f(x) = 3/x-2cosx-10/sqaure root…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: 6. Which of the following vectors are linear combinations of the vectors in S? 6. a. v = | 5 T;S =…

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z - 10, (2, 3,…

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Q: Evaluate the integral. 4 f(x) : 16 – x2 if -4 < x < 0 0 < x < 4 f(x) dx where if

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Q: Find the angle 0 shown in the right triangle below. 10 Give your answer in radians and rounded to…

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Q: Consider the following. 6. 13 In(x) dx Let u = In(x). Find du. %3D du = dx Indicate how the limits…

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Q: sin(x4) lim X-0

A: The given limit,       limx→0sinx4x

Q: 4.

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

Q: |2| ex dxdy = 2 y The integral 4 4 Select one: True O False

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: The given equation is: 5x2=61-x   As we know that; logaxb=b·logax ; x≥0

Q: INDICATE If THE folLoWING ARE ALWAYS TRUE, ALWAYS facse, OL MAY 3E TRUE. Ex PLAIN OR CIUE COUNTEe…

A: We have to check given information true or false

Q: (a) Use differentiation to find a power series representation for fx) = (3 + x)2" Σ 00 n = 0 What is…

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Q: 3. A sector of radius 10 cm and angle Oradians is bent to form a conical cup as shown: ignore the…

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Q: Use Alternating Series Test

A: ∑n=2∞ -1nlnnn2

Q: Differentiate the function. s(t) = 2t – 4(2t4 + 3)3 %3D

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Q: 4x3/2-1 (a) f(x) = (b) g(x) = 3e" +sec? a h(x) = 8 sin x (c) 4 1+x? (d) f(1) = 5 cos x V1-a2

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Q: 00 Does the series (-1)n+15+n" 5 converge absolutely, converge conditionally, or diverge? n=1 Choose…

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Q: a cost function of C=16x2−133x+9878C=16x2-133x+9878, where CC is the cost in dollars and xx is the…

A: Given query is to find the units to minimize the cost.

Q: Find the change in cost C for the given marginal. Assume that the number of units x increases by 3…

A: We have to find the change in cost C.

Q: 13. A town's population in 2000 was 36,000 people. In 2005 the population had risen to 54,750.…

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Q: "roblem #5: Use the divergence theorem to find the outward flux F.n dS of the vector field F =…

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Q: 5. The graph of f (x) is shown in the figure. Let YA y = f(t) A(x) = f f(t) dt F(x) = f(t) dt Area =…

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Q: Find the average value over the given interval. -X. y = 5 e [0,4] The average value is

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Q: Find the amount of an annuity with income function c(t), interest rate r, and term T. (Round your…

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Q: y = log, Vx? +1

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Q: 5. harmonic oscillator is The initial value problem which describes the motion of a certain undamped…

A: We have to solve the problem and find the amplitude and period.

Q: a) Find the area of the triangle with vertices A(-2,5,1), B(3,-5,-2) and C(3,2,-4) using vector…

A: see below the answer and calculation

Q: B. Solving. For each of the following, show complete solution. Determine the antiderivative of the…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (3, 4,…

A: Let's find.

Q: 13x2 — 8х Find the horizontal asymptotes of f(x) = 14x2 + 5 (Use symbolic notation and fractions…

A: If the degree of numerator and denominator of the rational function is equal then the horizontal…

Q: Find the derivative, r'(t), of the vector function. r(t) = cos?(at) i + tebtj + s²(at)i sin?(ct) k…

A: Given that       r(t)=cos2(at)i + tebtj + sin2(ct)k

Q: following integrals 3 a) Evaluate IT2-4xy+4y² dxdy=? 0, 0.

A: Given that the double integral To find evaluate the double integral

Q: 2. A particle is moving with acceleration a(t) = x - 3 sin(x). Find the velocity and position…

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Q: 1. f o¬* xy dy dx О а. 32/3 O Б. 16/2 Ос. 32/4 O d. 18/4

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Q: Describe the given region in polar coordinates. R:OsrsOOs0s (Type exact answers, using x as needed.)

A: The given region represents areashaded between two circles:x2+y2=32x2+y2=42In polar coordinates;x=r…

Q: 14. (a) For the angle = Name the quadrant the angle lies in and its reference angle/number

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Q: x =t° +1, y= t -t d'y b) Find dx? Show all your work.

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Q: Question Given the triangle below, find the angle 0. 19 10 Give your answer in radians rounded to…

A: We have to find angle theta in radian

Q: 1 dx xV9x² + 4

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Q: Evaluate the definite integral. t1/3 t2/3) dt 3 20

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Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

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Q: 5. Determine the inverse Laplace trans- form of the given function. 7s2 - 41s + 84 (b) (s – 1)(s2 –…

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Q: 7 p(x) = iven the expression Vy7 – 2 this mathematical expression stated correctly.

A: Given query is to find expression is correct or not.

Q: y = 2x' - x' +x+1 when x =1

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Q: The velocity of an object is given by the velocity function v(t) = t/42. If the object is at the…

A: Given query is to find the the position at t = 20.

Q: Return Submit 40 year population (millions) 39 2010 36.5 38 2011 37.7 37 2012 38.2 A 2010 2011 2012…

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Q: please sir solve question part (d), in the picture, not that its not a graded question

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