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A: Topic = Integration
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Q: State where the power series is centered. (-1)"(9n – 1) 9 n! n= 1
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Q: . Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of rad...
A: Given problem Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 1...
Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Vx² + y...
A: A differential equation of the formdydx=f(x, y)ϕ(x, y) is called a homogeneous equation if each term...
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Q: given Fixsy) = (I-x3_y3)3 what is
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Q: Evaluate and simplify y'. 3 y = csc°(6x)
A: Evaluate and simplify y' . y=csc36x
Q: 4. A probability density function is given by [0, 4, if x 2 1, if x < 1 8(x) = A where A is a positi...
A: We will use properties of pdf( Probability density function) to find value of A.
Q: S S cos (y³) dæ dy 0 < x < y? and 0<y<1 4 decimals
A: The double integration of cos(y3); 0<=x<=y2; 0<=y<=1.
Q: PLEASE HELP ME ANSWER WITH SOLUTIONS 5,6 1. A rectangular page is to contain 50 square inches of pr...
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Q: 6) What are the real and imaginary parts of (1+i)exp(-it/4)/v/2? 7) What are the real and imaginary ...
A: First we simplyfy then find real and imaginary parts.
Q: Determine the length of x = 4(3 + y)* , 1<y<4 %3D
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Q: (y² + xy³)dx + (5y² – xy+ y³ sin y) dy = 0 Let M = y² + xy³ and N = 5y² – xy + y³ sin y 1 /дм 12. M\...
A: Given M(x,y)=y2+xy3 and N(x,y)=5y2-xy+y3siny
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Q: Use the ratio tl to determine if the sequence {ne" }, is strictly increasing or strictly decreasing....
A: Please see the below picture for detailed solution.
Q: What is the particular solution to the differential equation y -2x 3y2 – 2 with y 1 when dy x= 1?
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Q: 5. Evaluate J2xdx, a, x' +c b. x+c C. 2x+c
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Q: Determine the focus and directrix of the parabola with the given equation. Sketch the graph, indicat...
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Q: Which of the following best describe/s the derivative of a function? I. The slope between any two po...
A: the deriative of function dy/dx is give the slope of function rate of change and (y1 - y2)/(x1 - x2...
Q: S 4G- e-) cos (e?+ Inz) dz | A 4 sin (e-z+ In z) + C C sin (e-2 + In z) + C 4 sin (- e-) + C sin (- ...
A: Solving the problem by finding the integration.
Q: 15. Radium decomposes at a rate proportional to the amount present. If half of the origi amount disa...
A: let x be the quantity of radium at a time t . dx/dt =kx dx/x = kdt Integrating, logx = kt + logc...
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Q: 10203040-10102030405060-10 You are a lifeguard and spot a drowning child 40 meters along the shore ...
A: Follow step 2 and 3.
Q: а. Suppose f(х) — 4а* — 1139х — 93. 4x? i. What monomial expression best estimates f(x) for very lar...
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Q: How y The Salid shown in figure consists of a Cene of radins(r) and height (hi) and a cylinder ofrad...
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Q: Compute the value of the following improper integral. If it converges, enter its value. Enter infini...
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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the cons...
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Q: Use the formula for the binomial series: 1+ mx + 2! mm-1),2 + m(m-1).--(m-k+1) +... (1 + x)™ = ... +...
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Q: Given cost and price (demand) functions C(q) = 120g + 42,000 and p(g) = - 1.9q + 870, what is the ma...
A: Given that cost and price functions are C(q) = 120q + 42000 and p(q) = -1.9q+870
Q: PLEASE HELP ME ANSWER WITH SOLUTION 2 1. A farmer plans to fence a rectangular pasture adjacent t...
A: 2. A rectangular page is to contain 50 square inches of print. The margins on each side are 1 inch.
Q: Given cost function C(g) = q° - 130q + 24000q, what is the minimum average cost? A It would be $ per...
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Q: Given cost and price (demand) functions C(q) = 120q + 42,000 and p(q) = - 1.9q + 870, what is the ma...
A: Given query is to find the maximum profit possible.
Q: dx dx X -X |xVx* - 1 e"+ e
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Q: 5. Which of the following equations is not a variable separable? dy dy (b) dx ху + 3х — у —3 (a) e3r...
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Q: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves defi...
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Q: A polynomial f(x) and one or more of its zeros are given. f) =4x-43x²+134x-78 2. 5-i is a zero Part:...
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Q: Consider the rational function 2x4 + 9x + 18 f(x) 7а2 — 11 - a. What monomial expression best estima...
A: The given question can be solved as shown in step2.
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Q: Show that the sequence 5n n=1 is eventually strictly increasing or eventually strictly decreasing. A...
A: Given is the question of sequence and series.
Q: 2. The equation y² = cx is the general solution of which of the following differential equ tion? dy ...
A: y2 = cx ...(1)c=y2x ...(2)differentiating w.r.t. x;2y dydx= c (1)dydx=c2ydydx =12yy2xdydx =(y2x)
Q: Calculate the derivative of the following function. y=f(g (5x*)), where f and g are differentiable f...
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Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...
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Q: Find the Maclaurin series for the func f(x) = cos 2x %3D f(x) = %3D n=D0
A: given:f(x)=cos2x
Q: Find each limit ) li sinh) O li x→o+ ( - ex -I 3 li ×→マ 4 li ( Inx)' ×→や x³+8 Xtる lin x→ -2
A: First we take logarithm on both side then using l hospitality rule.
Q: Зх + 7y h(x,y)%3D find and dx ду ху - 10
A:
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