Consider the function f(x) x + 4 a. Complete the table of values below. 1 f(æ) x + 4 -100000 -10000 -100 100 10000 100000

Q: In the tank of 100 liters of brine containing 55kg totally dissolved salt. Pure water is allowed to ...

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Q: Determine if whether the given function is a solution of the differential equation. C-e* y' 2y+e* fo...

A: The given differential equation is y'=-2y+ex2x  for  x>0

Q: lim tan?(3 + Ar) – tan²3 Ax-0 Ar ib. Compute by interpreting it as a derivative.

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A: Given:    y=6x-x2   y=x2-2x     y = -1  

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Q: 2 6. dx (sin x – cos x)?

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A: topic - polynomials  a polynomial is an expression containing indeterminates and coefficients, that ...

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A: In this question we have to find first taylor polynomial.

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Q: A tank contains 100 gal of brine made by dissolving 80 lb of salt in water. Pure water runs into the...

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Q: n2 Find lim if it exists. Be sure to show all of your work. n-00 en 2.

A: topic -limits

Q: (f(x² + 3x)) dx

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Q: If the appropriate substitution is made for the Bernoulli equation below, what will be the integrati...

A: Given differential equation : dydx-3y cot x2=sin 2xy ⇒ydydx-32y2cot x=sin 2x Let assume t=y2⇒dtdx=2y...

Q: Question 10 Which among the following is NOT a LINEAR first order differential equation? dr O (1+ co...

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Q: Solve for w when f(w) = 0 where f(w) = 15w² - lw - 2. w = Write your answers as a list of integers o...

A: topic - quadratic equations

Q: Which of the following substitutions will convert the differential equation to a Bernoulli equation?...

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Q: g'(x) -2 -1 -1 6. Given the (incomplete) table of values above, calculate the following (a) (ƒ o g)'...

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Q: Find the Jacobian of the transformation T : (u, v) → (x, y) when x = y = 4и — v 5u + 4v -

A: Jacobian of the Transformation.

Q: 3)(2x-ズ) ax

A: First I have split the integral in two parts then just use the rule of integral and find the require...

Q: d (c) (cos(2²) + In(3 – 2æ)) dx

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Q: A house was valued at $100,000 in the year 1985. The value appreciated to $160,000 by the year 2000....

A: topic - exponential function

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A: Given,  about x=9-y^2, y-axis; about x=9

Q: What is the slope of the normal ine to the curve y=In(xª+1) at x=1, -2 -1/2 1/2 D) 2

A: Product of slope of the tangent and normal line is -1.

Q: dy The appropriate substitution to solve da + In(z + 1)! = x°y3 is O z = y? O y = vr O z = y* O z= y...

A: Topic:-  differential equation

Q: Solve the following DE: (2ay? +3x?) dx + (2x²y+ 4y) dy=0 O a'y? + x³ + 4y³ = C O a²y? + a + 2a'y? +4...

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Q: what is the antiderivative F(x) 0f f(x)=3x^((1)/(2))-x-1that satisfies the condition F(4)=0 A, 2X3/...

A: Given that:f(x)=3x1/2-x-1, F(4)=0

Q: 7. Find the volume and centroid generated by revolving the given plane area about y^2=4x, x=4; about...

A: Given that - y2 = 4x, x = 4; about x = 4

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A: As we know that; A polynomial function y=fxgx is continuous everywhere except such x where gx=0.

Q: Question 6 Which of the following is a possible solution to y" +k?y =0 O y= 2 cos kx O y= k sinx %3D...

A: We have to solve

Q: If sin 0= e in quadrant II, find the exact value of 8 (а) cos @ (b) sin 0+ 6. (C) cos (d) tan 0+

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 1 Σ sin n...

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Q: --L-1 10 ----- 8 2 -10 -8 –6 -4 -2 0 2 10 -2 III I --L-1-, -6 -L-1 -8 -I- - - --10 -I- --L. L-1. 4.

A: Domain of the graphed function is the set of values on x-axis from left to right.

Q: If the appropriate substitution is made for the Bernoulli equation below, what will be the integrati...

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Q: A 5.1 ft tall man is walking away from a 26 ft tall lamp post. If he is walking at a rate of 2 ftl/s...

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Q: A thin sheet of ice is in the form of a circle. If the ice is melting, at what rate is the radius de...

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Q: Given the following differential equation ycotx with the boundary y = csc x condition y () What is t...

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Q: Use the information given about the angle 0, 0s00 (a) sin (20) (b) cos (20) (C) sin 2 (d) cos

A: Given that secθ=9, 0≤θ≤2π,  sinθ>0By using the given information finda)sin2θb)cos2θc)sinθ2d)cosθ2...

Q: Determine the vertical asymptotes of the following functions without using a graphing calculator. En...

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Q: It is estimated that a worker in a shop that makes picture frames can paint y frames t hours after s...

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Q: dw -is equal to: dv If w = 5u, then 5w5 v(1 – 20u In v) 5w v(1 – 20w5 In v)

A: Given, w= v5w⁴ To find, dw/dv

Q: State the domain of the given piecewise-defined function, using interval notation. х — 2 if 3 9. -

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Q: 9. Find the differential of f(x) = e* at 1 with increment of 0.2. A. 0.2e B. e0.2 С. е D. 0.1e E. No...

A: Given query is to find the differential of f(x) using increment.

Q: x? dx 3. J Tx? + 4)²

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Q: 8. Find the volume and centroid generated by revolving the given plane area about y=x^3, x=0, y=8; a...

A: y=x3,x=0, y=8To Find: Volume and centroid generated by revolving the plane area about y=8.

Q: what the limt \lim_(n->\infty )\sum_(i=1)^n ((2)/(x_(i)^(2))) as a definite integral over the interv...

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Q: This is determined by the largest derivative, or the highest level of differentiation, present in a ...

A: The highest level of differentiation present in a differential equation is known as "order" of the d...

Q: A tank contains 100 gal of brine made by dissolving 80 lb of salt in water. Pure water runs into the...

A: We need to find amount of salt at time t.

Q: Solve for a in terms of a and b. log x = 4(log a + log b) + 8 log 62 + 3(1log b- log a) | Write your...

A: topic - logarithmic function x = a-7b15