Differentiate the function after first rewriting the function in a different form. (Do not use the product or quotient rules.) f(x) = x3(x + 8) f'(x) =

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A: limx→a f(x)=L if and only if limx→a+ f(x)= L=limx→a- f(x).

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A: Topic:- complex number

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Q: I Evahuate and solve the linear differential equations (D5- 15 D3+ 10D2+ 1. GOD - 72)y = 0

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Q: 18) tan- V3 V3 20) tan 3.

A: Given:- 18 tan-1(√3) 20.  tan-1(-√3/3)

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Q: QUESTION 1 Which is the best descriptor of the level curves for a function f(x.v)? a. A selection of...

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Q: Write the equation of the tangent line to the graph of y=x2  the point where x=2.5

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Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t ...

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt, x(0)=0...(ii),dxdt|t=0=8...

Q: Solve the differential equation: (2y+3)y'=-(1-3t²)

A: Given that: (2y+3)y'=-(1-3t2)

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Q: 2. (3x-y-4)dy -(x+y-4)dx=o

A: Given :

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

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Q: Evaluate the integral į. I. (1 - x - x² – y²)dA Where R is one-unit circle on the xy-plane.

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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Q: Suppose we need to find an equation of the plane that passes through (1, 2, -2) that contains the li...

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Q: Consider the region bounded by y = x and y = Vx, shown below. Find the volume of the solid obtained ...

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Q: Consider the following. y = tx2 + t8x Find dy dx dy dx dy Find dt dy dt

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Q: Estimate the value of im (v?+x+2+x) X- -00 by graphing the function f(x) = V x² + x + 2 + x. (Round ...

A: Given f(x)=x2+x+2+x  

Q: Divide the numerator and denominator by the highest power of x in the denominator and proceed from t...

A: NOTE: Refresh your page if you can't see any equations. . factor out x2

Q: 7. Consider the region above the r-axis and below y = e=² with x > 1, shown below. 1. Consider a wiz...

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Q: ne integrals might seem complicated. But they will simplify significantly if you look at m in the ri...

A: Numerator Cos3 θ+ 2 Cosθ sin θ  - 3 cos θ Cos θ(Cos2θ + 2 Sin θ - 3) Cos θ(1-Sin2θ + 2 Sin θ - 3) Co...

Q: 13) sin- 15) tan--1 1/-

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the give...

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Q: Let z(x, y) t° & y = 1+ 6t. = xe9 where x = dy and using the chain rule. dt dx dz by first finding d...

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Q: Answer the following True or False: Since the chain and product rules give: d f(r) da g(x) d. f(x)(g...

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Q: Use the quadratic formula to solve the equation. (Simplify your answer. Type an exact answer, using ...

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

Q: Math 150 PO1 Homework: HW 2.6 Part 1 Applications of Derivatives Question 8, Instructor-created ques...

A: height of ball is given by f(t)=-16t2+298t+22 we want to find velocity of ball at height 120 feet

Q: 3.9 3.99 3.999 4 4.001 4.01 4.1 f(z) 4.9 4.99 4.999 8.001 8.01 8.1 lim f(1) appears to be O 5 08 09 ...

A: Find the limit of the function at different from the given table .

Q: Consider the function f(x) given by the graph below. y -5- f(x) -5 Determine the limits. If a limit ...

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Q: 15) tan- -1 Vz 17) cos -1 19) tan 1

A: topic - Inverse trigonometric ratios

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Q: Solve the following DE, using Separable method. y'In ly| +x*y =0.

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Q: Зx2 + x + 31 Вх + С + x2 +9 A (x + 4)(x² + 9) x + 4 A = B = С - Now evaluate the indefinite integral...

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Q: り のx + ex t 1tx - dx x* + 2x t 5

A: (i) ∫dxx=ln(x) (ii) ∫dxx2+a2=1atan-1(xa) (iii) ∫xndx=xn+1n+1, for any real number n.

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A: Given:       dy-ylnyecosxdx=ysinxdx

Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

A: Solution: Given that  x: selling price of the buko

Q: Differentiate the function after first rewriting the function Tn a different form. (Do not use the p...

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Q: Example 19-24. Given log1, 654 = 2-8156, log, log10 658 = 2-8182, log10 659 = 2-8189, log 10 661 = 2...

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Q: ECR 9s a sordon Area cvol CE) =V0ICE) ean Yntegraole on E Sand 主 After thet desariptron. 1ntegroble ...

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