Find the equation of the vertical asymptote f(x)=log(x+4

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A: This question can be solved by applying the formula of equation of tangent plane to the given surfac...

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Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 5e* (Express numbers in exact form. ...

A: Maclaurin series :    f(x) ≈ ∑k=0∞ fk(0)k! xk = f(0) + f'(0) x + f''(0)2!x2 + f'''(0)3!x3+... du.v.w...

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Q: terms of the variable. dx 140 (1+x² )?

A: Given problem:-

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Q: Consider the following initial value problem. The exact solution is provided for you to compare with...

A: In order to calculate y(1) we need to calculate h and solve step wise using Euler's formula.   

Q: Find the equations of a Tangent line in a given curve to the given value of x. * -1 y =tan x, x = 1

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Q: 7. Find the dy/dx of * y = In sin 5x

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Q: 2x – x° dx (x – 1)° (x² + 1) 8.

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Q: 2. Use the previous item to determine if the improper int 2x – x3 dx (x – 1)2 (x² + 1) - 1:. TE :4

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Q: Find the first five terms of these recursively-defined sequences: 9. a1 = 2, an = 2an-1 - 5

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: A company estimates that it will sell N(x) units of a product after spending $x thousand on advertis...

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +...

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Q: a) Determine the derivative of the function f(x) = (x + 1)³(3x – 5)*. Write your answer in simplifie...

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Q: 1. Given y = log3 9. The value of y= 2 2. If log(x + 2) = 4, then the value of z is 9998 3. If log, ...

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Q: lim V9(x) Choose

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Q: Find the slopes of the curve y =y? -x at the two points shown here. V3 The slope of the curve y = y2...

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Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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Q: Write out the first four terms of the Maclaurin series of f if f(0) = 9, f'(0) = 4, f"(0) = 14, f"(0...

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) E(...

A: Geometric Infinite series :     An infinite geometric series is the sum of an infinite geometric seq...

Q: f(t)=t2 and g(t)=t, then the Wronskian W(f,g)(t) is: (A)-t2 (B) t-t2 (C) t (D) t2

A: Given query is to find Wronskian W(f,g)(t).

Q: Find the Taylor series centered at c = -1. 7 f(x): %D Зх — 2

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Q: Homework: Homework 1 Find the domain of the function. if x=8 f(x) = x2 if 1sx< 8

A: We will find the domain in interval notation. 

Q: Complete the analysis and sketch the graph of the function y=x3 -x2 -8x+8. The answer should include...

A: We can analyse function as follows  

Q: 5. Determine whether the function f : R+ → R defined by the rule f (x) = positive real numbers x in ...

A: A function is said to be bijective if the function is both one one and onto. The given function is f...

Q: . (Subsonic flight) The efficiency of the engines of subsonic airplanes depends on air pressure and ...

A: y'(x) ∝ ydydx = -k y(Pressure decrease with moving above sea level)∫ dyy = ∫ k dxln y = -k x + ln Cy...

Q: 15. Write a value in the box below that make the equation true. 1 log, 18 = 2-log, 6 - 4 log, %3D 3

A: Given query is to find the unknown value of the box .

Q: t' sin (2t*) dt Evaluate O 1/8 t^4 sin(2t^4) - 1/16 cos(2t^4 )+c O -1/8 t^4 sin(2t^4 )+1/16 cos(2t^4...

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Q: evaluate fsin.x dx inx dx JT+sin x A secx- tanx - x +C B secx + tanx +x+C C) secx + tanx - x + C

A: Here we have to evaluate, I=∫sinx1+sinxdx

Q: use implicit differentiation to find ay for x°-xy+y°=4.

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Q: 5. The electric potential is V volts at any point (x, y) in the xy plane and V = e-2" cos(2y). Dista...

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Q: What is the difference between a relative extremum and an absolute extremum? Choose the correct answ...

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Q: 1 dx (V[1 - (In(x))?) X

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Q: 12x Find a power series for f(x) = |x| < 1 in the form E an. (x² + 1)* n=1

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 4 += +- ...

A: Check series convergent or divergent. By using comparision test.

Q: Given the graph below, evaluate the following limits: = b Retrieved from:basiccalc_initial_release_1...

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Q: Solve : 737+8 – 492r+7 %3D x = -6 O r=1 O r= -22 x = x = 22 x = 15

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Q: Determine point(s) where the tangent

A: First we find out the slope of given Line and curve then find out the point.

Q: E Homework: Homework 1 Question 7 Find the domain of the function. 10 g(x) = 5 - 6x C .. Select the ...

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Q: 4. Find the distance traveled (arc length) of a point that moves with a constant speed of 2.8 m/sec ...

A: Here we have to find the distance traveled of a point that moves with a constant speed of 2.8 m/sec ...

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(8,0,8) on the su...

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Q: A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to produce each bic...

A: We have to find total cost of function and interpret C(90).

Q: what is cos(tan^−1(−1/2))

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Q: 2. Use the previous item to determine if the improper integ 2x – x3 d.x (x – 1)²(x² +1) 8∞ converges...

A: This is a problem of improper differential equation. First by partial fraction decomposition we will...

Q: 8x+ x-8x+10 3. 2 dx x(4x-4x+5)

A: To find out the integration of the function.  

Q: Question 1 Estimate the area of the curve y = x from x = O to x = 3 by using 6 rectangles and left e...

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