Use continuity to evaluate the limit. 8 + Vx lim 8 + x

Q: Condense the expression to the logarithm of a single quantity. 4 log (x) log4(y) - 3 log4(z)

A: Given query is to compress the logarithmic expression.

Q: x+3 Where is f(x) discontinuous? 2²+4x+3 О-3,—1 O -1 O -3 O f (x) is continuous everywhere

A: To determine the points where the given function is discontinuous.

Q: The point is on the terminal side of an angle in standard position. Find the exact values of the six…

A: pythagoras theorem hypotenuse=altitude2+base2 given altitude y=-4     here altitude is a side which…

Q: Identify the given differential equation as to the dependent variable, degree of equation, whether…

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Q: 12

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Q: he radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

A: Area of the circle , A =πr2, where 'r' is the radius of the circle.

Q: Find the limit. Show all work. Vx+5 -3 1. lim X- 4

A: We have to find the limit of given function

Q: Glven fx) dx = 9 and fx) dx = -4, evaluate the following. Exercise (a) Step 1 To evaluate the…

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Q: You are given a task to find a series expansion about x = 0 for a solution to (x – 1)y" – a²y' + y =…

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Q: Consider the series E (-1)"(3x+6)" . Find the series radius and interval of convergence, n=0

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Q: Evaluate the line integral, where C is the given curve. xy ds, C: x = t2, y = 2t, 0sts 3

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Q: 4 6 Find A-1, if A 2 4

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Q: Find 8 i8 Z = -12 ti2

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Q: Consider the function f(t) = 6 sec (t) – 6t°. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: Evaluate the definite integral (10x + + 3)dr

A: topic- definite integral

Q: There are some instances when an abbreviated form of the distance formula can be used. What is the…

A: Please see the below picture for detailed solution.

Q: 49 x dx -7

A: answer is in next step

Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: A) y=3x^2+3x B) y=(e3x+e-3x)/2 C) y=log5(tanx).

Q: Given the Demand Function D(p)= 275-4p^2 Find the Elasticity of Demand at a price of $5

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Q: Evaluate the integral sin(t)dt

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Q: Q2) Find the integral of: f*,6 tan*x dx

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Q: i=1 + 20b;)

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Q: How do you do optimization in calculus? List all steps

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Q: Which identity is most useful in evaluating sin² x dx? sin? x + cos? x = 1 cos 2x x = 1- 2sin? O…

A: The given integral,         ∫sin2x dx

Q: What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x? – 20x – 2 on…

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Q: dy

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Q: Evaluate the definite integral (12a² – 6x + 6)dx 3.

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Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: 8. True or False: If lim an = 0, then an converges. %3D n=0 (a) True (b) False

A: Solved below

Q: Three forces are simultaneously acting on an object. The first force is 1200 N downward, the second…

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Q: im

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Q: dy when x = 1 is dx If y = e-ª In x then A) 0 B) Does not exist D) = E) e

A: We have to find the dy/dx    at x  =1

Q: Fnd the average value of the function over the glven Interval. (Round your answer to three dedmal…

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Q: Suppose a certain baseball diamond is a square 90 feet on a side. The pitching rubber is located…

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Q: If f(x, y) = x cos y + ye", find the second-order derivatives %3D af a²f ах ду" and ar" dy ax'

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Q: THAnUNIVERS Q3) Find the integration: S- (x+1)/x2+2X

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Q: S2 2 sin?x cos5x dx =?

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Q: Express the series using sigma notation. -6m – 3m + 0 + 3m + 6m ...

A: Given -6m-3m+0+3m+6m...

Q: The displacement, s in feet, of a particle moving in a straight line is given by s = 5t2 – 6t + 14,…

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Q: 3 to dy 2 +Sinx COSX

A: Given query is to find the solution of the differential equation.

Q: Y1 = x? Y2 = x3

A: Given

Q: Consider the two series: 6n (a) > 5n + 39 n=1 1 (b) n2 In n n=1 Which of the following statements is…

A: Use roots test for checking the convergence  of the series .

Q: Test for convergence or divergence, using one of the tests listed below. 1 1 n + 5 n + 6 n = 1…

A: Given query is to find series converges or diverges

Q: Find the equation of y, glven the derlvative and the Indicated polnt on the curve. dy = 2x- 1 xp

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Q: What is the value of b in the following matrix equation? -3 11 a b O 26 +3 8 d 35 14 2 O 15 O 5 O 19…

A: Given query is to find the value of b.

Q: 2 3 To find the blue shaded area above, we would calculate: f(x)dx = area

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Q: 3. a) Determine the slope of the function, h(x) = 4sinx at x =". b) Find the slope of the line that…

A: We can solve as follows

Q: Prove the statement by mathematical induction. 3+5+7+…+(2n+1)=n(n+2) 1. Proposition is true…

A: The given statement,   3+5+7+....+2n+1=nn+2

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A: Given query is to find the solution of the differential equation.

Q: A curve in the plane is defined parametrically by the equations x = t +t and y t* + 2t2. An equation…

A: The equation of the tangent line is: y-y1=mx-x1 Where m is the slope of the tangent line. And The…