prove that lim √x = √a x→a

Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

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Q: Using the first three terms of the Taylor series of z = = f(x,y) about (a, b), we can write f(x,y) –…

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A: For a scalar potential U(r) , we can define the corresponding field as follows:Where  operator.

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A: Given that,         Since, is a posiitve and decreasing sequence. Therefore, the intergral test can…

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Q: Using the change of base formula, g₁15=?

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Q: The formula A=740 = 740,000/(1+0.05)/(4 represents continuously compounded interest O True O False

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A: The federal budget is  trillion dollars.We have to find the amount of money in the given portions.

Q: An equation of the line tangent to the graph of x)=x(1-2x)3 at the point (1,-1) is: y=-7x+6 y = - 6x…

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Q: C) Find the area of triangle PQR. Give your answer in the form k√17 where k is an integer.

A: We have point Q(1,0,6) and R(17,4,-22). From part a , P(11,-5,-4).

Q: : Using Lagrange multipliers method find the extreme point of the following function

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Q: y = e²x + 5 (In 3, 14) (In 27,0) x Figure 1 Figure 1 shows the curve y = e²x + 5 and line I which…

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Q: The number of bacteria N, in a culture is modeled by the exponential growth model, N(t) =…

A: The number of bacteria N in a culture is modeled by the exponential growth model, N(t) = 300e0.025t,…

Q: Find the equation for an exponential function that passes through the pair of points given below.…

A: Solving the problem by finding the coefficient 'a' and base 'b'

Q: Book Problem 11 Find the volume of the solid obtained by rotating the region bounded by the curves:…

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Q: Estimate the area under the graph of the function f(x) x = -2 to x = midpoints. = √x + 4 from 2…

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Q: A glass has circular cross sections that taper (linearly) from a radius of 5 cm at the top of the…

A: Given that ,

Q: Determine the particular solution of the given differential equation: find a solution of the…

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other…

Q: y = e²x + 5 (In 3, 14) (In 27,0) x LIN Figure 1 Figure 1 shows the curve y = e²x + 5 and line 1…

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Q: The cost function for a certain commodity is C(q) = 85 +0.12q-0.005q² +0.0007q³. (a) Find C'(100).…

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Q: nsformación de coordenadas rectangulares a esféricas. (x, y, z)➡➡➡➡ (p.0,$) quelva:

A: We transfer the rectangular coordinate into spherical coordinate.

Q: Sketch the graph of the basic function having the indicated restricted domain. f(x)=x² for x < 2…

A: Given :y=x2

Q: Find the Maclaurin series of X 8 mer 6 n=0

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Q: Find a fundamental x²(10 x²+x+5)y" set of Frobenius solutions of the differential equation + x(48 x²…

A: To find a fundamental set of Frobenius solutions for the given differential equation, we'll assume a…

Q: Natural Sciences Engineering Social Sciences Education 1990 70 10 60 30 1995 130 40 110 50 2000 330…

A: NaturalSciencesEngineeringSocialSciencesEducation199070106030199513040110502000330130280120200549037…

Q: Find dy/dx and d²y/dx2, and find the slope and concavity (if possible) at the given value of the…

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Q: Consider the differential equation 1 dy 1 x dx x³, x > 0. What do we need to multiply this equation…

A: NOTE: Refresh your page if you can't see any equations..compare this equation with so here we have

Q: The cost of renting tuxes for the Choral Society's formal is $27 down, plus $87 per tux. Express the…

A: NOTE: Refresh your page if you can't see any equations..The cost of renting tuxes for the Choral…

Q: Given the series: k=0 8. 3 11 k does this series converge or diverge? Odiverges converges If the…

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Q: 6. 1,1,1>, find the volume of the parallelepiped defined by the given vectors: , and w=

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Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

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Q: Find a vector v in space that has the magnitude ||v|| cos(a) > 0, cos(p) = 1, COS(7) = 11100 V8 =…

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Q: the midpoint of line segment with end points (-1,6,2) and (3, 2, -4) What is the distance between B…

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Q: Consider the integral t+1 1 √1-t² Select the option that gives the integral obtained by using the…

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Q: Identify the graph of the inverse function of f, if it exists. -8-6-4 N6400 8 4- 2- LAN -2 -4 y -6…

A: A graph of the function is given.We have to sketch the graph of an inverse function.

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: An object is moving along a horizontal path shown in the graph. 5+ 4 3 2 -N 1 نان -2 -3+ تنط 4 -5 Y…

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Q: Review View Help E24 ¶ Paragraph 1. f(x)=2x+1 a. f(x+h) b. f(x+h)-f(x) These two problems are from…

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Q: 1. Find f cos (√x)dx

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Q: (c) What is the profit function? P(x) = (d) Compute the profit (loss) corresponding to production…

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Q: Write an inequlity comparing n²-2 n5 +2 (Express numbers in exact form. Use symbolic notation and…

A: The given quantities  and .We have to write the inequality that compares the given quantities.

Q: Find the area of the region bounded to the right by X = y². ਸ 543-2-1 2 3 4 5 O 4.5 4 3.75 O co/co…

A: Form the integral and solve to get the area.

Q: ymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to…

A: Given that the costs is , C(x) = 2,750 + 5x + 0.1x2    (0 ≤ x ≤ 500)Also given that Gymnast Clothing…

Q: The second term of a geometric series is, and the fifth term is 32. The product of the sum of the…

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Q: Find the rules for the composite functions fo g and 8x² + 9x + 4; g(x) = x + 7 fog = f(x) =

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Q: Which of the following curves exhibits modified exponential decay, has a y of 110 when tis 0, and…

A: Find the exponential decay function , has a y of 110 when t is 0 , and approaches the value y= 30 as…

Q: example Lim X-70 W. Inx UX

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Q: y In(sin(x)); -≤x≤ 4 = | N 2

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Q: Find the rules for the composite functions f o g and g o f. 1 X-5 fog = gof= f(x)=√x + 5; g(x) =

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