For what value of a is the following function continuous at every x? f(x) = x²-30, x<10 x≥ 10 ax, Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. a = OB. There is no solution.

Q: What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by…

A: Given

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A:

Q: 1 Let f(x)=8x³ - 15x²-2, x2 1.5. Find the value of at the point x = 2007 = f(7). df dx

A: f(x)=8x3−15x2−2,x≥1.5f(7)=20007=f−1(2000)Using the power Ruleddxxn=nxn−1

Q: 12x 8 °-x X ³/₂ dx 3

A:

Q: a. What is lim g(x)? Choose the correct answer below and, if necessary, fill in the answer box to…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: R'(x)= 0.03x2-0.08x+189

Q: 9. Calculus - Taylor Expansion If f(x) = 1/x, what is the leading coefficient of the 12th Taylor…

A: Where centered at .

Q: Using the graphs of f and g shown below, find the derviative of h(x) = f(x) + g(x) for the domain…

A: The two points on the graph of f(x) on the interval   are:The slope of the line is given by On the…

Q: Find a power series representation for the function. (Give your power series representation centered…

A:

Q: S (x² − 2) dx; n = 4 32.

A:

Q: For the following exercises, use the Mean Value Theorem and find all points 0 < c < 2 such that ƒ(2)…

A: The given function is,Take derivative.Substitute x=c

Q: (−1)n n²zn n! Consider the series (-1)” n=1

A: ∑n=1∞(−1)nn23nn!Ratio TestL=limn→∞|an+1an|Where an is the nth term of the series.If L&lt;1, the…

Q: Let (a) Evaluate det1B 2 by expanding by the second row. (b) Evaluate det1B 2 by expanding by the…

A:

Q: Find the sum of the series: n=0 x³n-2 n!

A:

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

A:

Q: 9. The angular displacement of a spinning shaft is given as = 0.7t² - 5t+3, where is in radians and…

A: Given that the angular displacement of spinning shaft is where  is in radians and t is in seconds

Q: SX7UPET dx

A: I=∫x7x4+1dxI=∫x4(x4+1)x3dxI=14∫x4(x4+1)4x3dxSubstitute x4+1=u

Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: A system of equations is inconsistent when it has no solution.that is no real numbers as variable…

Q: Let f(x) = f sin t² dt. Find f'(x) x² 2x 2x sin(x4) - 2 sin(4x²) sin(x4) — sin(4x²) 2x cos(x) - 2…

A: Let .To find .

Q: Find a simplified series representation of x²e4 answer = n

A: The given function is x2e4x.

Q: Find the limit of the sequence as n approaches infinity: 5n 3 5n+ 5 an - -

A:

Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: 2. S x³ +1 x³ - x² da dx

A:

Q: The formula for the braking distance of a car is: 0.03361 v² μl d= where: . d is the braking…

A: given that,and find the d value for the given velocities?

Q: 2 0 0 1 -2 1 0 4 -3

A: given matrix is ,

Q: Find the derivative of h (x) = csc¹ (x) Oh' (x) = -4 csc¹ (x) cot(x) ○ h' (x) = 4 csc¹ (x) cot² (x)…

A:

Q: Find the degree 3 Taylor polynomial T3(x) of function at a 4. T3(x) = f(x) = (3x + 69)5/4

A:

Q: 5.4-1+1/2 - 1/6 + 1 64 |

A: Given that the series we have to find check the series absolutely convergent, conditionally…

Q: This problem tests calculating new functions from old ones: From the table below calculate the…

A: The function values  are given in the table.The aim is to find the values of .

Q: 3. •x Soff x² sinzdzdydx Ᏻ

A: Use the Power Rule:Use the Constant Coefficient Rule:Use the common integrals:

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A:

Q: 1 The equation z = 1 3 3 x² + y² is given in Cartesian coordinates. Convert the equation to…

A:

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 8 cos 0+6…

A:

Q: If ſ²₁ f (x) dx = 3 and ²₁ g(x)dx = 8, find §²₁₂[4ƒ(x) — 2g(x)]dx -1 -1

A:

Q: 3. Two savings account start with $100 each. Account A earns $2 annually while account B earns 2%…

A:

Q: y=3in (2+x²)

A: y=3ln⁡(x2+2)dydx=ddx{3ln⁡(x2+2)}ddxln⁡x=1xChain Ruleddxf(g(x))=f′(g(x))g′(x)dydx=3x2+2ddx(x2+2)

Q: Let f(x) [0, 2π). = To enter , type Pi (with a capital P) sin x. Determine the x-value(s) where the…

A: The given function .The aim is to find the value of  in the interval  for which the function has…

Q: Find T5 (2): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = Using the…

A: We have to find the Taylor polynomial of cosx of degree 5. Then using the Taylor Remainder Theorem,…

Q: A company's marginal cost function is C'(x) = 686 - 4x +0.06x² where x is the number of units, i…

A:

Q: The Taylor series for f(x) = x³ at-4 is cn(x + 4)". Find the first few coefficients. Co= C1 = C2 -…

A:

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

A: The given marginal profit function , where  is the amount of cheese sold in hundreds of pounds.The…

Q: 9x Find the Maclaurin series of e 10

A:

Q: Use the formula f'(x) = lim Z-X f(x)=x²-x+4 f'(x) = f(z)-f(x) Z-X to find the derivative of the…

A: we need to find f'(x)

Q: Let h(z) -5+42-42³ 2² Determine the most general indefinite integral of h. I -5+42-423 22 dz P

A:

Q: The estimated change in area is m² (Type an exact answer, using as needed.) The estimated change in…

A: The radius of a circle is increasing from 9.00 to 9.09  mdr=9.09−9.00dr=0.09 mr=9 m

Q: At what points is the function y = X+5 - 8x + 15 x²- continuous? Describe the set of x-values where…

A:

Q: In Problems 1-8, find the eigenvalues and eigenvectors of given matrix. 1. 3. [2 7. 2 2 100 5. 002 0…

A:

Q: Perform the following operations and simplify the results. State the domain restriction in each…

A: The domain is the set of all possible input values  for a which function is defined.

Q: The figure below shows the graph of a function over the closed interval [-1,2] y = f(x) OU

A: As we can see from the graph, the function has a very sharp turn at x=0So at x=0, the function is…

Q: feet per second Preview c. From t = 1.11 tot 11.11 seconds... = feet per second Preview

A: Given that the formula d=9t-10 expresses a car's distancewe have to find the average speed of the…