The average cost for a company to produce x units of a product is given by the function A(x)= average cost as production goes from 100 units to 101 units. 19x + 400 X Use A'(x) to estimate the change in

Q: Evaluate the following limits. If needed, enter inf for X and -inf lim √x²+6x 3-6x X→∞ √r²+6x A/ A/

A:

Q: (

A:

Q: d- lim x+1/(2x²+x+1)¹/² x →∞0 e-lim4|x+2/(x+2) X-→-2

A:

Q: Consider the following. F(x) = 2x - y 3.0 2.5 2.0 1.5 1.0 0.5 1,2 3 y=2x-² 1 2 3 4 5 +x 6 (a) Write…

A:

Q: 13-Prove that a.b= la+bl²- la-bl²/4

A: a. b=[ la+bl2- la-bl2]/4Prove.

Q: 1- Evaluate the limit. a-Limx²-4/(x²-x-2) X-2 c- lim {3x-5 X-→8 b- lim [(x+20)¹/2 +25] /x+5 x →5 x<8…

A: We meed to find limit

Q: If f(2)= -1 and f(5) = 10 for some continuous f(x), implies that there must be some c on the…

A:

Q: f(x) centered at the given value of a. [Assume that f 9 s of convergence R.

A:

Q: Math 110 Course Resources - Applications of Definite Integrals Course Packet on income streams and…

A: Given present value pv=$11000Rate of intrest r=7% compounded annuallyTime n=15As we know that…

Q: Find all solutions of the equation 2 cos 3x = 1 in the interval [0, 7). The answer is ₁ = , x₂ =…

A:

Q: 9. xe xa dx

A:

Q: Evaluate the following limits. If needed, enter inf for X and -inf for If entering decimals…

A: The given limits  and The aim is to calculate the given limits.

Q: At what point on the curve x = 6t² + 3, y = t³ - 2 does the tangent line have slope? (x, y). Need…

A:

Q: Find a unit vector in the direction in which f(x, y) = 47 - 3x² - 3y² decreases most rapidly at…

A: given

Q: x-2 Identify any vertical asymptote(s) of the following function: f(x) = x2-4x+4 Use the paperclip…

A:

Q: 1 Solve sin(50) = for in the interval [0, 2π) for the first four solutions only. 2 Enter your anwers…

A: Given trigonometric Equation

Q: Determine the area of the region bounded by f(x) = -5x + 31 and g(x) = 3x - 17 on the interval…

A: Let two functions f( x ) anf g( x ) then Area of region bounded from a to b is given as

Q: Evaluate the following limits. If needed, enter inf for and -inf for lim X 3 + 2 lim 3 2 x→ 37x 9-6x…

A:

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A: The given function is f(x)=7xFind the maclaurin series and radius of convergence.

Q: # 42.) A watermelon has an ellipsoidal shape with major axis 30 cms in length, minor axis of 24 cms,…

A:

Q: The vertical side of a form for poured concrete that weighs 140.7 pounds per cubic foot is shown in…

A:

Q: 7- Points A (2,4), B (0,0) and c (-2,1) define a triangle in a plane. Find angle ABC to the nearest…

A:

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: The given function isf(x)=x³+4x²+4x-9

Q: Answer the following questions about the function whose derivative is given below. a. What are the…

A: Given derivative function is

Q: The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to ✓…

A: The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to

Q: Mat-380   Your Turn 24" on p.358 of Mathematics for the Secondary Teacher. mat-380 Your Turn 24.…

A: A quadratic equation is of the form that may have real roots or complex roots.Here,  are…

Q: Let Ln denote the left-endpoint sum using n subintervals and let Rn denote the corresponding…

A: Left end sum :

Q: 00 n0 1 V7Y"

A:

Q: A deposit of $3,750 in a bank paying 4% interest compounded continuously will grow to V(t) =…

A: Average value of function in the interval  is given as

Q: The revenue in dollars from the sale of x units of a product is represented by the following…

A:

Q: Evaluate using integration by parts. І 0 5xe4x dx

A: The given definite integral .The aim is to calculate the integral value.

Q: 3 Consider the function f(x) = x³ + 4 and the point (1, 5). (a) Find the slope of the tangent to the…

A:

Q: 5. Determine whether the vector field is conservative on the region. If so, determine a potential…

A:

Q: 1. Write a proof for each of the following limits (Show your scratchwork before starting with the…

A:

Q: Solve 2 sin²(w) + 3 sin(w) + 1 = 0 for all solutions 0 ≤ w < 2π W=

A:

Q: Find the total area enclosed by the cardioid r = 9-cos shown in the following figure: &

A: To find the total area that is enclosed by the cardioid .

Q: (2) y = x + 2x − 3 จาก x = 0 ถึง x = 3 X (Ans. 3 ตารางหน่วย)

A: To find the area under the curve  and the -axis from  to .

Q: Functions h and g are graphed. y=h(x) y y = g(x) 4+ 4+ 3 34 whit 2+ -3-2-1-1 1 2 3 Find_lim h(g(x)).…

A:

Q: Find the directional derivative of f(x, y) = direction of Q(4, −3). 10x x+y at P(5,0) in the

A:

Q: Find Duf at P. f(x, y, z) = 6x³y³z³; P(2, — 2, 2); u = Duf = i + - 2|3 k

A:

Q: Suppose the daily supply equation for noise cancelling wireless headphones is given by P = S(x) = 70…

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it (your…

A:

Q: Find a unit vector in the direction in which f(x, y, z) = 4x³z² + 4y³z + 2562 - 5 increases most…

A:

Q: If the price charged for a bolt is p cents, then x thousand bolts will be sold in a certain hardware…

A:

Q: √3 Determine the first four solutions, in the interval [0, 2π), of the equation sin(20) = 2 Enter…

A:

Q: The monthly demand function for x units of a product sold by a monopoly is p = 6,800 -² dollars, and…

A:

Q: Is it possible convergence to find a power series whose interval of is [0, ∞)? Explain.

A: The aim is to check whether it is possible to find a power series whose interval of convergence is .

Q: Let F(u, v) = eu+v, u = x6, v = 7xy. Use the Chain Rule to calculate the partial derivative. (Use…

A:

Q: Suppose a population of fruit flies is introduced to a diesease and decreases at a rate of 15% in…

A: Suppose a population of fruit flies is introduced to a diesease and decreases at a rate of 15% in…

Q: Find the area of r=e^(-θ/12) between π and π/2.

A: