Let f(z) = J(+5)²+3 -2x+40 if a ≤1 if a>1

Q: Consider the function. f(x) = (1 + x)2/x Estimate the following by evaluating fat x-values near 0.…

A:

Q: The equation z² + y² - x = 0 represents a surface of revolution. Around which axis was the profile…

A: Surface of RevolutionIf the graph of a radius r is revolved about one of the coordinate axis then…

Q: Findl limit graphically. Use Sandwich theorem to confirm your answer lum ²Cos (12) X40

A:

Q: 2 Compute (In²x + 5x)dx CSC

A:

Q: Let C be the curve y = 5x³ for 0 ≤ x ≤ 1.2. 8- 7+ 6+ 5 4 3- 2 1 0.5 Q Find the surface area of…

A:

Q: IQ5] Solve the following of A- Change from cartesian (i) (ii) (1,√3,-2√3) to Cylindrical and…

A: Cartesian coordinates (1,√3, -2√3)x= 1y= √3z=-2√3

Q: Sketch the graph of f. Then identify the values of c for which lim f(x) exists. X→ C f(x) = 5.6 -…

A:

Q: (1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact car averaged $8000. In…

A:

Q: y' = (x - 1)(y-2), y(2) = 4

A:

Q: A company reimburses its sales representatives $200 per day for lodging and meals plus 40¢ per mile…

A:

Q: -7 The graph of y = -1x - 10 (enter the equation of the h has a horizontal asymptote with equation

A: y=−7−1x−10

Q: Consider the curve C parametrized by x = cos (8t) and y = sin (8t), for 0 ≤ t ≤ π/8 and traversed by…

A:

Q: ompany determines that monthly sales S(t), in thousands of dollars, after t months of marketing a…

A: Given:  s(t)=3t^3 - 50 t^2 +230t+180(a). Find; s'(t),s'(2),s'(3),s'(5)And…

Q: 2 Solve the following equation for x. 5x-8 7-4x 4 7 11

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Problem 4: A cylindrical tank contains 500 gallons of water. A plug is pulled from the bottom of the…

A: Using given model, we can solve all the parts.Note : According to our guidelines, we can answer only…

Q: A circular oil slick is expanding with radius, rin feet, at time t in hours given byr = 12t - 0.3t²,…

A:

Q: (a) Find the slope, m, of the tangent to the curve y = 4 + 5x2 - 2x3 at the point where x = a. m=…

A:

Q: Use the graph of f and g. p(x) = f(x)g(x) g(x) = f(x) g(x) 10 8 B 2 0 2 (a) Find p'(8). p'(8) = (b)…

A: Given: To Find:

Q: Using logarithmic differentiation, find the derivative of y 9 2x 3x² 0 x = 3 + 502² +13) +- 3³427 dy…

A:

Q: x²-3x + 7 (x² - 4x + 6)² dx

A:

Q: Suppose $500 is invested in an account at an annual interest rate of r = 8.2%, compounded…

A: Given, $500 invested in an account.interest rate=r= 8.2% time= 15yearsformula for compounding…

Q: In X x→∞ 1 + ln 3x 10. lim

A: Given that            .Since, we know that

Q: Which of the following statements about the function y = f(x) graphed here are true, and which are…

A:

Q: For the equation given below, evaluate y' at the point (1,1). at (1, 1) = (5x - y) + 2y³ = 258.

A: we do only first part of multiple questions. Please re post other parts.Given, we know,

Q: A 500 gallon tank initially contains 200 gallons of water in which 100 pounds of salt have been…

A: We have to find the amount of salt in the tank at the moment when the tank overflows.

Q: On a trip of d miles to another city, a truck driver's average speed was x miles per hour. On the…

A: The distance between the two cities = d milesThe average speed of the trip = Where  is time taken by…

Q: (1) Find the domain of the functions (a) f(x)=√2-5(x-1) (b) g(x) = log (10-x²-3x) by solving a…

A: The given function(a) (b)

Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

A: Given

Q: Consider the curve parametrized by x = t - 2 ln(t) and y = t + 2ln(t). dy a) Find dx dy da b) Find…

A:

Q: 8. Let f(x) = -x-2, g(x) = 4x + 1, h(x) = 2(x − 3) +1 (a) Evaluate h(-2) (b) Evaluate f(0) (c) Solve…

A: Since you have posted multiple sub-parts in the question, as per guidelines, we are supposed to…

Q: Find all points of intersection between the curves. r = v √3 cos (30) and r = sin (30). Enter your…

A: Given that:r= √3 cos(3θ)  and  r = sin(3θ).  Find all points of intersection between these curve.

Q: If f is a function having 2 8+ 6 4+ 2- 2 2 16 8 as its graph, which of the following could be the…

A:

Q: (c) 1 X - d.c dx ex

A: Let I=formula of integration by parts is

Q: Find the Vertical Asymptotes and the Horizontal Asymptotes. You cannot use your calculator or any…

A:

Q: Use analytic methods to evaluate the following limit. Enter DNE if the limit fails to exist, except…

A: We have given,   lim x -> - 1 (- 3x2 + 5x + 2)

Q: Avery leaves his house at 6:00 a.m. to go for a 6- mile run and returns to his house at 7:09 a.m.…

A:

Q: Find the derivative of the function using the definition of derivative. g'(u) = g(u): = u + 1 3u - 1…

A: To find the derivative of the function by using the definition of the derivative.To state the domain…

Q: For f(x)=2x²-x-4, find f(x +h)-f(x) h = f(x+h)-f(x) h

A:

Q: T 5. lim ex x →0

A:

Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that…

A: The function for the brightness of Cephei Joe at time t is given as

Q: The graph of y= 9x + 6 -6x +3 (enter the equation of the horizontal asymptote) has a horizontal…

A: Using concepts of limits, we can find horizontal asymptote.

Q: Let f(x) = ²+82 +12 Determine the values of a for which has a vertical asymptote. If multiple such…

A: we have to find the values of vertical asymptotes.

Q: Let f(x) = 9x 16+ x²

A: f(x)=−9x16+x2

Q: Consider the following function. f(x) = x = 7 Determine whether f(x) approaches ∞ or -∞ as x…

A: The given function .The aim is to find the limits  and .

Q: The graph of y= −5r — 9 52+2 (enter the equation of the horizontal asymptote) has a horizontal…

A: The asymptote defines a line which will never meet the curve of the function.A horizontal asymptote…

Q: Find the distance from the poinst (-5, 2, -3) to the az-plane.

A: To find the distance from a point to the xz-plane, we are using the formula for the distance between…

Q: 3 S √√2 V 3 2x 2 x-1 -dx

A:

Q: Write Equation of Surface of Revolution Write the equation of the surface of revolution formed by…

A: z=-4y-5

Q: (5) Alex plots the price per share of a stock that he owns as a function of time and finds that it…

A: S(t)= t(20-3t)+30We have to find average price of the stock over first five years

Q: y' = tan y, y(ln 2) = F|N

A: