8. lim X118 et te et - e -X

Q: 14. Practice with limits. a. If 2x - 2 ≤ f(x) ≤ x² - 2x + 2 for x ≥ 0, find lim f(x). X→2 b. Find…

A:

Q: Let f(x) = 9x² and g(x)=9√√x. Find each composite function and describe the domain of the resulting…

A: Let the function are  and

Q: (1) Use integration by parts to evaluate the following integrals. (a) [2x0e³ 2xe³x dx

A:

Q: -2pi Find a formula for the graph of the function y = f(x) given in the figure above. Y 6 8 2pi

A: We have to find a formula for the graph of the function y = f(x) given in the figure.

Q: Find the equation for the plane through the points Po(3, -4,2), Qo(-5,0,− 3), and Rō (0, – 4, — 5).…

A:

Q: Find the equation of the line passing through (1,-4) and parallel to the line passing through the…

A:

Q: Use the graph of f' to identify the critical numbers of f, identify the open intervals on which f is…

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: Find the derivative of the algebraic function H(v) = (v5-3)(v++3). Select one: H'(v) = 9v8…

A: Given Algebraic Function

Q: Use the graph of the function f to state the value of each limit, if it exists. (If an answer does…

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: Write the equations of all asymptotes for each rational function. Use limits! 1. f(x) = 3x²-1 x-2 2.…

A:

Q: (2) The population of the world in 1995 was about 5.7 billion, and the estimated relative growth…

A: The population of the world in 1995 5.7 billionThe growth rate is 2% per yearThe aim is to find the…

Q: Given the series: Σ[142] k + does this series converge or diverge? O diverges O converges If the…

A:

Q: (i) lim x-2 √1+ 4x - 3 2 x

A:

Q: A force of 5 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A:

Q: Use the graph of h(x) shown below to evaluate lim h(x), if possible. If the limit does not exist,…

A:

Q: Find the distance from the point (0,0,−9) to the line x = t, y = - 3t, and z = t. The distance is…

A:

Q: Rewrite the following Cartesian equation as a polar equation using the variables r and 0. To input…

A:

Q: 8x5 = 10 12 4 6. DeMarius' original design for his car used rear wheels with a radius of 12 inches.…

A:

Q: y= 3x-2 2x+3 y"=0

A:

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

A: Let I=formula of integration by parts is

Q: 3. d² dx² (c₁ cos kx + c₂ sin kx): =

A: According to bartleby guidelines , We do the first one of multiple questions

Q: A. The y-intercept of f(x) is and that of f¹(x) is (Type integers or simplified fractions.) B. The…

A: Since inverse of the function has been calculated.Therefore, for both the parts option (B) is not…

Q: Find the area A that is bounded by the curve r = 4 cos (0) and lies in the sector - < 0 < 4. ㅠ 6

A:

Q: Find the gradient of the function at the given point. f(x, y) = 3x + 4y² + 2, (3, 1) Vf(3, 1) = = X

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: Suppose a water tank is to be constructed by rotating the parabola y = ² about the y-axis from x=0…

A: Find the volume of the  water tank rotated about y axis

Q: In Problems 7-12, match each of the given differential equations with one or more of these…

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: Evaluate 22 1 JS = sin x cos X 0 y y X dA.

A:

Q: Solve for inequality and graph 7t-5>5t-4

A: Given inequality 7t-5&gt;5t-4We have to solve it and graph it.

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: 27.1-EXAMPLE 3-con 25 +²5³) = 100 (c) lim 3+ x-0

A: Here we will solve it by putting x=0 simply

Q: Use the graph of f(x) shown below to determine each of the following limits. If any of the limits do…

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A: given curve We know that area of surface obtained by rotating y=f(x) from x=a to x=b  about x-axis…

Q: (2) Let f(x) = -3 sin (r +). (c) And then determine the domain and range of f(x).

A:

Q: Find the points at which the following function is discontinuous. -3x² - 5 5x²133 _5r2 _ 1 f(x) =…

A:

Q: (a) By graphing the function F(X) = (cos of lim f(x). x →0 (b) Check your answer in part (a) by…

A: Use a graphing tool to find the imit value as x approaches  0 and then find the value of limit by…

Q: Find two positive angles and two negative angles that are coterminal with 610°

A: For finding the positive coterminal angle , add in the given angle For finding the negative…

Q: lim X-00 tan¹ (x) =

A:

Q: (1) [xe5x-2 dx (h) [ cos x In (sin x) dx

A:

Q: Find the area A enclosed by the curve r = 4 + 2 sin(0)

A: The area enclosed by a polar curve is given by the formula:

Q: Recall 1. Showing all your work, find the equation of the line with slope m = -4 that passes through…

A: “Since you have posted multiple questions with multiple sub-parts, we will provide the solution only…

Q: x=a a = -3 a=-1 1. Complete the table. Is f continuous at x = a? ГУЛ 1 0 1 AR X If it is not, which…

A: We have to check continuity of the given graph at a= -3 and -1

Q: Find cos if is in quadrant I and tan = √35 35

A:

Q: 20 15 10 5 0 5 10 15 20 гттттттт a = b = -10 C = -5 y 5 10 2 2 2 (²) ² − ( ² ) ² − ( ² ) ² = a 20 15…

A:

Q: e^(lnx+ln5) simplify the following expression

A: e^(lnx+ln5)

Q: Solve the absolute value inequality. 6x-3| B. 6x-3-15 c. <6x-3<

A: We have to solve the absolute value inequality…

Q: The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an hourly…

A:

Q: The height of a bottle rocket, in meters, is given by h(t) = −3t² +47t + 600, where t is measured in…

A:

Q: When an object is dropped on a certain earth-like planet, the distance it falls in t seconds,…

A: The function is a)At t= 3 second