Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it lim (1-4x)¹/x X10

Q: For y = f(x) = x¹0 - 10x, and 0 ≤ x ≤ 2, find the following.

A:

Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand automobile tires…

A: given total profit P(x)=-x3+9x2+120x-400, x≥5

Q: Consider the function f(x) F(1) = 0. Then F(x) = = x3 -7/(2x^2) - 1/(x^4) 5 x7 Let F(x) be the…

A:

Q: A graphing calculator is recommended. Compare the rates of growth of the functions f(x) = 3x and…

A: When drawn graph on Desmos graphing tool shown below  on [-4,4] by [0,20] F(x)=3^x G(x)=x⁴ so option…

Q: Suppose that the quarterly profit from the sale of Kisses and Kreams is given by P(x, y) = 42x +…

A:

Q: 1. Find the open intervals where the function is increasing and the intervals where the function is…

A: f(x)=x3-5x2+8x  We have to dind interval of increasing or decreasing of f(x) Also find relative…

Q: Please solve and show all work and steps. Please make sure the answers are visible. √1-2² sin ¹r. 1…

A: y= (√(1-x2)).sin-1x We have to find y'

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A:

Q: x3 If f(x) = ª -3 f'(x) = t²dt then

A:

Q: Consider the following. x = 2 cos(8), y = sec²(0), 0≤ 0 <1 T 050< (a) Eliminate the parameter to…

A: In first question  We have  to find cartesian equation of given trigonometric form of equation    In…

Q: Express the function in the form fogoh. (Use non-identity functions for f, g, and h.) H(x) = √7 +…

A: To solve the following

Q: Evaluate the integral. | (-12u³ – 2u du - L

A:

Q: 2 The demand equation for a certain product is 5p² +4q² = 1700, where p is the price per unit in…

A:

Q: b. Does the sequence an n converge or diverge? Justi

A:

Q: 50 -40 30 -20 10 2 3 4 5 6 8 9 10 11 Use the Fundamental Theorem of Calculus to find the area under…

A:

Q: uate the iterated integral 114 cos(³)drdu

A:

Q: Use the table of integrals, or a computer or calculator with symbolic integration capabilities, to…

A:

Q: Find the partial fraction decomposition for the following rational expression. B с D 3y³ +22y²…

A: ∫3y3+22y2+59y+88y+52y+12

Q: Find the domain of f(x)= 6x-5 (x-5)² OxRx+√√5} O xlxe,x=-5} O xxER,x*-5,5} O xxER,x+5}

A:

Q: Calculate the definite integral. 2 0 2 0 7e - 5x 7e - 5x dx = dx (Type (Type an exact answ

A:

Q: Find the velocity and acceleration vectors and the equation of the tangent line for the curve r(t) =…

A: We have to find the velocity, acceleration vectors and tangent equation.

Q: A 75-meter long rope is to be cut into 3 pieces in the ratio 4:5:6. How long is the longest piece?

A: Ratio of the number a:b:c  Then we consider the number are  ax,bx and cx

Q: Find an approximation of the area of the region R under the graph of f by computing the Riemann sum…

A: Graph :-

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A:

Q: Find all horizontal and vertical asymptotes of the function √16x² + 1 x² f(x)= x²16 x +4

A: f(x) = [√(16x^2+1) x2]/[(x2-16)(x+4)].

Q: Given that sin(20)? sin0 = = 1 0<0<= /₁ 3 and 2, what is the value of

A: given sin(θ)=13 and 0&lt;θ&lt;π2

Q: A couple received a $129,000 inheritance the year they turned 51 and invested it in a fund that…

A: Given  Investment= $129,000 Deferred Time = 11 years Rate= 7.3%

Q: 1. Hyperbolic Functions. Prove the identity coshx-sinh x = e-*

A: Coshx = ( ex+e-x)/2 Sinhx = ( ex-e-x)/2

Q: Do Homework - Section 3.10 - Profile 1 - Microsoft Edge…

A:

Q: Q4 A cylinder shaped box has a fixed volume of 87. Find the radius of the base and the height of the…

A:

Q: T Calculate the velocity and acceleration vectors for the helix c(t) = (7 cos(t), 7 sin(t), 4t) at t…

A:

Q: For each n the interval [2, 8] is divided into n subintervals [ri-1, 2] of equal length Az, and a…

A: The answer is in step 2.

Q: Answer the following questions concerning_ƒ(x) = 6x² +66 x + 60. 1. What is the total area between…

A: f(x)=6x2+66x+60

Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) =…

A:

Q: If a sequence C1, C₂, C3, ... has limit K then the sequence e¹,e,e,... has limit e*. Use this fact…

A:

Q: True or false? 8.5 = (8-5) O True O False

A: 8·5n=8·5n

Q: Find the mass of the lamina described by the inequalities, given that its density is p(x, y) = x 0 ≤…

A:

Q: . Find the limit if it exists, otherwise explain why it does not exist: Do not use L'Hôpital's Rule…

A:

Q: 2. Find the derivative of y in each case. (a) y = sin³x + cos³x

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 2. curves. a f(x) and g(x) are graphed below. Set up the integral that would find the shaded area…

A:

Q: Find the area of the portion of the paraboloid x = 10-y² - z² that lies above the ring 1 < y² + z²…

A:

Q: et R be the region in the first quadrant bounded by the graph of y = 2 tan (3), the line y = 5-z,…

A:

Q: Suppose f(x) is continuous and positive for all c. Moreover, suppose f'(x) is positive for all x.…

A:

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F=…

A:

Q: Evaluate the integral ² I = (4+ 6y-y²) dy.

A: I=∫034+6y-y2dy

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 2x3/2…

A:

Q: · (-²)* +7 has the ---Select-- asymptote y = The exponential function f(x) = · ( ² )* + · This means…

A: NOTE: Refresh your page if you can't see any equations. . the given function is an exponential…

Q: Set up a double integral that represents the area of the surface given by z = f(x, y) that lies…

A:

Q: QUESTION 16 Change the order of integration and evaluate the integral. 7/2 7/2 6 cos q Į Į Į 9772…

A:

Q: Does the improper intergral converge? If so, what is it's value?

A: