ya -8x + 16 7.

Q: Find the limit using l'Hôpital's Rule. Enter an exact numeric value. lim 2-0 tan (3x) I Number

A: Given lim x→0tan( 3x )xput x =0 tan00= 00hence L hospital rule is applicable

Q: Given the function graphed below, evaluate the definite integrals. 4+ 3 2 1 -1 -1 -2 -3 -4 1 [² =…

A: We have to evaluate the definite integrals with the given limits.

Q: fx(2x + 5)³ dx

A:

Q: Consider the function f(x) = x¹ − 72x² +6, -5≤x≤ 13. x4 Find the absolute minimum value of this…

A: Solve

Q: sosyos!! ¤¤¹0 dzdxdy 1+x² 1

A:

Q: Find the total area of the shaded regions. y=x149+x² 35+ 28- 21- 14- -10-8-6-4-2 14- 21- 28- -35- y…

A: To find the total area of the shaded regions.

Q: Find the general solution of the linear nonhomogeneous recurrence relation an = 3an-1 + 10an-2 +…

A: To solve the following nonlinear recurrence relation

Q: If the work required to stretch a spring 1 ft beyond its natural length is 12 ft-lb, how much work…

A:

Q: An aerial photograph from a U-2 spy plane is taken of a building suspected of housing photograph is…

A:

Q: 9. Determine whether the following series converge or diverge: a) En=ne-2n b) In (₁) 2n+1

A: Given series:- ∑n=1∞lnn2n+1

Q: Find the polar coordinates, 0 ≤0 < 2x and r20, of the following points given in Cartesian…

A: Given cartesian coordinate:- 2,2 -43,4 -2,-23

Q: ticle's velocity and acceleration vectors at time t = 0. & gives the position of a particle in space…

A: given equation is  r(t)=6(1+t)32i+6(1-t)32j+9tknow r'(t)=6ddt1+t32i+6ddt1-t32j+9ddttk…

Q: Suppose you know lim an 11-> 00 0100 What do you know about the convergence or divergence of the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 5x³-4x² + 3x 2 x² Find the most general antiderivative of the function: ƒ(x)=-

A:

Q: 9. Consider a function g(x) such that 19(1) df9(1) g(t)dt = 7 and g(t)dt = 9. What is (a) 3 (b) 4…

A:

Q: Find the sum of the intercepts of tangent line to the curve y = x² + 6x-10 at x = 12 -2258/15…

A: To find the sum of the intercepts of the tangent

Q: Find the distance from the point (-7,-8,5) to the line ä(t) =(2, 5, 3)t + (-1, 3, 4).

A:

Q: Q6: Please answer all the parts to this question, and show all work clearly with legible hand…

A:

Q: (2) Σ n=1 (b) Σ n=0 (0) Σ n=1 (3x - 2)² η 3ηχη n! 3.5.7....(2n+1)+1 η2 . 2η

A: Find the radius of convergence and interval of convergence of the series.

Q: Consider the differential equation dt The smallest equilibrium solution is x = The middle…

A: The Solution is given below:

Q: plify the following expression using laws of set theory (AUB)U(AUB)

A:

Q: Write the equation of a parabola whose directrix is y=−11 and has a focus at (9,-3).

A:

Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = ex/8…

A: Given, f(x)=ex/8, from x=0 to x=8

Q: Evaluate •W₂** e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder x² + y² =…

A:

Q: For the function, find the indicated expressions. f(x) = x5 In(x) (a) Find f'(x). f'(x) = (b) Find…

A:

Q: Give A = a -2 0 b 3 -2 -1 3 d L-5 4 AxB = -8 6, B = 5 1 0 -1 2 41 3 9 2 21 -11 31. Find all missing…

A: To find the missing values.

Q: Find the function f with f'(x) = cosx-x³, f(n)=3.

A:

Q: 3. The series n=2 n² +1 3n³-√n-1 (a) is Absolutely Convergent (b) is Conditionally Convergent, but…

A: Solve the following

Q: Consider the following function. f(t) = e 0-1²

A:

Q: wrong answer

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is

Q: dx So 5x + 1 5x+1

A: ∫0315x+1dxLet u=5x+1.=∫11615udu=15·∫1161udu=15lnu116=15· 4ln2=45ln2

Q: For y = 7 sin(2x - ), πT 6 ts amplitude is ts period is ts phase shift is

A: For the function, y=7 sin2x-π6, to determine its amplitude, period andphase shift.

Q: One hour after a dose of a milligrams of a drug Predamestane is administered to a person, the change…

A:

Q: Question For the point plotted on the polar graph below, which of following is a correct set of two…

A: For the point plotted on the graph below, to determine the set of two polar coordinates for the…

Q: Find the critical point and the interval on which the given function is increasing or decreasing,…

A: To determine the critical points and the interval of increase or decrease

Q: A yeast culture is growing at a rate of W' (t) = 0.2e0.08t grams per hour. Find the area between the…

A: Answer is in step 2.

Q: 8) Estimate ₂x¹dx using the average of a left-hand and right-hand Riemann sum with n = 5. You can…

A:

Q: 1) Suppose the function f(x) is continuous everywhere it is defined and that the domain f }. [Read,…

A:

Q: Evaluate the following integral: [²91²+71+4d²

A: Given integral: I=∫-229t2+7t+4dt Formulas: ∫xndx=xn+1n+1∫Kfxdx=K∫fxdx

Q: lim (x,y) →(0,0) 5x4 y x² + y²

A: According to question,Given Limit,limx,y→0,05x94yx3 + y4

Q: Consider the power series given by Find the centre of the series and the radius of convergence. the…

A:

Q: For the curve determine each of the following: Note: Use a negative for a shift to the left. y =…

A:

Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A:

Q: Let a, h, and k be arbitrary real numbers with a and let f be the function given by the rule f(x) =…

A: Given Equation:- f(x)=a(x-h)2+k

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: 2 √2x-x² S² So 0 ܘܢ x² dy dx 2 X +y²

A: To evaluate the given definite integral.

Q: Use a definite integral to find the area under the curve between the given x-values. 1 f(x) = X from…

A:

Q: Find the volume of the solid bounded below by the circular paraboloid z = 2² + y² and above by the…

A: We can find the volume .

Q: 51 6. 2) The time it takes to drive to Top High School is normally distributed with a mean of 17…

A:

Q: Price-Supply Equation The number of bicycle. helmets a retail chain is willing to sell per week at a…

A: We will find the required.