1) Find the average value of the function f define by f(x)=√√√49-x²³² On the interval [0, 7] 2) Find the average value of the function f define by f(x)=√√√√√6-x² On the interval [-4,4]

Q: Consider a triangle ABC like the one below. Suppose that b= 19, a=31, and B= 27°. (The figure is not…

A:

Q: second derivative tests. =) has a relative Choose one Choose one maximum minimum at the point (?, ?)

A:

Q: Quiz 2.2- Integration by Substitution Evaluate the following and post your answers in the g.…

A:

Q: Use the given derivative to find all critical points of f, and at each critical point determine…

A: Given :

Q: "alse 1. The absolute extrema for a function f(x) will occur wherever f'(x) = 0 2. The rectangle…

A: Topic:- function

Q: xy³ dx + ex²dy = 0 x = 0; y = 1

A: The given differential equation is xy3 dx + ex2 dy =0,     x=0: y=1 we solve the differential…

Q: Verify Green's Theorem by evaluating both integrals for the given path. [x² αx + x² or = // (+1) ++)…

A:

Q: solve the differential equation in higher order differential equations complete solution PLEASE…

A:

Q: Solve the following Bernoulli's differential equations. 1. x²y' + 2xy-5y³ = 0

A:

Q: ex csex ex

A: Use integration by parts formula.

Q: s x3 √1-x² V dx

A: Given: I=∫x31-x2dx   ...1   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: The fixed overhead expense of a manufacturer of children’s toys is$400 per week, and other costs…

A: Let's find.

Q: x5 (2 – x²) 5 dx

A:

Q: Find the limit. lim (ti – 4 · 4 j + t² k) t→7 lim (t i − 4 j + t² k) = i 1→7 i+ i j+ i k

A:

Q: Determine whether the series is convergent or divergent. arctan 2n n = 1 O convergent O divergent If…

A:

Q: Find the length of the curve 3y = 2(x² + 1)2 from x = 0 to x = 3.

A:

Q: ∫(2 cos(x) − 7sinx(x))dx   Evaluate indefinite anti-differentiation

A:

Q: Find the derivative of f(x) = x²e² A. re* (æ+2) B. x² + 2x C. —xe* (æ+2) D. x²e - 2xe O U A B

A:

Q: The function f(x) = − 6x³ – 29.07x² + 433.242x – 5. is increasing on the open interval ( It is…

A:

Q: 2 30 مر ول 2 + 6 +

A: In this question we have to solve the Integration.

Q: The marginal revenue of the xth box of flash cards sold is 300e-0.005x dollars per box. Find the…

A:

Q: Question 9 In MN = In M + ln N Maybe False True None of these

A:

Q: 6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F…

A: This is a problem related to vector calculus. based on the general formula of green's theorem we…

Q: Find the arc length of the graph of NOTE: Enter the exact answer. L || r(t) = √²ti + e-√²tj + 2tk,…

A:

Q: Find the equation of the tangent line to the graph of f(x) = x³e-* at a = 0.

A:

Q: Find the extreme values of on [-2,2]. f(x) = ret, x < 0 2x³9x² - 12x, x ≥ 0

A: Solution of given question is written in below steps.

Q: Write an equation of the form y= a sin bx or y= a cos bx to describe the graph below. 'y 3 AA x -2 4…

A:

Q: Find the differential dy: y = In (sec² (3ª²–2x+5)).

A:

Q: The Smith's borrow $45,000 to purchase a new home. They finance the amount through a 25-yr mortgage…

A: Given problems:- 1. The Smith's borrow $45.000 to purchase a new home. They finance the amount…

Q: f[in (w) ² ] ^ 4 3 dw

A: ∫lnω24ωdω=∫2lnω4ωdω=∫16ln4ωωdω=16∫ln4ωωdω Substitute u=lnω⇒dudω=1ω⇒dω=ωdu; 16∫ln4ωωdω=16∫u4du…

Q: Solve the differential equation y' =a'y subject to the condition that y = e when x = 0. Preview

A: Y(x)=?

Q: Let f(x) = 5 on [−3, 1]. x+5 Find all numbers c in [-3, 1] for which the derivative is equal to the…

A: We are given a function f(x) = 2/(x+5) on [-3, 1].   We have to find all the c in [-3, 1] such that…

Q: r₁(t) = 9ti + 4t²j + 3t³k, r₂(t) = t¹k d # [r₁(t) · r₂(t)] = = dt d dt [r₁(t) × r₂(t)] = r(t) x

A:

Q: 1. fx² In x dx = f x² dx f In x dx (In x − 1) + C Is the solution correct? If your answer is yes,…

A: We have to give reason and then solve the integration .

Q: lim (i-8j+² k) 4 lim (r 1-8j+² k) = 1+ 16

A: We have to find the limit

Q: The outer diameter of a spherical tank measures 6 feet. If the tank is made with a material % inches…

A: Given problem:- The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

A:

Q: Find dy for the given values of x and dx. y = x3 - 4x2 + 2x + 1; x = 8, dx = -0.3 O-37 O 39 O-39 O…

A:

Q: Find the exact area under the graph of f(x)=1 between r=0 and r = 2. Area =

A:

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: Given,            fx=5x2-20x+ with domain 0,3

Q: - A first order Bernoulli's differential equation is in the form

A: To find first order bernoulli 's differential equation is in what form.

Q: define gradient of a function.

A: The gradient of a function f(x,y) in two dimension is defined as:

Q: Sa cos 2X (2 cos 2X -1) dx

A: Given,            ∫cos2x2cos22x-1dx

Q: List the first four terms of the SEQUENCE {3n+1}n=1* Find the limit of the sequence or determine…

A: The given sequence is 2n/(3n+1)

Q: Verify Green's Theorem by evaluating both integrals ƏN [ 1² dx + 2² dy - [ ] (™N - OM) a dA ax ду…

A:

Q: f(x)=e*; at (0,1)

A:

Q: 'ind the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled…

A:

Q: A cylindrical can, open at the top, is to hold 300 cm³ of liquid. Find the height, h, and the…

A:

Q: Let S be the surface with equation given on the image. a) Write the equation of the traces of S on…

A: