Q: Find the extreme values of on [-2,2]. f(x) = Sre™, x 0
A:
Q: Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the…
A: According to guidelines, we must answer only three of the multipart questions given. Please…
Q: 10. Consider the system of equations X, - 2x, + 3x, = 1 2х, — Зх, — 2х, 3 3 X, - x, - 5x, = 2 a.…
A:
Q: Find the derivative of the function. f(x) = (5x + 7)³ (06² +00) ² f1(x)
A:
Q: What is the number halfway between 3 - 1/3 and 2 + 5/7 ?
A: Average
Q: Find an equation for the tangent line to the curve parametrized by x = 4t y = est at the point t =…
A:
Q: Determine the area to the left of g(y) = 3-y2 and to the right of x = -1
A: Area
Q: Find the limits. If you use L'Hopitals Rule, make sure to justify why you can use it. 1- cos(2r) lim
A:
Q: An employee invests £1000 at the end of each month into her Pension Fund for 30 years. What is the…
A:
Q: The integral of the given function csc °x dx is equal to 3cos x-10stn²x cos>x-15sin"xcosx + C…
A: I=∫ csc6x dx =∫ (cot2x+1)2 csc2x dxu=cot xdu=-csc2x dx=∫ -(u2+1)2 du =∫(-u4-2u2-1) du…
Q: Given the equation below, find dy dr 39x² + 9x52y + y² = 49 d.x Now, find the equation of the…
A: topic - derivative and equation of tangent line
Q: The curve r(0) = cos(60) is sketched below for 0 ≤0 ≤ 2π. Determine the exact area enclosed by one…
A:
Q: Chain rule and implicit differentiation Suppose that F(r, y, 2) = 0 defines z as a function of z and…
A:
Q: Determine the integral of sec^4 (x) tan^2 (x) dx * O 1/7 sec^7 (x) - 1/5 sec^5 (x) + C 1/3 tan^3 (x)…
A:
Q: 구. ( 34 Cxtd) ax An 14 X? (X-1)
A:
Q: Verify the formula F.n dS div FdV in the Divergence Theorem by evaluating the surface integral and…
A:
Q: Given the v-t diagram, determine the acceleration in ft/s^2 and distance covered in feet at 12s.…
A: These are the following points , we have to go through first The area under the v-t graph is the…
Q: 10. Using the graph below of the function f(x), identify the approximate interval(s) where the first…
A: Given that,
Q: √(x + 3) dx √16-x²
A: Solution
Q: X : Let f(x) be a function defined by f(x) = 1
A:
Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +9 1 lim tto 9t2 + 10' 7t |(?,?)
A:
Q: Find a power series solution around xo = 0 for y" – xy = 0
A:
Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x²…
A:
Q: dy 1. Find for the following: dr :b. y sin y = ry
A:
Q: Fred the fick partiel dervatives of he Amikinan = Oce /2 ニ for fy f2
A: Explanation of the answer is as follows
Q: d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…
A:
Q: Q7. A savings account has £25,000 invested for 4 years @ the rate of 6%. What is the value of the…
A:
Q: Find T(t) and N(t) at the given point. r(t) = 4 cos(t)i + 4 sin(t)j; t = 3 r() - () V3 1 T .3 2 2…
A:
Q: Find an equation of the tangent line to the given curve at specified point. (1, 1/4).
A:
Q: Evaluate each of the following definite integrals 4 |x- 3| dx (x2 - х) dx х2 +x+1
A:
Q: A parametric curve is given by the equations: x (t) = 3 – t, y (t) = 2t, 0 <t < 3. After eliminating…
A: The given parametric curve is x(t) = 3-t, y(t) =2t, 0≤t≤3 Here, parameter is t. We have to…
Q: After using Pythagorean identities to solve the integral of (sinx)^5*(cosx)^5, the next step would…
A: The given integral is; I=∫sinx5cosx5dx We know that the Pythagoreans identity; sin2θ+cos2θ=1 The…
Q: Q8/ A tank contains 100 gal of fresh water. A solution containing 1 lb/gal of soluble lawn…
A:
Q: H.W: which series converge and which diverge, and if a series converge find its sum: 1. E(zr n+1 3…
A:
Q: Find the indefınite integral and check the result by differentiation. Find the antiderivative whose…
A:
Q: 16. r=8sin ㅇ
A:
Q: dy dr a. r+y = 8 Find for the following=
A: As per our guidelines we only solve one question and rest of the question will be reposted.
Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x²…
A:
Q: Power Reducing Formulas
A:
Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…
A: This is a problem related to vector calculus. Based on the green's theorem we will answer the…
Q: Calculate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…
A: Given; I=∫4xsin4xdx ....1 As we know that; ddxax=axlna∫sinxdx=-cosx+C And ∫a·fxdx=a·∫fxdx, where…
Q: Determine a, and as for each arithmetic sequence. See Examples 3 and 4. 29,. 24. -3, -7, -11,... 25.…
A: Since, the student has mentioned to solve only question number 24, so we are solving accordingly…
Q: Calculate the integral. (Use symbolic notation and fractions where needed.) e4x dx %3D - In 2 1 +…
A:
Q: Let T: R - R be a linear transformation such that T(1, 1, 1) = (4, 0, -1), T(0, -1, 2) = (-5, 4,…
A:
Q: 2. Use local linear approximation to estimate (31.62). Th
A:
Q: 2x + 3 x 1
A:
Q: Sorry im running out of questions
A:
Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…
A:
Q: Find the centroid of the region bounded by the set of curves y = 2x? + 10 ,y = 4x + 16 ,x =-2,and x…
A: Given
Q: what is the domain and range of f(x, y, z) = x + ln y + cos z (please explain)
A: The given function is:f(x, y, z) = x +lny +cos z x is defined for all real numbers. So The domain of…
PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric equations given.
Step by step
Solved in 3 steps with 2 images
- Calculate the time for 10 per cent of the sites on a (100) tungsten surface with a bec unit cell and a lattice constant of 316 pm to be covered with nitrogen at 298K when the pressure is 2 x 10 mmHg and the sticking probability is 0.55determine by inspection at least twosolutions of the given first-order IV .15. y- 3y2/3, y(0) 016. xy- 2y, y(0) 0A manufacturing company has been experimenting with a new additive that is used to reduce polluting effluents from its production facility. Test results suggest that if no additive is used, pollution levels are 3000 parts per million (ppm). For each pound of additive used per week, pollution levels are reduced by 0.49 ppm. The additive costs $30 per pound. The reason for experimenting with the additive is that a government agency is conducting weekly air quality tests in the vicinity of the production facility. Regulations state that if pollution levels exceed 2000 ppm, a fine is imposed. The fine is $1000 for each ppm by which the pollution level exceeds the 2000 ppm limit. If the company has budgeted $80,000 per week to spend on the additive and any pollution fines, how much additive should be purchased each week for use by the company? What is the resulting amount that the company is willing to pay in terms of weekly fines?
- create 2 sample word problems of chain rule of integration with solutionsIn an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1 for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.)Determine the AV at time 9 of $100 invested at time 4 given the accumulation function a(t)=0.05t2+1.