Compute • d da - [In(1+x)²].

Q: A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the…

A: In this question we have to find how many gallons of each brand of antifreeze must be used.

Q: Calculate the iterated integral. 1 / 1 ["'f's Jo Jo 5 √s + t ds dt

A: Given,           ∫01∫015s+tdsdtTo find : Calculate the iterated integral

Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: question 15 help!! You are driving a car away from home. Your velocity (miles per hour) t hours…

A:

Q: Given a vector v with initial point P(22, -21) and terminal point Q(-38, 23), write the vector in…

A:

Q: how long would it take 20,000 to double if it earned 6.25 percent interest and was compounded…

A: Topic:- application of algebra

Q: (a) Find parametric equations for the line through (3, 1, 8) that is perpendicular to the plane x -…

A: For xy-plane, z=0. For yz-plane, x=0. For xz-plane, y=0.

Q: The function f is defined by f(x) x²-3x. Using a limit definition of the derivative, find f'(x).

A:

Q: Solve the intial value problem for the given separable differential equation y'(x)=ycosx , y(0)=3

A:

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: As we know that the estimate distance covered by projectile between time a to time b is  hL+R2…

Q: A curve with polar equation r represents a line. This line has a Cartesian equation of the form y =…

A:

Q: Inverse laplace 1/(2s^2+4s+20)

A:

Q: Find the slope of the line tangent to the following polar curves at the given points.

A: According to question,Given Polar curve,r2 = 4 cos 2θ

Q: Express the limit as a definite integral on the given interval LC lim Exi In(2 + x?) Δx, [0,1] i=1…

A: Please see the below answer.

Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for T.…

A:

Q: etch the region enclosed by y = 3x and y = 5x². Find the area of the region.

A: Topic:- application of integration

Q: f(x)=xe^-x How can you use limits to decide which of the two factor functions in f(x) dominates as…

A:

Q: Find the general solution of (y^2 – xy)dx + x^2dy = 0.

A: Given differential equation (y2–xy)dx+x2dy=0(y2–xy)dx = -x2dydydx = (y2–xy)-x2dydx = ( xy - y2 )x2

Q: Q3 Find all Solutions to 4-7x+11=20 Зеч- following:

A: Solve by logarithmic

Q: Evaluate the double integral for the function f(x, y) and the given region R. (Give your answer…

A: Evaluate double integral

Q: Solve the problem. 15) Water is falling on a surface, wetting a circular area that is expanding at a…

A:

Q: Evaluate the integral. 29) Sx8(x9-9)4 dx

A: we know that   ∫xndx=xn+1n+1+cdxndx=nxn-1

Q: Which of the limits is equivalent to the following definite integral? Se e² dr Choose 1 answer: B…

A: To determine the limits which is equivalent to the following definite integral.∫03ex dx

Q: Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for…

A: Given, Position of the particle P is given by yt=4t2-5t+7 The position of the particle Q is given by…

Q: Rewrite sin (a x + 11T 7) in terms of sina and cos x. Simplify your answer. 6 Enclose arguments of…

A: As we know that; The trigonometric identities: 1). sina+b=sinacosb+cosasinb 2). sinπ2-x=cosx 3).…

Q: 1. 4× 22 || Decenas 4 x 22 = 4x decenas + || || Unidades + unidades) (_________ decenas) +…

A:

Q: Could I have this handwritten I cant tell what the work means

A:

Q: Find a plane containing the point (1,3,-6) and the line of intersection of the planes 8x - 8y- 5z =…

A:

Q: f(x, y) = 3 sin(7xy) and g(x, y, z) = √121 – x² - y² – z². Find the following function values

A: Given functions:- fx,y=3sin7xy gx,y,z=121-x2-y2-z2

Q: Find the area of the region bounded by: = 6 cos (60) 0 ≤ 0 ≤ 2π r =

A: To find the area of the region bounded by given polar curve

Q: 10. Find the area of one petal of the polar rose r = sin(40) as pictured below. 5A6 Kve 4TH 2 3m/2…

A:

Q: (14) y = Tan¹ (3); dy =? ax A) 15) 4+x² E) y= B) - 2√4-X² x²+4 Sec²(X); dy = ? Jx Tanx √4x² D) +…

A: To solve the problem we use derivatives properties and trigonometric properties.

Q: Suppose that a particle moves along a straight line with velocity v(t)=10−6t, where 0≤t≤1.5 (in…

A:

Q: Given the following vectors, calculate −8u+7v U=(-8,5),V=(8,3)

A: Given query is to find indicated vector.

Q: For the following exponential situation, create a model in the form y=a⋅bt.  t  y  2 15 4 75 a =…

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A:

Q: Use implicit differentiation to find dy/dx. 14) xy + x = 2

A:

Q: Find the area of the shaded region. - 4x (3,15) 3

A:

Q: equation, find  dy/dx  evaluated at the given values. x2y + y2x = 0  at  x = −4, y =

A: Given query is to find derivative.

Q: Evaluate the double integral for the function f(x, y) and the given region R. f(x, y) = 5x + 6y; R…

A: Double integral

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A: Given that y varies inversely as the cube root of x.

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

A: To develop the equation of parabola.

Q: 1. Find the integral of f(x) = √2x+3 over [-1,1], using Riemann sums with n=4 and the midpoint of…

A:

Q: Determine the area of the region bounded by f(x)=√x and g(x) = x/2 on the interval [0,16]. Area =

A: The curves are given as , fx=x , gx=x2 Determine the area of the bounded region on 0,16.

Q: A chain 180 meters long hangs over the edge of a building that is 180 meters tall. The chain weighs…

A: Given:  A Building of height 180m.  The rope with weight of 25N per meter.  The water bucket with…

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. y -4 A Find the…

A:

Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

A:

Q: Let theta be an angle between vectors u = i + 4j, and v = -2i + j. What is Cos theta? What is sine…

A:

Q: Given u = (-2,-3,0) and v= (1, 2, 1), (a) Find 3u + 2v (b) Find 13u + 2v| (c) Find the unit vector…

A:

Q: Given f''(x)=−36sin(6x and f'(0)=6 and f(0)=6   Find f(π/5)=

A: