Find the value of the following definite integrals. Show your solution. 1. L* + 4) dx 2. f(cos x + tan x) dx 3. x? + 2x +1)dx

Q: Q2: Solve the following integrals:- (2) fd 4x2-9 xp: (3)fx sin(x +1)dx

A:

Q: An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's…

A: The Multiplier Method of Lagrange We may need to maximize (minimize) a function that is constrained…

Q: Which substitution is needed to evaluate the integral S tan* x sec² x dx =? u = tan* x, du = sec? x…

A:

Q: Find the point where the tangent line to y = 5x at x = 0.5 crosses the x-axis.

A:

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x°, y = 1

A:

Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vik NOTE: Enter your answer in terms of i, j, and k.…

A:

Q: Find fr(x, y) and fy(x, y) given f(, y) = (csc y) Arcsin(x²). %3D

A:

Q: Use Disk Method only Find the volumes of the solids generated by revolving the regions bounded by…

A:

Q: Evaluate the following algebraically. csc? x lim 1 O 1 O -1 8. 8.

A:

Q: power series converges at a single a. what is the radius Of ConvergCnC (c) R=0

A:

Q: Use differentlals and the graph of f to approximate the following. (Round your answers to three…

A:

Q: Find the volumes oF the solids geverated by revolving +he regions bounded by the graphs oF the…

A: Given:-  the region bounded by  y=2x2y=0  and x=2rotating about the x-axisusing washer/disk method…

Q: Q2) Find the integral of: f*,6 tan*x dx

A:

Q: dy Find of sin x + cos y = ety. dx

A:

Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. b a = 15 and…

A:

Q: 2. y = e*cos (2x) is a solution to y'-bytoy=0 3X

A: 2.y=e3xcos2x is a solution to y''-6y'+13y=0

Q: Find the area of the region bounded by the curve y = 9- x2 and the x-axis. Answer:

A:

Q: Find the divergence of the vector field F at the given point. F(x, y, z) = xyzi + xz²j + 3yz²k; (2,…

A: This question is based on divergence of vector.

Q: You are given a task to find a series expansion about x = 0 for a solution to (x – 1)y" – a²y' + y =…

A:

Q: х- у 3. f(x, y, z) = y? + а. f(3, —1, 2) b. d. f(2, 2, 100) с.

A:

Q: 15 15-2 0

A:

Q: A. Identify the given differential equati. as to the dependent variable, degree of the equation,…

A:

Q: Evaluate the double integral SR Sf(r, 0) dA, and sketch the region 5. S V9 – r² dr d0

A:

Q: a) Determine the position function, s(t), of an object if the acceleration is a(t) = 5t , (3) = 0,…

A: We know that a= dvdt, v= dsdt In particular, when velocity is positive on an interval, we can find…

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

A:

Q: Szax -x2 EVALUATE THE FOLLOWING 1. cot x dx 4 sınx + cSC X 2. X sınx cosx dx S2) dx S cec'y dy 5. In…

A: We have to solve above integral

Q: Describe the graph of the equation. = 6 cos t i + 2 sin t j -k O Itis an ellipse in the z = -1…

A:

Q: у? — 4у — 21 Зу2 — 17у — 28 imy→7

A: Given query is to find the limit of the expression.

Q: What is an equation for the cosine graph shown below? 11 -10 -8/ -6 -5 .4 -3 -2 -1 -135 -90 -45 45…

A:

Q: 8 of 22 If č = (-3, –5) and d = (-2, –6), find |47 – 2.5d|. V74 O 8/6 O 7/5 146

A:

Q: 1 -dx is The value of

A: ∫ xn dx = xn+1n+1+C .

Q: 3- the solution for the following O.D.E y' = In(x) + tan (x) %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Match each point in polar coordinates with either A, B, C, or D on the graph. D

A:

Q: What is the instantaneous slope of y == at z = 5?

A: for the instantaneous  slope for a function f(x) at x=a we have to find f'(x) and then put x=a in…

Q: dx lim dx %3D

A:

Q: t*dt then If f(x) = 3 f'(x) =

A:

Q: 6. What is the general solution of the following differential a²ycdy d²y dx2 dy equation -5 +4y=0)(4…

A:

Q: e. An apple orchard now has 80 trees per hectare and the average yield is 400 apples per tree. For…

A:

Q: Find the limit. Show all work. Vx+5 -3 1. lim X- 4

A: We have to find the limit of given function

Q: 2- Sinx-y cos?x =.

A:

Q: Find the distance from A to C across the gorge illustrated in the figure. 130 ft The distance from A…

A:

Q: The displacement, s in feet, of a particle moving in a straight line is given by s = 5t2 – 6t + 14,…

A:

Q: Find the equation of y, glven the derlvative and the Indicated polnt on the curve. dy = 2x- 1 xp

A:

Q: Find V x (V × F) if F(x,y, z) = 8xyj+ 4xyz k. V × (V × F)

A:

Q: he radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

A: Area of the circle , A =πr2, where 'r' is the radius of the circle.

Q: sin(6x) lim ? 2+0 sin(2x) Does not exist O 3

A: Given problem:-

Q: Obtain the inverse transform of the following 2s-3 1. s2-9 10 (3s2+12) + (s²–25) 3s-2 3.…

A: As you have asked multiple questions so I have answered only first question as per the…

Q: The graph of the function f (2) = 2 arcsin(x – 4) +1, is best pictured by:

A: We will put the x values and get the f(x) values.