e cosx sin x dx 1-e2 cosx

Q: Select the best answer. (2e + 1)= lim (tan(x))- O DNE O -00

A: We have to find out limit

Q: Suppose that w = f(r, s, t), where r = r(x, y), s = s(r, y), and t = t(x, y). Which of the following…

A: Solution is given below:

Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

A:

Q: Find the area bounded by y = x + 4 and y = x² - 2. Answer:

A:

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: Use the finite difference method to solve the system of equation given by: y'"' + 2y" + y' + y = x²…

A: Given :y'''+2y''+y'+y=x2                                   (i)y(0)=0.2, y(1)=0.8 & y(2)=0.2We…

Q: 1. Rules of LDef nite Integrals: 12 a) b) rpx 12 12 f(x)dr 4, find the If f(z)dr = 12, " $(z)dz = 6…

A:

Q: 8 tan¬1 n 1 + n² 00

A:

Q: Evaluate the definite integral by the limit definition. Step 1 To find the definite integral 9 dy by…

A:

Q: 4. x(x² – 1)² dx

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

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

A:

Q: . Evaluate the double integral S, S f(r, 8) dA, and sketch the region R. 5. S/² s V9 – r² dr d®

A: Let's find.

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

A:

Q: roduct directly and then by applying the formulas dr dr r(t) and dt dr, dr x ). dt Fi(t) - cos(t)i +…

A: To differentiate.

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

A:

Q: r(t) = 4 cos(7t)i+4sin(7t)j+3tk

A:

Q: 18 of 20 Find the equation of the tangent line to the curve y = Vx+2 at the point (2, 2). y = 금z + 2…

A:

Q: Use the chain rule to find and , where as z = x² + xy + y, x = 6s + 9t, y = 5s + 8t %D First the…

A:

Q: Factor the expression. Use the fundamental identities to simplify, if necessary. (There is more than…

A: Given problem:- Factor the expression 1-2cos2(x)+cos4(x)

Q: Show that the function f defined by 1, (x, y) = (1, – 1) f (x, y) : .2 x + y (x, y) # (1, – 1) x + y…

A:

Q: Fnd the average value of the function over the glven Interval. (Round your answer to three dedmal…

A:

Q: 10) Eind the eçuation of the plane Contaihins the two vectors 2and ,and the point PU2ー)

A:

Q: Determine the largest interval that pλ must lie in to approximate p with a relative error of at most…

A: 3. Determine the largest interval that pλ must lie in to approximate p with a relative error of at…

Q: At a seaport, the depth of the water during the day can be found using the equation h = 6.0 cos (…

A:

Q: Consider the following equations. f(y) = y(7 – y) g(y) = -y Sketch and shade the region bounded by…

A:

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

A:

Q: 15 of 20 -722 –8x =? limz→00 3–72²+6x+6 O Does not exist O 00 O 7

A:

Q: 2. A garden lot is bounded by the curves y = x and y = 9. If its area is in square meters and it…

A:

Q: Question 3 Suppose C=0, so that 2y 24y 5x3 = 0. Find all points (x,y) at which the tangent line to…

A:

Q: Use the given function value and the trigonometric identities to find the exact value of each…

A:

Q: D. Find The or mogonal traectory of the family f aurves y=

A:

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let rr…

A: Given ,  A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: Which identity is most useful in evaluating sin² x dx? sin? x + cos? x = 1 cos 2x x = 1- 2sin? O…

A: The given integral,         ∫sin2x dx

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f() = 2x + 3 between x =…

A: Our Aim is to find the "area under curve"of f(x)=2x+3 between x=11 and x=13using the Fundamental…

Q: e product (4 8 10 9)(2 7 6 11)(1 35 12)

A:

Q: 2x 3x Evaluate the given limit of lim + if it exists. I – 1 I +1

A: Follow the procedure given below.

Q: 3. a) Determine the slope of the function, h(x) = 4sinx at x =". b) Find the slope of the line that…

A: We can solve as follows

Q: Find curl(6z i + 7x j+ 6y k). curl(6z i+ 7x j+ 6y k) = ( i )i + ( i )j +(i )k

A:

Q: Problem No. 1: Evaluate - dx using basic substitution method.

A: First I have used the substitution to make integral easy and then evaluate it.

Q: 7. Given that tan (A) = and angle A is in 3rd quadrant and cos(B) = – - and %3D 13 angle B is in 2th…

A:

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: 11 a) Use the rational root theorem to find the possible rational roots of 12.r -8r-3T+2=0 b) List…

A:

Q: Suppose that f(z, y) = z*y°. The directional derivative of f(1, y) in the directional ( – 1, – 2)…

A: We can solve this as follows:

Q: O y= xe 2y = e"co{ 2x) is a solutiòn to yl-Gy!+13y=D0 is a solution to yll-2y'ty =0. 3X %3D

A: we have to verify the solution.

Q: Q1) Determine if the following integrals converge or diverge. If the integral converges determine…

A: Please refer to the image below

Q: x-1 dx (x+1)5(x-3)5

A:

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: Solve for y in the following system of equations: x – y = -7 2x + y = -17 -8 О -1 O -3 O O

A:

Q: For x = t3 + 2, y = 3 – t, give an equation in terms of x and y.

A:

Q: Find the slope of the tangent line to the parametric equations: x = 3t2 - 3, y = 2t + 1 at t = 1. %D…

A: