Find the following antiderivatives: 2 In²(x²) √= 1.) x + x ln(x²) dx

Q: The curves F1(t) = (2t, t², - 2t5) and F2(t) = (sin(2t), sin(- 4t), t - ) intersect at the origin.…

A: To find the angle between the intersection of the given vectors.

Q: Find the angle of inclination of the tangent to the curve of the follow: y = 16x² at x = 2.

A:

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

A:

Q: 1. Let b, c, d be real numbers, and let a be a nonzero real number. Consider the function f: R → R…

A:

Q: Test the series for convergence or divergence using the Alternating Series Test. Identify b Σ…

A:

Q: Determine the area of the region bounded by y = (x-4)e5x² - 40x and y = 0 on the interval [0,8].…

A:

Q: 7. Suppose you want to use 1020 feet of fencing to enclose a rectangular plot of land. The fencing…

A:

Q: 6. Consider the function f(x) = e¹/x. (a) What is the domain of f(x)? (b) Find all vertical…

A: By drawing a graph of y=e^1/x  We can clearly see

Q: Solve the following differential equation. 2xy - 9x² + (2y + x² +1) dy dr = 0

A: We know that exact differential equation is M(x,y)dx + N(x,y)dy = 0. If differential equations is…

Q: A lottery game has players selecting 5 numbers at random from the numbers 1-65. The state picks 20…

A: Please see the below picture for detailed solution.

Q: 2. √ In x da; u = lnx, dv=√x dx và u= do

A: The given integration is: ∫xlnx dx To find the value of integration.

Q: In the right traingle in the figure below, if cos A = the triangle has what length? 2 , and the side…

A: we know that cos(x)=basehypotenuse

Q: Q1 -/m 3 SoNe |3x+1|-4=1

A:

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: f(x) -4 -3 -2 10+ 8+ 6+ 4. 2 1 2 3 X Approximate the area between f(x) and the x-axis from x = -4 to…

A:

Q: Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for…

A: Given: y'(t)= (y-2)(3+y)

Q: (a) Use a graphing utility to graph f(x) = x - 4x + 2 on the interval [-2,2] and approximate any…

A:

Q: Suppose you are driving away from Morgantown. At noon, you are 75 miles away from Morgantown. From…

A:

Q: 8. √(T-2) 0 - x) сos лx dx

A:

Q: If the vector u has magnitude 2 and direction 320° (relative to the positive x-axis), what is the…

A:

Q: Given the vector u = (2√3, —2), find the magnitude and direction of u. Provide your answer below: U…

A:

Q: Consider y = ln (²). Compute.

A: The given data is: y=lnx2 To compute y'.

Q: Find all the antiderivatives of the function f(x) = -6.

A: ∫xndx=xn+1n+1+cgiven  f(x)=-6

Q: You have a solution of water, salt and sugar consisting of 75% water, 15% salt and 10% sugar by…

A:

Q: question 30 Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) = x^2 The area (rounded…

A: Given functions fx=37-x2,gx=x2

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: For the equation given below, evaluate y' at the point (2, –1). y'at (2, -1) = e³ + 10 − e¯¹ = 2x² +…

A: To find derivative of the given function.

Q: Do the following. (a) Determine the linearization of f(x) = ln x about the number e. (b) Using your…

A:

Q: If x>1, pick the expression below which always decreases as x increases 1 x==²=22 X a) x.

A: Given : x > 1    in only option C , x is in denominator . Therefore as x increases , 1/(x+1)…

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: 1 7 6. 5 4 3 2 1 -1 --3- -4 -6 The graph above shows the base of an object. Compute the exact value…

A:

Q: True or False: Consider y = (x − 1)(1 − x). 1 If I use logarithmic differentiation to find y, the…

A:

Q: 4 Find the equation of each graph after the given transformation. a y = 3x² after a stretch parallel…

A: Let's find equation of each graph after the given transformation.

Q: 2. Find the tangent line at the given point c(t) = (4t, In (t)); t = 1

A:

Q: Given f(x, y) fz(x, y) = fy(x, y) · = fzz(x, y) = | fzy(x, y) = 2x³ 3x²y² + y^, find

A:

Q: a(t) = t2 −4t + 6 , s(0) = 0 , s(1) = 20

A:

Q: Find the area of the region of r= √2 + sin(theta) and r= 3sin(theta)

A:

Q: f f(x) = V x + 1 , for x 2 -1, then for y 2 -1, fy2 + 2 y ) y + V2x+ 1 ) 1 - وكاد 1 ) V2x+y2

A: f(x)=x+1for f(y2+2y)  put x=y2+2y in f(x)

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 derivative. 8 1 sin x cot x 12) y =

A:

Q: A curve is given S₁73 dx = ...? xy parametrically by = 3t + 1, y = 4t².

A: Given,            A curve is given parametrically by x=3t+1 , y=4t2.To find : ∫47xyt3dx

Q: 3. Find the area under the parametric curve c(t) = (t³,t²-1) for 1 ≤ t ≤ 5.

A: Use area formula in parametric form

Q: [ sin(lnx) x dx

A:

Q: Find the area of the shaded region. 30) f(x) = -x3 + x² + 16x g(x) = 4x -4 (-3,-12) -2 30- 20- 10…

A:

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

A: Evaluate double integral

Q: The velocity of a particle traveling along a straight line is given by v(t) = 2(t² – 2t − 3) for 2 ≤…

A: INTRODUCTION:  The indefinite integral is typically carried out in troubles concerning distance,…

Q: In z [122 10. -da dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method…

Q: 3. 4. What is the angle in degrees? A. 30° B. 45° What is the complement of 45°? A. 45° B. 55° C.…

A:

Q: Find f'(X) given that F(x) = ∫x2 sqrt(2+e^(3t))(5)/(lnt^(2))dt

A: To find f'(X).

Q: 5. The function f(x) is a continuous, decreasing function on [0,10] with a critical point at (4,2).…

A: