2 (sin x cos x + x) + C - 2 (sin x cos x + x) + C (sin x cos x + x) + C -(sin x cos x + x) + C [(cos x)² dx

Q: 1 √1/₂ y+4 y² + y dy felt +2e²t

A: The given integral is a (y+4)/(y2+y).

Q: A particle moves along a line with a velocity v(t) = 1² + 2t - 8, measured in meters per second.…

A: Given thatvelocity vt=t2+2t-8To find : The total distance the partical travels from t=0 to t=3…

Q: Suppose that F(x) = f(g(x)), where ƒ(2) = 3, g(2) = 5, g' (2) = 4, ƒ' (2) = -2, and ƒ' (5) = 11.…

A:

Q: A plant can manufacture 50 golf clubs per day at a total daily cost of $5149 and 70 golf clubs per…

A:

Q: ach function, determine whether it is a polynomial function. Function (a) v(x) = 8x³ +0.9x² (b) u(x)…

A:

Q: Which of the following functions is not continuous on (-∞0,00)? Py = |x-1| ° y = y = 1- O y = 1+²²…

A: Functions are given, we have to find the function that is not continuous on -∞,∞

Q: Which of the following answer choices represents the limit definition of the definite integral below…

A: Solution of given question is written in below steps.

Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = x²i+…

A:

Q: r(t) = (-2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 (-sin (2t), cos (3t), t ln…

A:

Q: Find the limit (if it exists) of the sequence (x_n) where x_n = sqrt(3n+2)-sqrt(n).

A: Here, the given sequence is: {xn} where xn=3n+2-n

Q: To evaluate the integral 3 100 + x² -dx, which of the following substitution shou be used? Select…

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: This question can be solved using the concept of point of inflection.

Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constant: (s) to discont Ta n…

A: for limit to be exists we have the following conditionslimx→2-f(x)=limx→2+f(x)

Q: Given a continuous function of which is twice differentiable, if f" (c) > 0, which of the following…

A:

Q: Find the 4th degree Taylor Series Polynomial for the function f(x) = ex centered at c=3.

A: The function f(x)=ex centered at c=3

Q: EXAMPLE 4 If an object moves in a straight line with position function s= f(t), then the average…

A:

Q: Find the determinant of the matrix by reducing A to a triangular matrix. A = -1 2 3 1 1 2 1

A:

Q: Find a potential function f for the field F. F = (4y + 5z)i + (4x + 3z)j + (5x+3y)k A general…

A:

Q: f(x)=1/(1-2x); 1.09-1

A:

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: Find d dx d dx 0.8 0.8 √x -3.4x -3.4x2+6x + 6x

A:

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: A function F(x) has a given value F(0) = -3. A graph of the derivative F'(x) is given below. What is…

A:

Q: Find lim lim h-0 h→0 f(6+h)-f(6) h f(6+h)-f(6) h if f(x)=x² +4. (Simplify your answer.)

A:

Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use for the…

A:

Q: tim п-х 2 (n-3₂²)

A: Given;  limn-infinity (n-3n2).

Q: Find an integrating factor and solve the equation 4x y' = e¹x + 8y - 1.

A: Solution of given question is written in below steps.

Q: A rectangle has an area of 133 cm² and a perimeter of 52 cm. What are its dimensions? Its length is…

A:

Q: 21. a. e x = sec sin z sin z) (e sin b. Ve Cos 2sinz 1 U e sin z COS d. cos x √1-e2sinz

A:

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A:

Q: Evaluate the integral using the indicated trigonometric substitution Select the correct answer. 9 1…

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)² +…

A:

Q: Let f(x) (1) (ƒ + g)(x) = = - 9x + 8, g(x) = x - 1, find the following: (2) (ƒ − g)(x) = - (4) (3)…

A: To find the value of given function and their domains.

Q: Find the solution of the equation correct to four decimal places. e1+ 4x = 160

A:

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 4y2 + 8,    (2, 1) ∇f(2, 1) =

A: We have to find the gradient of the function  f(x, y) = 2x+4y2+8  at the point (2, 1).

Q: Graph the trigonometric function. 5 y=- cos2x 2 Plot all points corresponding to x-intercepts,…

A: Please see the below picture for detailed solution.

Q: Use a graphing utility to graph the polar equation. Between the loops of r = 3(1 + 2 sin(0)) 4 6 4 0…

A:

Q: lim (x,y)→(0,0) lim (x,y)→(0,0) 7x²+4y 4y 49x²-98xy+49y² 7x-7y

A:

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A:

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: From the given graph, we discuss about the discontinuous points and its types

Q: Using double integration ,calculate the volume of the solid bounded by the surfaces given by x2 + y2…

A:

Q: (iv) Find the average value of f over the given rectangle. f(x, y) = e³√√x+e", R = [0, 4] × [0, 1].…

A:

Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = = [₁²₁ F(x) = In (61-3) dt

A: Solution :Leibniz integral formula.ddx∫gxhxftdt=h'xfhx-g'xfgxFx=∫6xln6t-3dtF'x=dxdxln6x-3-d6dxln66-3

Q: Find the total area of the shaded region. Ay 24- 22 20 18 16 14 12 10 8 Q C The total area of the…

A:

Q: Find the average value of f(x) = 8√√x-73x over the interval [0, 2]. Submit an exact answer using…

A:

Q: 1. Consider the region bounded by y=cos x, the x-axis, and the y-axis. What is the volume of the…

A:

Q: Let f(x) = 4x² + 4, g(x) = √-7-x, find the following: (1) (ƒ + g)(x) = (2) (f- g)(x) = (3) (fg)(x) =…

A: Note: as per guidelines we support only 3 subparts of the questions.kindly repost next questions in…

Q: 8W!! n=1 elect the correct choice below and, if necessary, fill in the answer box to complete your…

A: We have to find out the convergence test

Q: Find the indicated quantities for f(x) = 2x². (A) The slope of the secant line through the points…

A:

Q: 2 the integra 5.° 0 2e sin 0 de using

A: The given integral is 2e-thetasin(theta) , mlimit from 0 to infinity.