What is the value of the definite integral 61 +2 dt?

Q: Object Height. Suppose an object is thrown straight up from the ground. The height after t seconds…

A:

Q: Can you solve the system of equations  dx/dy = [ 15   - 18 ]             [   12  -15  ] when it…

A: Solution:  Given that

Q: Complete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx u = du = dx

A:

Q: e-2 h(x) 1 + e(3x² + 8) %D is e-2(-2)(1 + e(3x2 + 8)-e(3x² + 8)(6x)(e=2) O h'(x) = (1 + e' e(3x2 +…

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

Q: 4y² – 2² = 1

A:

Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: As per guidelines, I can answer maximum three subparts of a question. Since you have asked for…

Q: Question A vertical cylinder is leaking water at a rate of 5 m /sec. If the cylinder has a height of…

A:

Q: The area of an equilateral triangle is decreasing at a rate of 3 cm^2/min. Find the rate (in…

A: We want to find the rate (in centimeters per minute) at which the length of a side is decreasing…

Q: 14 Approximate (x - 4) dx using 4 rectangles. It is approximatley (If necessary, round to two…

A:

Q: Let ā = (– 1, 4) and b = (4, 5). Find the projection of b onto ä. proją b > Next Question

A: answer is in next step

Q: If f(x) = (3x² – 8) (5x + 4), find: f'(1) =

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: pherical coordinates to evaluate the triple integral a2 + y? + z? dV, where E is the ball: x² + y? +…

A:

Q: Derivative. The derivative of e-3 h(x) e(3x2 + 13) 4 + is none of the other answers e-3(-3)(4 +…

A:

Q: 7. The raidus of a circle is equal to 4m and is measured with an error of ±0.5m. Use differentials…

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: If 0≤θ<2π and 4cos^2θ+3=7, determine the values of θ.

A:

Q: Determine the general equation of the plane 2 passing through the point P(-1,4, 5) and parallel to…

A: Follow the procedure given below.

Q: Vn Find the area between f(x) = x- 16 and the x-axis from x 0 to x 9. The area is square units.…

A:

Q: Use the second derivative to determine the intervals on which the given function is concave up and…

A:

Q: A. Examine the function for relative extrema and saddle points 1. f(х, у) 3 х2 - ху — у? — 3х — у

A:

Q: A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

A:

Q: Use the definition of the Laplace transform to compute L[f(t)]. For each, state the domain of…

A: Solve the following

Q: show that the 2x2-y2=C is a solution to yy'-2x=0.

A:

Q: Find the average value of the function over the given interval. f(x) =13–x² on [-3,3]

A:

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). f(C) = - (x + 1) (x² + 1) (3x² –…

A:

Q: If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

A: Given problem:- If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)).   f(g(x)) =   g(f(x)) =

Q: Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral — 2х dx with n = 4…

A:

Q: Find the unit vector e, if i = ( – 2, 2) ey =

A:

Q: find the amplitude , period , phase shift and midline if y = 8 sin (7pi/6 x + 7pi/2 ) +6

A: Given query is to find amplitude , period , phase shift and midline if  y = 8 sin (7pi/6 x + 7pi/2 )…

Q: Question 57 Find the coordinates of the point on the unit circle at an angle of . Give your answer…

A: r=1  (unit circle)θ=5π3x=r cosθx=cosθy=r sinθy=sinθ

Q: (d) Find the range of f(x). O (-3,4] O [-3,3] O [-3,1) U (1,4] O [-3,4] O (-3,2) U (2,4] O [-3,2) U…

A: From the given graph we can see that the value of f(x) are varying between -3 and 4.

Q: -13y+1 2y+3y-5 olo

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A:

Q: Y1 = Y2 Y2 = -Y1 OA. y1 = sin(x) + cos(x) OB. Y1 Y2 = cos(x) – sin(x) = etr Y2 = Y2 = e? Y2 = cos(x)…

A:

Q: 1. The slope of the tangent line for the function f (x) = In x at x = 1 is: (A) (B) 1 (C) 0 (D) None…

A:

Q: 100 (x– 6)" X- n = 0

A: Given

Q: 3x2+10ху + 3y3 = = 11

A:

Q: 1/4+1/5-1/6+1/7-1/8

A: Given, -1/4+1/5-1/6+1/7-1/8

Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

A:

Q: Find both first partial derivatives. z = 10y?/x az ax az ду II

A: Solution-

Q: Evaluate the following integrals: 1. So? 2. cos 2x dx

A:

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2…

A: The solution is given below

Q: Consider the function f(x) whose second derivative is f"(x) = 4x + 4 sin(x). If f(0) = 2 and %3D %3D…

A:

Q: Vx +7 lim x-2 x2 – 4x +4

A: Given,            limx→2x+7x2-4x+4

Q: 3 Consider the function f(x) Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(æ) =…

A: Here, the given function is: f(x)=5x3-3x6

Q: CURRENT OBJECTIVE Determine the limit at infinity of a polynomial function Question For the…

A:

Q: Select the answer option that corresponds with polar coordinates (3, –150\degree). so 90° WIN 45° 7…

A:

Q: Given P = (4, – 4) and Q = (3, – 4), find the components of PQ PQ =

A:

Q: Fence Length. A fence is to be built around a rectangular area of 10 square metres. The dimensions…

A:

Q: Evaluate ſ. 6x ds where C is the portion of y = 3+ x? from x = -2 to x = 0 followed by the portion…

A:

Q: Sketch the region R of integration and switch the order of integration. IT rx, v) dx dy 3 У 2 3 3- 3…

A: