An object with an initial velocity of (0) = 2 has an acceleration of a(t) = 3t² + 6. Find its velocity at t = 5.

Q: Find the value or values of c that satisfy the equation the following function and interval. f(x) =…

A: find values at function

Q: ¯¯1⁄2æ² e X

A:

Q: Sketch the curve of the given function analyzing the following. -12x²-4 y 1) Find all the intercepts…

A:

Q: Find the gradient field F = Vp for the potential function <p below. p(x,y,z) = In (2x² + y² + 3z²)…

A:

Q: Find the volume formed by rotating the region enclosed by: y = 5√x and y = x about the line y = 25…

A: Given that  y = 5√x  y = x  about line y = 25

Q: Determine the derivative of h(x) = (4x-1)(5x+2) using the product rule. Use positive exponents in…

A:

Q: Find the derivative of y with respect to t. y = cot¹√6t

A:

Q: 4. If |g| = 11, |h| = 23 and g + h = 18, then determine | - |.

A: Some vector equation with value determine

Q: The power P of a jet of water is jointly proportional to the cross sectional area A and to the cube…

A: given power P is jointly proportional to the cross sectional area A and to the cube of the velocity…

Q: Use l'Hôpital's lim x→0 lim X→0 Rule to find the following limit. 3 sin (x) - 3x 3 4x³ 3 sin (x) -…

A: limx→03sin(x)-3x4x3

Q: Suppose that the equation In (3x - y) + x sin (z) = ln3 defines z as a differentiable function of…

A:

Q: Find the inflection points and analyze concavity near the inflection point using an interval chart.

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative

Q: Name the conicor limitingformrepresentedby the given equatios

A: Comparing with the general solution to check the conic equation

Q: If k(x) = 249(z) and k(4) = 2, then k' (4) = 8 ln(2) - 1 8 ln(4) +1 O-8 In (2) + 1 ○ In (2) + 1 0¹ 4…

A:

Q: Consida a function that has all of the following properties: Ind w Janga дко for r <2 20 for ملو 9"…

A: Please see the below picture for detailed solution.

Q: Show that among all triangles with fixed perimeter, the one with largest area is equilateral.

A: as per guidelines we are supposed to answer first question only

Q: 01², a) Find the equation for the tangent plane at the point P, on the given surface. ) Find the…

A:

Q: A particle is moving with the given data. Find the position of the particle, s(t). v(t) = t²-6√t,…

A: v(t) = t2 - 6√t and s(4) = 8  We have to find s(t)

Q: 3) f(x)=3x-4 can be written except this one works for x> in exponential form as f(x) ene-4), How can…

A: f(x)=3x-4

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 7 tan u - 7…

A:

Q: x)=-2x7/4+28x-13 What are the critical values of the function - separate multiple answers with…

A:

Q: Solve the problem. Find an upper bound for Es in estimating ㅇ O 0 옳 ww 1575 { (8x5 - 2x)dx with n =…

A:

Q: Consider the following series. 1 Σ 8√7-1 n= Use the Direct Comparison Test to complete the…

A:

Q: Write an equation that expresses the statement. (Use k as the constant of proportionality.) A is…

A: Proportionallity:- 2 elements are proportional to each other whenever one element increase or…

Q: (b) Find the total area between the graph and the x-axis between x = -2 and x = 1. Round your answer…

A: (a) To select the correct graph of fx=xx+2x-1. (b) To find the total area between the graph and the…

Q: hello, thank you for the help but can you verify the answer.

A:

Q: Let E be the region in space above the rectangle [0, 4]x[0,8] (the first interval being on the…

A:

Q: Consider the following series. n = 1 1 +1 Use the Direct Comparison Test to complete the inequality.…

A: Please see the below answer.

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A:

Q: what i sthe angle of the whole circle called

A: To find the angle of a whole circle.

Q: Estimate I (a) Left endpoints. I≈ 5 = √ (4.2² + 4x + 1) da using n = Sº (b) Right endpoints. I≈ 3…

A:

Q: Forecasting Profits As a result of increasing energy costs, the growth rate of the profit of a…

A: A function f (x) is concave up on an interval I if f"(x) &gt; 0 for all x in I . A function f (x) is…

Q: Find the gradient field F = Vip for the potential function = X F=

A: Given that            φ(x,y)=yx To determine: The gradient field F=∇φ

Q: Let ƒ(x, y, z) = x² z and let C be the curve given by r(t) = (6e¹,6√√/2t,6e¯) for 0 ≤ t ≤ 1. Compute…

A: Find ds and then solve the given problem.

Q: The figure shows a sector of a circle with a central angle 0. Let A(0) be the area of the segment…

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

Q: 0 K A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 900…

A:

Q: Find a unit vector in the direction in which f(x, y, z) = x³z² + y³z + z- 4 increases most rapidly…

A: fx,y,z=x3z2+y3z+z-4

Q: y = 2 -12x +4 3 +

A: Please see the below picture for detailed solution.

Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. Im 0.1+√2 0.1+√/2 O-1-√√2…

A: Writing given integral

Q: Triangle ABC has vertices A(4, 7, 7), B(1, 6, 5), and C(–2, 9, 8). Which kind of triangle is △ABC?…

A: given  A=(4,7,7) B=(1,6,5)C=(-2,9,8)distance between two point is D=(x2-x1)2+(y2-y1)2+(z2-z1)2

Q: Find the volume of the region bounded above by the surface z = 6-y² and below by the rectangle R:…

A: To find the volume of the region bounded above by the surface z=6-y2 and below by the rectangle R: 0…

Q: 4 }Let ƒ(x) = 6x + = Find the open intervals on which f is X increasing (decreasing). Then determine…

A: ⇒fx=6x+4x

Q: d Find the position of a body moving on a coordinate line at time t for an acceleration a = (0) =…

A: a=d2sdt2=8e2t v(0)=20,  s(0)=6

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A:

Q: For what values of a, m, and b does the function f(x) satisfy the hypotheses of the mean value…

A: f(x)=-5  ,  x=0-x2+x+a,  0&lt;x&lt;1given f(x) satisfy hypothesees of mean value theorem there for…

Q: Let f(x, y, z)=xze +3(x+y)-xz³. Then the derivative off in the direction of v=7+j+2k at the point…

A:

Q: 4 √16-x² 3 SS S 1 + -dz dy dx = -4 0 (Type an exact answer, using as needed.)

A:

Q: A javalina rancher wants to enclose a rectangular area and then divide it into five pens with…

A:

Q: 2. Given that L: 4x-5y = 15, (a) Find the y-intercept of the line L. (b) Find the slope of the line…

A: part (a) and (b) is shown.

Q: Find f. f(x) = f"(x) = 5ex - 7 sin(x), f(0) = 3, ( 77 ) = 0 EN 2

A: Given :f''x=5ex-7sinx