Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = 6 u = (1, 1) v = 3V2, 3/2

Q: A ball is dropped from the top of a building that is 15 m high. The position of the ball after t…

A:

Q: 20 x° cos xdx 22 x cos xdx cos xdx 24

A:

Q: Find the present value of $57,000 due 15 years later at 8%, compounded continuously.

A:

Q: For f(x)= (n+gvx)m *, find f'(0.1) and f"(0) n: Student number in his/her group. g: Group number…

A: First we find f'(x) and f''(x) of the given function and put the value 0.1 and 0 respectively

Q: A 2-ft-high and 5-ft-wide r

A: answer is in next step

Q: Cos x sin (sinx) dx

A:

Q: value of n

A:

Q: Determine the absolute extreme values of f(x) = 5x – 10~/x on the interval [0, 16].

A:

Q: Find the given higher order derivatives. et (x) = cos(3x- 2). Find f"(x). 39) %3D (153) (x). %3D

A:

Q: 1. If cos(x) = and sin x < 0, find sin(2x) as a fraction in simplest terms. sin(2x) = -4 5 -24 25 24…

A: Given cos(x)=35 and sin(x)&lt;0

Q: A population growing with harvesting will behave according to the differential equation dy 0.1y(1 –…

A:

Q: 3. If cos x = -, find sin(2x) given sin x < 0. -3 O O

A:

Q: Application Section. 16. Consider the bottom half of the ellipse: y =V40 – 4x2 , which has…

A:

Q: b) Let f(x) = ax+b/x. Suppose that a and b are positive. What happens to f(x) as increases? Circle…

A:

Q: 3. The position of a Roomba is given by the function s(r) = r –21² + 120r, where time, 1, is in…

A: In order to solve this question we need to get the velocity and acceleration function.

Q: To test this series for convergence n° +. 00 n6 – 3 n=1 You could use the Limit Comparison Test,…

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

Q: Find slope of the tangent line to the graph f(x)=; at x = 0. 1+cosx

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: 3 | (1+ e*)° e° dt D -1 E t In (t) dt 2 F In ( 1+ dt 1

A:

Q: Evaluate the following items below. Write your answer on a separate sheet of paper. 4 1. Find the…

A:

Q: Write the given system without the use of matrices. 1 -1 9. 1 3 d 3 -7 1 y + 2 -1 t dt -2 dx dt dy…

A:

Q: f(x) -? The graph of a function f and its tangent line at 0 are shown. What is the value of lim x→0…

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

Q: Find the general solution of the given differential equation: dy = x²y %3D dx

A: Solving

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: Find an equation of the tangent line to the function y 3x2 at the point P(1, 3). = Soluti

A:

Q: Ax) = - х — 6 3 X + 2x - х — 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the gradient of the function at the given point. w - x tan(y + z), (8, 5, –2) Vw(8, 5, –2) =

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

A:

Q: Find the area under the graph of the function over the interval given. y=x; [1, 5] 2. The area under…

A: Explanation of the answer is as follows

Q: Solve the inequality. (Round your answers to two decimal places. Enter your answer using interval…

A: Given query is to find the solution of the inequality.

Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v…

A:

Q: What is the solution to this differential equation y"(x) - 4y'(x) + 4y(x) = 0? %3D I. y = e2x II. y…

A: Find your answer below

Q: 1) fox)= (x +2)-4

A:

Q: * If an object moves in rectilinear motion (along a single axis) with a velocity given by v(t) then…

A: The total displacement in position in time interval [t1, t2] is given by : ∫t1t2v(t) dt We need to…

Q: x² + 4x - 4

A:

Q: Solar photovoltaic (PV) cells are the world's fastest growing energy source. In year t since 2018,…

A: Given problem:- Solar photovoltaic (PV) cells are the world's fastest growing energy source. In year…

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A:

Q: Find the most general antiderivative or indefinite integral. dx

A:

Q: 3. 9x -dx (x² +7)

A:

Q: %3D Find the most general antiderivative or indefinite integral. (Hint: 1+ tan 0= sec0) (-3-3t - 3…

A:

Q: Consider the function y = V9x2 + 81. Using the values x = 7 and Ax = 0.8, calculate Ay- dy. Round…

A: Given problem Consider the function y = √9x² +81. Using the values x = 7 and ∆x=0.8, calculate…

Q: Consider the graph of y = (2) shown below in blue. Estimate the value of the derivative at z1. Then…

A: From the given graph we can see that the slope of tangent to f(x) at x = 1 is close to -1

Q: 6. Find the area bounded by: a. The curve y=4x-x and the lines y=0, x-1 and x=3. b. The curve…

A: Explanation of the answer is as follows

Q: Question (' Which of the following is true for the series n Σ 5n +1 n=1 Select one: O Converges to 5…

A: As per Bartleby guideline, only the first question has been answered. Please repost mentioning the…

Q: 19 |x* sin xdx

A:

Q: 4. Consider the function f(x) = (2x - 3)5. Discuss the continuity and %3D differentiability at x =…

A: 4.f(x) = (2x-3)15 from the graph, f(x) is not differentiable at x=32 , since slope changes at x=32…

Q: Solve the given initial value problem. 6x°y + y² 2x6 + 3xy' dy y(2) = - 2 dx O x°y² + xy* = 112 =…

A: Here we have to solve the given initial value problem.   dy/dx = -(6x5y+y2)/(2x6+3xy) , y(2)=-2

Q: 25 Jr'sin xdx 27 (x'sin xdx 27 29 |x' sin xdx

A:

Q: Find the integral (o (b+1)x*2 +(c+1))(x*** +(-1)"(a+2)) dx . b+2c+1 Vx°

A:

Q: A chemist needs 8 liters of a 25% acid solution. The solution is to be mixed from three solutions…

A: A)2 litres of 50% solution:2(0.5)+x(0.1)+(6-x)0.2=8(0.25)1+0.1x-0.2x+1.2=20.2=0.1xx=2 litres of 10%…

Q: 1. Find the second derivative for f(x) = (2r² – 3)* (Answer should be in simplified factored form…

A: Given problem:- Find the second derivative for f(x) = (2x2  - 3)8