The graph of f(in blue) is translated a whole number of units horizontally and vertically to obtain the graph of g (in red). The function f is defined by ƒ(x) = |x|. Write down the expression for g(x). -6 -5 4 g(x) = 0 Continue Ty 8- 7 6- 5- -2- -4- g 6. 0|0| X ?

Q: \(\) The vectors u= and V = are not orthogonal if and only if x=-136

A:

Q: Use the Modified Euler method to approximate the solutions to each of the following initial-value…

A:

Q: Evaluate the following integral using inversion of order: of 2³ dydx Remember to show complete…

A: Given integral ∫01∫x3x2 x5  dy dx

Q: A triangle is placed in a semicircle with a radius of 6ft, as shown below. Find the area of the…

A:

Q: If # f(x) > 48 for x [2,10], then b [ f(a) da ≥ 384, where a =2 and b = 10. a Select one: O True O…

A: First I have written a property of integral and easily find the True is correct option.

Q: Let à = (1, − 1, — 5) and 6 = ( – 5,0,− 1). Find the projection of b onto a. proj¡ b = >

A:

Q: Find the point P on the line y=2xthat is closest to the point (25,0). What is the least distance…

A:

Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

A: We check the given statements are True or False.

Q: The determinant for the following matrix is [511] L4 2 O C 10 2

A:

Q: (m) X + x + 1 dx Oseparable exact Olinear in x Olinear in y homogeneous Bernoulli in x Bernoulli in…

A:

Q: Which of the following is a point on the sphere with radius r = 3 centered at the point (-1,0, -1)?…

A: We have given a center and radius of sphare

Q: AXB=[% O O O O O Given the following matrices A-B-²3³] [8 12-241 So 16 24 -48 a. a=6, b=6 Ob. a= -6,…

A:

Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

A: We want to select the correct option.

Q: The vectors u = and v= - are not parallel if and only if Select one: O True O False x = 18

A: I am attaching image so that you understand each and every step.

Q: Refer to the figure below. (a) Find the angle opposite the longest side. (b) Find the area of the…

A:

Q: (x²+1)³ .dx

A:

Q: 2л 1. The region R is bounded by the x-axis, x = 0, x=- 3 A. Find the area of R. 3sin(). 2 and…

A: Given:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 9t + 9 cot…

A:

Q: We want to use the Alternating Series Test to determine if the series: Σ (-1)²+1 k=1 converges or…

A: Given series ∑k=1∞  (-1)2k+1 k3k7+17

Q: ODE. Find the general solution of the following. Show complete solution v/x 3. (x + ye )dx-xe dy = 0…

A: Identify the differential equation and solve it

Q: Evaluate the integral. 7/4 O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i + O 10i +…

A:

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is y O X O None of…

A:

Q: The function f(x) f(x) = Σ car". 72=0 C1 = C2 = = Find the first few coefficients in the power…

A:

Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: By using the compund interest formula

Q: 3+2=?

A: What is the value of 3+2

Q: Hos solv the step? 0.10.9062cos (1-√3x) dx 11 1 2

A:

Q: a particle moves along a curve x = t^3+1, y=t^2, z=2t+5 , where t represents the time . its velocity…

A: Velocity is obtained by differentiating the position function

Q: If ƒ_¹₁√√√¹-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

A: The objective of the question is evaluate the definite integral using polar co-ordinates and choose…

Q: Find the general solution of the given differential equation. 3 +24y = 8 dy dx y(x) = Give the…

A:

Q: Estimate the area under the graph of f(x)=x^2+4x from x=1 to x=5using 4 approximating rectangles and…

A:

Q: Given the series: 1 1+ + + 9 27 does this series converge or diverge? diverges converges 00 If the…

A:

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: If [ f(x) dx = 18, then √ (f(x) + 4) da is equal to: A B с D 20 22 25 30

A: Evaluating the given definite integral

Q: Let à = i-5j - 2k. Find |āl.

A: Using the formula if  a→= x i^ +yj^ +zk^then a→=x2+y2+z2

Q: Using Determination of Integrating Factors, solv y' = 2xy - x

A: Given differential equation y'=2xy -x

Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

A:

Q: Using Linear Coefficients of Two Variables, solve: (2x - 5y + 3)dx - (2x + 4y - 6)dy = 0

A:

Q: (b) (c) dy dx separable 7 y-x exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

A:

Q: Suppose that the functions h and g are defined as follows. h(x)= (-5+x) (5+x) g(x)=-8-6x (a) Find…

A:

Q: Obtain the general solution to the equation. dx y dy + 6x=5y

A:

Q: Please recheck it, the answer is wrong. It isn't 823.

A:

Q: Given the geometric sequence: 24, Find an explicit formula for an, where the first term is a₁ = 24.…

A:

Q: 6 If f f(x) dx=19 and fo g(x) dx=27, then, find 6 (5 f(x)+g(x))dx. O-68 O 46 O 122 O None of them. O…

A: Solve the given

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

A:

Q: If A is square matrix of order 3 such that|3 A| = 54. Find |A|

A: Using the properties of determinants

Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: 0 = ^pz(Az + x) xpxx

A: Let's solve given diffrential equation.

Q: 2π 1. The region R is bounded by the x-axis, x = 0, x = 3 A. Find the area of R. sin(). 2 and y =…

A: Given: Region R is bounded by x-axis, x=0,x=2π3 andy=3sinx2

Q: Find the slope of the tangent line to the parametric curve [x = 4 cos(t) y = 3 sin(t) at the point

A: A detailed solution is given below.

Q: Find dy/dx if xy+2x+3y=1

A: Find dy/dx  if xy+2x+3y=1