f(x) = x² - 4 - 2 k-x X if x # 2 if x = 2

Q: Compute the dot product. (Give an exact answer. Use symbolic notation and fractions where needed.…

A: Since, we have to compute the dot product of the expression given below:-(3j+5k).(i-8j)=?

Q: An espresso stand finds that its weekly profit is a function of the price, , it charges per cup. If…

A: An expresso stand finds that its weekly profit is a function of the price, x,…

Q: A person has $40,000 to invest. As the person's financial consultant, you recommend that the money…

A: Let amount invested in Treasury bills is x  Let amount invested in treasury bonds is y  Let amount…

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A:

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Ft=A·ert     Ft=19000·e0.094·t   A.  For t = 9 Ft=19000·e0.094·t=19000·  e0.094·  9=44275.83

Q: (a) Verify that y=tan(x + c) is a one-parameter family of solutions of the differential equation y'…

A:

Q: 1,0 18

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Compute the partial sums S2, S4, and S6. S2 = S4 = S6 = 3 1.2 + 3 3 + 2.3 3.4 +...

A: First we find the sops of given sequence.

Q: please provide types solution step by step

A: The average value of a function f (x,y) over a rectangle R is given by  Average = 1AR∫R∫fx,ydA Where…

Q: Use the chain rule to find dz dt 11 dz dt = √t, y = ²/2 t z = sin(x) cos(y), x =

A:

Q: Cheap Chips Corp. has determined that the profit, in dollars, derived from the production and sales…

A: Given profit function  p( x ) = 2000xe-x40 Where profit in dollars  x is the units sale

Q: 5. Use the Limits at Infinity Theorem and limit laws to evaluate lim f(z) where 818 16-² f(x)=…

A: fx=16-x26x2-5x+4

Q: Express the polynomial f(x) in the form ax + an - 1 Find a fourth-degree polynomial function that…

A:

Q: 4) Suppose the velocity of an object is v(t) = 9t-t³, where v(t) is measured in feet per minute.…

A:

Q: Solve the given equation 3e*+2 = 75

A:

Q: Use the table to the right to find the given derivative. d[ f(x) dx x+3 x=4 f(x) [X3] (Simplify your…

A: Given that ddxfxx+3x=4

Q: fa 2D Free-body diagram has four unknown support reactions, the problem is: Statically Determinate O…

A:

Q: Find a quadratic equation with the given roots. Write your answers in the form Ax2 + Bx + C = 0.…

A:

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

A:

Q: In this problem, y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' +…

A: We need to solve the given initial value problem and the interval in which it is valid.

Q: Find the volume of the solid that lies below the paraboloid using Double integrals in Polar…

A: This is question of calculus Here we have to find volume using double integration method  Curve…

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Total 4 parts  Value at time t  Average and instantaneous rate of change

Q: a) lim (-2x¹) = 8118 ) lim (-2x¹) = xx ) lim -√x = 118

A:

Q: Use the standard Maclaurin series for sin(x) to find the first three non- zero terms in the…

A:

Q: Use the Integral Test to determine whether the infinite series is convergent. To perform the…

A:

Q: Find an explicit solution of the given initial-value problem. dy_y2. = y(7) = 7 y = dx حمد

A: Given: dydx=y2-1x2-1,y(7)=7 We are required to find: The value of y.

Q: SO f'(2x) dx. +6 Lºx xf"(x) dx.

A: The given integral expression is:∫04 f'(2x) dx

Q: 12-0 dt = + C

A: We know that the integral of x^n dx = x^(n+1)/(n+1)

Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (6 cos(t), 6 sin(t), 6…

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

Q: Find the arc length of y = (*2²)* + over [1,4]. 2(x+2)² (Use symbolic notation and fractions where…

A:

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L = 1200 feet apart. As the…

A:

Q: Calculate the linear combination. 5(i +2j) - 3(2j+ k) + 7(2k − i) = (x, y, z) (Give your answers as…

A: To calculate the following linear combination. 5i+2j-32j+k+72k-i=x, y, z where,  x=?y=?z=?

Q: Find the cosine of the angle between the vectors (1, 1, 1) and (8, -7, 12). (Use symbolic notation…

A:

Q: Use the equations to find дz дх дz ду || || дz дх дz дх OF дх ƏF дz and and əz ду дz ду x2 - y2 + z²…

A: Given: ∂z∂x=-∂F∂x∂F∂z and ∂z∂y=-∂F∂y∂F∂zx2-y2+z2-8z=9 We are required to find: ∂z∂x and ∂z∂y

Q: An general equation for the plane passing through the points (0, –1, 2), (−1, −5, 4), and (2, –4, 3)…

A:

Q: Evaluate the limit: lim X-7-3 sin (x+3) 2 x² +8x+15

A: The given limit is limx→-3 sinx+3x2+8x+15

Q: Yes or No? If No, give a reason. Let f be a function. 8 and f(8) = 8? (a) Is it possible that f(7)…

A:

Q: Find the most general antiderivative of the function. antiderivative.) F(x) = f(x): = 2x4 + 6x³ +³ -…

A: To find the most general anti-derivative of the following function. fx=2x4+6x3-xx3, x>0

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: differentiate the function f(v)=(v^1/3-2ve^v)/v

A: fv=v13-2vevv NOTE:-Here in question brackets are not given v^1/3 but as we see it must be v^(1/3)…

Q: The equation of the line that goes through (3, 2) and (-7, 10) can be written in the form y = mx +…

A:

Q: Sketch the graph of the following parametric equations. a. x = 4, y = sint b. x = e^t, y = e^2t, t ∈…

A: a) x=4 ,y=sint b) x=et,y=e2t ,t∈[0,∞) c)x=3sint,y=4cost ,t∈0,pi

Q: Find the derivative of the function. g'(x) = - y = sin(x) cos(x) In(3 + 4v) dv

A:

Q: Compare the functions f(x) = x³ and g(x) = ex by graphing both functions in several viewing…

A:

Q: Let f(x) be a continuous and differentiable function such that f(3)=7 and 2 < f'(x) < 4 for all x.…

A:

Q: Use the formula T = T(t) = [r'(t) = r²(e)] - '"(t) x Ir'(t) x r"(t)|2 T(0) = r(t) = 7t, to find the…

A:

Q: Solve the differential equation. (t-4) s' +8(t-4) s=t+4, t>4

A:

Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the…

A:

Q: Find all the second partial derivatives. f(x, y) = xy - 4x5y² fxx(x, y) = fxy(x, y) fyx(x, y) = =…

A:

Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: r=135 in h=168 in Rate of increase of radius=1.2 in/sec Rate of decrease of height=-2.8 in/sec