Evaluate the following expressions. Your answer must be an exact angle in radians and in the interval T ㅠ Example: Enter pi/6 for . (a) tan-¹(√3)= (b) tan ₁-¹ (-√3)=1 (c) tan-¹(-1) - 6

Q: b) What will be the average cost per unit for the first 10 units

A:

Q: Sketch the set of points in the plane which satisfy the equation y + 2 = 3(x − 4)

A: We have to draw the graph for y+2=3(x-4)

Q: afdæ dx Find + C

A:

Q: Arrange the given expressions below in correct order to complete the solution of dy dx finding given…

A: To arrange the given expression below in correct order to complete  the solution of finding dydx…

Q: Find the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Suppose sin = cos(0 + 0) 3 Find the following. sin(0 + 0) ,sino 20 29 Moreover, suppose is in…

A:

Q: 10. Solve the following initial value problem dy dx = e(2x-4), y(5) = 0.

A:

Q: A boat pulled Fed the Where through dock. The the with toward if the of beat the the approching 1)…

A:

Q: 2. Consider the region between the curves y = √√ and y = x/4 for x ≥ 0, shaded below. (a) The curves…

A: The volume of the solid formed by the region bounded by the curves y = f(x) ,y= g(x) around the…

Q: Solve the initial value problem. dy y dx x X 5|8 = 5xe*, y(1)=5e+7 The solution is y(x) = -

A: The given differential equation is;  dy/dx - y/x = 5xex, y(1)=5e+7

Q: Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. A = - -3 3 -63

A:

Q: Consider the function f(x) = 5x + 3x¯ For this function there are four important intervals: (-∞, A],…

A: Given function is f(x)=5x+3x-1 Now first we shall find critical points then find whether the…

Q: Which of the following best describes the derivative of the function at a point?

A: The derivative of a function in calculus of variable standards the sensitivity to change the output…

Q: Approximate the area under the curve y=z³ from x=2 to x = 4 using a Right Endpoint approximation…

A:

Q: Can you do #3 please

A: To determine the convergence or divergence of the given series, we can use the Alternating Series…

Q: Function with given infinite power series. x20 - 2 - + 5 28 x² 7 +

A:

Q: Solve the initial value problem. 1 dy y sin e e de 2 +1 π = 1 I The solution is (Type an implicit…

A:

Q: || 4 (x + 4) dx 0 4 2 = [= ² + 4x] 2 0² [( ½ + 4×4) − ( ½ + 4×0)] 2

A: The integral is given by ∫04x+4dx To determine: the value of the definite integral. Formula Used:…

Q: 1. The average hourly wage paid to U.S. workers for selected years from 1970 to 1983 is shown in the…

A: The average hourly wage paid to U.S. workers for selected years  from 1970 to 1983 is shown in the…

Q: Let f(x)= (x+4 if -1 -(x + 1)² +2 if x>-1 Sketch the graph of y = f(x).

A: The given function, fx=x+4,if x≤-1-x+12+2,if x>-1 We have to sketch the graph of the function.

Q: A firm determines that units of its product can be sold daily at p dollars per unit, where…

A: As per the rules we are supposed to answer the first three subparts and rest others can be reposted.

Q: Find the eigenvalues and eigenvectors of the given matrix. 1 4 The eigenvalue(s) is/are (Simplify…

A: The given matrix is:A=141-2

Q: 15) [x√3x²³ +1d 0

A: let  H=∫01x3x2+1dx

Q: Solve the equation. 3 xét tốt dx dt An implicit solution in the form F(t, x) = C is =C, where C is…

A:

Q: Solve the given initial value problem. y'"'-8y" +27y' - 44y=0; y(0)=1, y'(0) = 0, y''(0)=0 y(t) =

A: The differential equation is y'''-8y''+27y'-44y=0 having initial condition y(0)=1 , y'(0)=0 and…

Q: Find the equation of the ellipse satisfying the given conditions. Write the answer both in standard…

A:

Q: graph bole 17) Find the area between the functions f(x)=x²-2 and g(x) = x.

A:

Q: A particle moves along x - axis and the differential equation governing the motion of the particle…

A: Given differential equation is 4(d2x/dt2)=-16x-16(dx/dt)  We have to find the value of x(t)

Q: For the cost and price functions below, find a) the number, q, of units that produces maximum…

A:

Q: A farmer has 1,500 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A: Given: A farmer has 1500 feet of fence and wishes to build two identicalrectangular enclosures as…

Q: Determine whether the given function is a solution to the given differential equation. d²e de dt² dt…

A: Given the function  θ=3e5t-5e2t we need to calculate if this is a solution of the given…

Q: A solid is obtained by rotating the shaded region about the specified line. about the y-axis y…

A:

Q: Find a particular solution to the differential equation using the Method of Undetermined…

A:

Q: Use Fourier cosine series of f(x) = sin(Tr) to find 3 T² - 3² 1 T² - 12 T² - 5²

A: The Fourier cosine series is a way to represent a function as a sum of cosine functions with…

Q: Rounded to the nearest cent, find the amount of money accumulated in 10 years if $17,000 is invested…

A: we have given P=17000, time =10 years, and interest rate =7%=0.07

Q: Solve the initial value problem. 12 dx dt + 2tx=t³ Int+ 1, The solution is x(t) = x(1) = 0

A: The differential equation is given by t2dxdt+2tx = t3lnt+1 Initial Condition is x1 = 0 To determine:…

Q: 1 Sody y² +9

A:

Q: 1. For the following systems (a) x' = 2) x 1-2 2 5

A:

Q: 7) [4e²* dx 0

A:

Q: Suppose that p(x) =an" converges on (-1, 1], find the interval of convergence of p(3x - 9). n=0 x=…

A: To find the interval of convergence of p(3x-9)

Q: Change the order of integration for the double integral You do not need to compute the integral. 2…

A:

Q: 19) Find the average function value over the given interval [-1,2] y = 4-x²

A:

Q: 3. Determine the limit of each of the following functions if they exist: √x-2 x²-16 x²-x-12 x-4 a)…

A:

Q: \f f(x) = X - n=0 n0 n+1 n+2 " and g(r) = (-1)+1 n n=0 n+2 , find the power series of(f(x) — 9(x)).

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 9x8 +6 (x⁹ + 6x)² dx

A: The integral is given by I = ∫9x8+6x9+6x2dx To determine: The solution of the integral.

Q: A spherical dust particle, with a radius a=0.11mm and density of 1030kg/m3, is sedimenting in the…

A: Given a spherical dust particle, with a radius a=0.11mm and density of 1030kg/m3, is sedimenting in…

Q: Convert the complex number 0 – 2i into polar form. Express the angle using radians in terms of over…

A: given complex number is 0-2i.

Q: Solve the given initial value problem. dx dt dy dt = 3x+y-e³t; = 4x + 3y; x(0) = 3 y(0) = -8 The…

A:

Q: 8. Suppose that the position of a particle at time t is given by c(t) = (2t - 1, t³/2). Compute the…

A: Suppose that the position of a particle at time t is given by  ct=2t-1, t32. To compute the distance…

Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) = and find 1…

A: fx=1x The linear approximation of fx at x=aLx≈fa+f'ax-a