Perform the operation and write the result in standard form. (16 – 31) + (-2 + 5i)

Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

A:

Q: Given AMs Xé find aM ady

A: partial derivative

Q: A certain vehicle can accelerate from a standing start to a speed of  v(t) = −0.21t2 + 16t  feet per…

A:

Q: 2. Let g (x, y) = 2a² – y². Compute g (1, 2), g (2, 1), g (1, 1), g(–1, 1), and g (2, –1).

A:

Q: x+3 3. Consider the following function. f(x) = x2 a) Find the critical numbers of f, if any. b) Find…

A: The given question has been solved in detail

Q: 7. An observer stands 200 meter from the launch site of a hot-air balloon. The balloon rises…

A:

Q: Write a logarithmic equation corresponding to the graph shown. Use f(x) = logs(x) as the parent…

A:

Q: 11. Find the second partial derivatives of the following function and show that the mixed…

A:

Q: #3: Find the maximum of the following function: h(x, y) = In(x40 y8) given the constraints: 5x² + y²…

A:

Q: (12 Use differentials to est imate fl-2.01) it fCx): x/T-x.

A: We need to find differential estimate. NOTE- As per Bartleby's guidelines we can only solve one…

Q: 1. dy for each of the following relations: dx Use implicit differentiation to find x' + y = 6 2xy –…

A:

Q: S cos°(5 – 31) di| - 3t

A: Given query is to find the value of the integral

Q: 3 Given the double integral, e* dxdy. andy. O 3y i. Is it possible to evaluate the double integral…

A:

Q: 13. ап V21+3п 15. ат — 2" cos пл

A: Follow next step

Q: Your bank offers you a personal loan of $24,000.00 at an interest rate of 5.02% compounded…

A: Given query is to find the time duration of the loan.

Q: An equation and, its graph are given. Find an inequality whose solution is the shaded region. Need…

A: Given query is to find the inequality for the solution region.

Q: Rotate the region specified above by the curve y = x and beneath by the curve y = x^2 from x = 0 to…

A:

Q: Let f(x) = 2x + 3 and g(x) = x2+ 4x + 3. a) Find and simplify (g◦ f)(x). b) Find f −1 (x) and show…

A:

Q: Use the shell Method to find the volume of the solid generated by revolving the area bounded by the…

A: The given curves are: x=4y-y2, y=x   Now find the point of intersection between the given curve and…

Q: David has available 400 yards of fencing and wishes to enclose a rectangular area. Express the area…

A:

Q: How many different words (real or imaginary) can be formed using all of the letters in the word:…

A:

Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A:

Q: 2. S(4a³ – 6a² + 15a)(-a² + a – ) da

A:

Q: Determine the volume of the solid generated by revolving the region bounded by y = x2 – 4x + 5, the…

A: The given curves are; y=x2-4x+5, x=1, x=4, y=0 x-axis From the given curves the bounded region is as…

Q: 1 let w = f(x, y, z) = Vx²y+y² z+z²x and x = 3st, y = 4st, z = 2st. a) Find ow dx dw b) Find dt and…

A:

Q: Assume a, b and c are real numbers greater than 1. Find p, q and r so that the following equality…

A:

Q: L'équation 423 = In (e4% + 2ay) définit implicitement z comme fonction de x et de y au voisinage du…

A:

Q: The marginal cost for a company to produce q items is given by MC(q) = 0.003q - 0.9q + 620. The…

A:

Q: 2. For an earthquake that measures 6.0 on the Richter scale what is the amplitude of the energy…

A:

Q: In Exercises 36–57, determine whether the series converges. 36. ) 37. E n+1 n³ n=1 n=1 (-1)²-1 n+1 2…

A: NOTE: Refresh your page if you can't see any equations. . here we have here f(n) is positive,…

Q: 4. If ) Cn (x + 2)" converges for -5 < x < 1, find the radius of convergence of the series. n=1

A: ∑n=1∞cn(x+2)n Since series convergence for -5&lt;x≤1Then Interval of convergence is (-5,1]Let R be…

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A:

Q: The area of the surface generated by rotating the curve y = 2 + e*, where 1 < x < 2, about the…

A:

Q: Use residues to establish the following trigonometric integral formula: »2n cos?(30) de = J,…

A:

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0.7 sin (t - 4). What…

A: Average value of the function v(t)over an interval [a, b] is given by:is given by;[0, 3]v(t) =13-0…

Q: Let y be given implicitly as a differentiable function cosy + e -2 -0 then the slope of the tangent…

A:

Q: 6) Find the resulting function after the following transformations are applied to the graph of h(x):…

A:

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A:

Q: 8 culate |4x2dx, given the following. 1 7 8 dx = 114 169 2 Xdx = xdx = 24 1 7 1

A: Given query is to find the value of the integral.

Q: A rectangular prism has a height of 11.5 inches, a length of 9.6 inches, and a width of 2.10 inches.…

A:

Q: 7 Calculate 2x+ x-) dx, given the following. 7 8 218 169 Xdx xdx = 12 3 3 7

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A:

Q: Determine whether the following series is converged or diverged by using the relevant test:…

A:

Q: Write the function in the form f(x) = (x – k)q(x) + r for the given value of k. f(x) = x3 – 4x? – 8x…

A: Divide the polynomial by x+2 and simplify it.

Q: The marginal cost for a company to produce q items is given by MC(q) = 0.003q - 0.5q + 620. The…

A: Given: Marginal cost for a company to produce q items: MC(q) = 0.003q2 - 0.5q + 620 Company's cost =…

Q: What amount invested today would yield $57,000.00 in 11 years if it were invested at 5.90%…

A:

Q: x2 4. a) Determine whether Rolle's Theorem can be applied to f(x) [-2,2]. (Enter 1-х2 your answers…

A:

Q: To determine the volume of the solid obtained by revolving the region bounded by y = Vx, y = 3 and…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: How long, in years and months, will it take for an investment of $1,300 to accumulate to $1,561.52…

A: