Find all the complex roots. Write the answer in exponential form. The complex cube roots of 16+16i

Q: Evaluate the iterated integral **²y³ dady.

A: K=∫04∫016x2y3dxdywe know ∫xndx=xn+1n+1+c

Q: Let f be the function with domain [1, 3], defined by f(x) = −x² + 3x. The function f has a global…

A: The answer is in step 2.

Q: 1. Find the Cartesian coordinates a. 1 2 I b. -√2₁. 2 3 π

A:

Q: Calculate the derivative of the function. HINT [See Example 3.] h(x) = 3[(6x − 1)(x − 1)]−1/3

A:

Q: Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart.…

A: Given : their bases 100 ft apart BD = 100 ft let BC = x  CD = 100 - x

Q: 2 Find the position vector for a particle with acceleration, initial velocity, and initial position…

A:

Q: A ball is dropped from the top of a lighthouse that is 145 feet above sea level. The height…

A: Given height function s( t ) = -16t2 + 145

Q: What is the minimum value of f(x) = x^2 - 8 ln x   on the interval [1,5]

A: To determine the minimum value of fx=x2-8 lnx on the interval 1, 5.

Q: Use the function below to answer the questions. f(x) = 5x¹/5 - x (a) Find f'(x) = 1 X = 4 x 1 (b)…

A: Given: The function is f(x)=5x15-x   (a). Find the derivative of the given function.…

Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (4, -6) +…

A:

Q: 43. y = (2+x)√2+(2-x)², [0,2]

A: Given function:- y=2+x2+2-x2

Q: A rectangular field adjacent to a river is to be enclosed. Fencing along the river costs $5 per…

A: A rectangular field adjacent to a river is to be enclosed. Fencing along the  river costs $5 per…

Q: 6. y =√1+√8x-1 y 1$)+ (x-1) ¹4 y'= 1 + 7. y = [(x-1)(2x³ +1)]¹0 8. y = (4x²-1)³ (5x³ + 2)*

A: 5

Q: Differentiate the function with respe z' = Z A .6 yo + Bey

A:

Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: Consider the given function. fx=5excos x

Q: Sketch the region of integration and evaluate the integral. 3 x² S S - 2x dy dx

A:

Q: Consider Line 1 with the equation: y= (1)/(2)x+9 Give the equation of the line parallel to Line 1…

A:

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

A:

Q: Differentiate. y' = y sec(0) tan(0)

A:

Q: 2) Find the rectangular coordinates of the point (5,3).

A:

Q: Find the Maclaurin series and find the interval on which the expansion is valid. f(x) = ln (1-x²)

A:

Q: Find the critical points in the domain of the function f(x) = 8x³ - 7x.

A:

Q: Solve yy'= -(x+2),Y(0)=\

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: The given points are (3,2,1) and (3,1,-7) and plane is 8x+9y+4z=17.

Q: If U and V are positive constants, find the critical point of the function. Use upper case letters.…

A:

Q: Find by implicit differentia dy dx xey = x - y

A:

Q: Show the complete solutions. 1. Represent the equation as an Augmented Matrix 3x+2y+z=8 4x-3y+3z=7…

A:

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

A:

Q: The dosage for a certain type of chemotherapy drug depends on several parameters of the particular…

A:

Q: Show that the substitution v= ax + by + c transforms the differential equation A first-order…

A:

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: Topic = Vector

Q: for the following question above help me solve b and f, please. thank you

A: The solution is shown below- As per bartleby guidelines only first part is allowed to solve. Kindly…

Q: How many critical points does the function f(x) = 8sin2 (3x) have on the interval (0, π)? Provide…

A:

Q: Let f(x) = (3x - x²) if 0 ≤ x ≤ 3 and f(x) = 0 if x 3. (a) For what value of k is f a probability…

A:

Q: The data in the table concerns the lactonization of hydroxyvaleric acid at 25°C. They give the…

A:

Q: (It sinx) dx + #* HN (It sin x) dx

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A: As we know that, To expression to calculate the equation of the plane when it passes through the…

Q: The functions describes the distances from the origin at time t of an object in rectilinear motion.…

A:

Q: The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 9x - 4 8x + 5 (a)…

A: The solution is shown below-

Q: Water is poured into an inverted cone (such as the one shown) Assume the cone's height h is four…

A:

Q: -1) Use the limit definition to find the derivative of f(x) = x² at x = 4.

A:

Q: the

A:

Q: The curves F1(t)= (-4t, t², - 2t5) and F2(t) = (sin(3t), sin(2t), t - *) intersect at the origin.…

A: The given curves are:r1→(t)=-4t, t2, -2t5r2→(t)=sin(3t), sin(2t), t-π

Q: For the ellipse equation: 4x^2 + 9y^2 = 36 find the center, vertices, foci and graph it.

A: The given equation of ellipse is:4x2+9y2=36x29+y24=1

Q: Differentiate the function. h'(x) = h(x) = In(x + √x²-2)

A: Use the derivative of log function.

Q: Find an equation of the plane. The plane that passes through the point (-1, 2, 1) and contains the…

A: Please see the below picture for detailed solution.

Q: Bernoulli Equations des 4 1/3 y²-³ y=x²y²²

A: y'-3xy=x4y13divide both side by y13

Q: Consider f(x) = x²(7 - x)5. (a) Find f'(x) and factor your answer completely. f'(x) = 67228x³ -…

A: To find the critical points of f(x), we need to find where f'(x) = 0 or where f'(x) is undefined. To…

Q: Determine algebraically the solution to the system:  x^2 + 2y^2 = 11 3x^2 - 2y^2 = 25

A: Solutions are : (3,1),(3,-1),(-3,1) &(-3,-1) For detail...go through the solution...I have…

Q: Consider the function f(x) = x² + 2 on the interval [0, 1] using the left Reimann sum with n=4. Find…

A: