6. What is the integral that describes the enclosed region between y = 4x - x² and the x - axis ? A. [(4x - x²) -x]dx B. [4x -x]dx c. f x² dx D. [4x - x²] dx 7. What is the area of the enclosed region in problem number 1? A. 10.67 sq. units C. 24 sq. units

Q: ef. F. F. dr. F(x, y) = 9xi + 4yj C: r(t) = ti + √4-t²4j, -2 ≤ t ≤ 2 Evaluate

A:

Q: ^ du 1 1+2 Sinn

A: Solving the given integral using the substitution method Also using the formula for the integration…

Q: C. Find the angle coterminous to the given angle that has the opposite sign. бл 1. - 7 2.-258°

A:

Q: Determine the behavior of the functions defined below. Note that it is common to write "g(z) → oo"…

A: The given function is;  g(x)=-10x3+5x2+5. Repost the next parts.

Q: Use one of the following three formulas for the area of the region enclosed by C 1 fxdy = f - ydx =…

A:

Q: Find the value of z in the solution of the following system: - 1x – - 4y - 4z = 99 4x + 2y + 2z = 88…

A:

Q: Determine an and as for each arithmetic sequence. See Examples 3 and 4. 23. 5, 7, 9,... 24. -3, -7,…

A:

Q: What two nonnegative real numbers with a sum of 66 have the largest possible product? The numbers…

A:

Q: Evaluate the definite integral. 18t (elst i+e¹j+t k)dt S (¹²¹ ₁+ (e-1) i-(¹-1) j+k els 1 - (e¯¹ − 1)…

A: Follow next step

Q: The f sin 2x cos 2x dx is 1+3 cos 4x 1 sin²4x + C 24 1 In|1 + 3 cos 4x| + C 12 {A} {B} {C} - In|1 +…

A:

Q: Sketch a function that is continuous on (-∞0,00) and has the following properties. Use a number line…

A: We need to choose correct options for graph of f'(x).

Q: f(x)=x√ 36 = x² ntercepts (x, y) = (x, y) = (x, y) = elative minimum (x, y) = elative maximum (x, y)…

A:

Q: Use a graph to estimate the coordinates of the lowest point on the curve x = t³ - 31, y = 1² +1+1.…

A: Consider the parametric equation x=t3-3ty=t2+t+1 Sketch of the parametric equations is shown below.

Q: 3) Find a vector equation and parametric equations for the line segment that joins (-2, 4, 0) to…

A:

Q: Create Representations to Communicate Math find the total surface area of each prism. 1. 2. 6 f 29…

A:

Q: Determine if the following series converges. If the series converges, determine if it converges…

A:

Q: Determine the constant of proportionality, k, given y directly proportional to x and y= 400 when…

A:

Q: In 2000, the population of a city was 76,000. The population had grown to 111,000 by 2011. If the…

A: We have to find the year.

Q: 11. f²(2x - 3) dx 12. ²₂(x³ + 2x) dx 13. f(x² – 2) dx

A:

Q: Find the indefinite integral. Solution in handwritten. 1. f(x²-9)(2x) dx (-8x)√3-4x²dx 2.

A:

Q: Use the appropriate technique of integration to compute the following antiderivatives. SHOW THE…

A: Solve the following

Q: 2. Let f(x)=x-3x² a. Determine all x-values where f(x)=0 b. Fill in the table below with the…

A: This question can be solved using the concept of points of inflection.

Q: ·SS v₂ Vx (2yi) •n do where S is the hemisphere x² + y² + z² = 9, z≥ 0. Use the normal vectors…

A:

Q: Find the indefinite integral. Solution in handwritten. 1. fx sin x² dx

A: Indefinite integral

Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

A: Given:

Q: 4.0 mR/h = A. 0.004 R/h B. 0.04 R/h C. 400 R/h D. 4000 R/h

A: Problem statement is not given so considering unit conversion by given options.

Q: TC=575+2Q

A: ANSWER Is in next step

Q: Σ n=2 7 n(In(n))*

A:

Q: What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt =…

A: Given that,  x2+y2=64

Q: 6) The variables x and y satisfy the differential equation X = y(1-2x²), dx and it is given that y =…

A:

Q: Find the arc length L of the graph of r(t). r(t) = 9 cos(t)i +9 sin(t)j + tk, 0≤t≤ 2π

A: This is a problem of vectors and integration. Based on concepts and formula of arc length we will…

Q: 2) Sketch the curve with the vector equation r(t) = costi- costj+ sin tk. Show the direction of…

A:

Q: Hamzah who is 5 feet tall is walking away from a lamp post at the rate of 30 feet per minute. When…

A:

Q: What is the Laplace transform of the given differential equation? y" 2y1 = 0, y (0) = 0, y

A:

Q: Find a3 w дх ду дz if w — exyz = 0.

A:

Q: Below is the graph of a polynomial function with real coefficients . All local extrema of the…

A:

Q: 5. a) All edges of a cube are expanding at a rate of 3 cm per second How fast is the volume changing…

A:

Q: What two positive real numbers whose product is 22 have the smallest possible sum? The numbers are…

A:

Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

A:

Q: Consider the vectors. 6i- j, -8i + 4j (a) Find the dot product of the two vectors. -52 (b) Find the…

A:

Q: 2) A curve is such that dy e3x dx ey and the point (0,0) lies on the curve. Find the equation of the…

A:

Q: x²+x dx (x²+1)(x+2)

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given problem:- Find the domain of r(t) and the value of r(t0)  r(t) = cos(πt)i - ln(t)j + √(t -…

Q: Let f (x, y, z) be a function such that : (i) the function f (x, y, z) decreases most rapidly at the…

A:

Q: Consider the curve C with parametric equations given below, defined for t ∈ R. (a) Determine the…

A: We use the properties of parametric curve

Q: The eigenvalues of the matrix 139 - 84 240 145 (a) Find an eigenvector corresponding to X₁ = 1 X1 =…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 13 ft/s. At what rate is the angle…

A:

Q: (a) (c) 1² diz +1 cos(50) de (b) (d) √ X x² + 1 I √x+1 1 dx dx

A:

Q: y² − 5y = x³ - e² +c where c is the of integration. Setting x= we have . Thus, we have y — 5y — ( —…

A: This is a problem related to integration. Based on the general formula we will answer the question.

Q: xz •Evaluate So So So ²³x² sinydydzdx X

A: