Find the area of the region bounded by: r = 5 cos(20) 0 ≤ 0 ≤ 2π

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) COS(π/X9) dx x10 Need…

A:

Q: Water is flowing into a conical cistern at the rate if 8 cubic m/min. If the height of the inverted…

A:

Q: Consider the basis S- (V₁, V2, V3) for R³, where v₁ -(1, 1, 1), v₂-(1, 1, 0), and v3 - (1,0,0), and…

A:

Q: Set up the integral in terms of h(x) that evaluates the shaded area under the curve and evaluate…

A:

Q: An airplane takes off from an airport at sea level and its altitude (in feet) at time t (in seconds)…

A: The given equation is: h=3400lnt+1   ...1   As we know that; The Power Law: ddxxn=nxn-1 The Chain…

Q: Determine the absolute extrema of the function f(x) = (x-3)ex on the interval -1≤ x ≤ 3.

A:

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 3x)y², y(0) = = 2…

A:

Q: A plane contains the point A(-1,2,5) and has direction vectors (2,-1,3) and (-3,1,5). Which of the…

A: Given:   Point : ( -1 , 2 , 5 ) Vectors : ( 2 , -1 , 3 ) and ( -3 , 1 , 5 )

Q: •uy uz [T dx dz dy 1x represents the volume of the region in the first octant that is inside the…

A: Use triple integral concept

Q: Vectors: given vectors "=(-3,-1,4) and v = (-2,3,2) 2u- v Add/subtract/scalar multiplication: Find…

A: Given: u=-3,-1,4    and  v=-2,3,2

Q: 3. Test the following series for being convergent or divergent: (2) Σ < (3n)! n!(+1)!(+2)! (c) Σ…

A:

Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

A: I have just use the methods and easily find the all solutions. Main solutions are in the boxes.

Q: In y = C₁e* + C₂е¯x

A: Given problem:- Find its differential equation through eliminating arbitrary constants.    In(y) =…

Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

A:

Q: - a. Find the derivative of 3y – 2xy² = sin x + cot y b. Find the derivative of 2y x(3³) – In(²/²) =…

A:

Q: 10. 11. 12. [V² da [v¹ de [5 V/210 de

A: We need to evaluate integral. As per Bartleby's guidelines we can solve only 3 subparts. Please…

Q: 6 All open sets are bounded.

A: Some times true

Q: B = {x ER: x is a counting number} = {1,2,3,...} C = {x ER: x = 2n + 1 where n is a nonnegative…

A:

Q: Evaluate y' y = cosh²12x +sinh²6x

A:

Q: d the characteristic equation of the matrix by inspection. -4 2 67 -5 0 0 0 60 0 03] e…

A: As we have see that given matrix is upper diagonal matrix and we also now that eigen values of upper…

Q: Find the total area under the curve f(x) = 2xer² from a 2xe from x = 0 and a

A:

Q: Find a potential function f for the field F. F = (3y + 5z)i + (3x + 4z)j + (5x + 4y)k A general…

A:

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A:

Q: Consider the basis S - (V₁, V₂) for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

A:

Q: eight (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 16t²…

A:

Q: ,19 The estimate of an integral of of f(x) dx is given as 1860.9 using 1-segment trapezoidal rule.…

A:

Q: con 2. 體 + dt +13y = 3sin(2t)

A:

Q: What is the derivative of −9 sin² (-3x³)? O-162x³ sin (-3x³) cos (-3x³) no correct answer O 162x²…

A: just differentiate the given function by using chain rule of derivative and easily find the required…

Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = r (a)…

A:

Q: Consider the function f(x) = 3x² − 2x +9, 0≤ x ≤ 7. The absolute maximum of f(x) (on the given…

A:

Q: 5. Let D be the region bounded by the lines y = x, x = 3 and the curve y = 1 (a) Sketch the region…

A:

Q: mathematically

A: We will solve the problem

Q: [Select] A. f(x) = 3x² + 2 B. f(x) = 3x² +4 C. f(x) = 4x³ D. f(x) = 3x4 [Select] A. 6 B. 5 C. 3 D. 2…

A: topic- functions and limits

Q: Plot the point with the given polar coordinates. Choose the graph below that represents the point O…

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: After…

A:

Q: (: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

A: The given curve: x+y=1

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

A:

Q: -3π/2 2. S TL √sinx + 1 cos x dx

A: We solve the given definite integral by using substitution method .

Q: It is projected that x years from now the population of a certain city will be changing at the rate…

A: To find out the population 3 years from now.

Q: Find the area between the curves f(x) = −x² + 4x and g(x) = x² - 6x + 8.

A: Basic identities of integration are used

Q: Given cost and price (demand) functions and C(q) = 115q + 43000 and p(q) = -2.3q + 900, what price…

A: We have, Marginal profit (MF) = Marginal Revenue (MR) - Marginal Cost(MC)

Q: Find the line integral along the given path C. [(x - y)dx, where C: x=t, y = 3t+8, for 0 ≤t≤6 с √(x…

A:

Q: → → If m= (2. 1. 5) and n = (3. 0. x) are perpendicular, then the value of x is

A: Solve the following

Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

A: Solution of given question is written in below steps.

Q: An open-box (top open) is made from a rectangular material of dimensions a = 8 inches by b = 6…

A:

Q: Question Define R as the region bounded by the functions f(x) = around the x-axis, what is the…

A:

Q: integral

A: Please refer to the image below

Q: [x²-1 x#1 x = 1 I. II. III. 7. Given f(x) = {*²2 f(1) = 2 (x+1)(x-1) A. I only B. Il only obrisani…

A:

Q: What is the second derivative of the function y = -6 sin x cos x where x is? Round your answer to…

A:

Q: solve by differential √226

A: