3. If A is a vector representing 50 km/h northeast, what is 3 A ? c. 30 km/h northwest d. 30 km/h southeast a. 30 km/h southwest b. 30 km/h northeast

Q: dA; R= {(r,y): 0srs1,1 sys 4}.- %3D IR

A: Topic: Double integration over a region R

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Q: Solve the following differential equation: dv = Vcoto + V³cosece OP

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Q: a) Prove that, the characteristic of an integral domain R is either zero or a prime number. b) Let G…

A: Please follow the next step.

Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

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Q: Evaluate the following integral. Expand the integrand and write the resulting integral. | dx (Type…

A: Given:         ∫6x2x2+9dx   Expand the integrand.      =∫6x2·x2+6x2·9dx         =∫6x4+54x2dx

Q: 2. Determine the value of c, so the given vectors are perpendicular: u=[-4c, 3], v = [-1, 2]

A: L

Q: Find the area between the curves. 2 y =x - 10. y = 8 - 3x The area between the curves is (Type an…

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Q: [[ 31? dA; R is bounded by y = 0, y = 2x + 4, and y =

A: Given problem:- Sketch the regions of integration and evaluate the following integrals. ∫R∫ 3x2dA ,…

Q: dy 8. Solve the initial value problem of (sin x) = y cos x = x sin x. dx

A: Given that sin x dy/de +y cos x = x sin x Or     dy/dx +y cot x = x Which is linear I.F. =…

Q: Please

A: We will solve the integration.

Q: PROBLEM 4: Let A and B be 4x4 matrices with det(A)=5 and det(B)=-2. Compute det(3A?BA").

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Q: The following power series represent the function f(x) = 6. %3D 1+7x* E 6(-7)"x+". 4n n=0 Select…

A: Topic:  Infinite geometric series The sum of the series ∑n=0inf rn = 11-r

Q: x^2 dx V1+x^3

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Q: Use the tabular method to evaluate the integral fa (x³ + 2x-1) cos(4x)dx COS

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Q: 1. A vector is: a. a quantity whose magnitude can be completely specified by a number b. a quantity…

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Q: 1-Find the area of the region R under y=x² + 3x +2 Between x=-1 and x=2 2-the region bounded by…

A: Topic:- application of integration

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L ха = -1| 8 oProve…

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: 4. The range of the function h(x)=0.5f(-x) +2 where f(x) = 4* is: A) {y eR|y>2} B) {yeR|y>0.5} C)…

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Q: 11. If m = 13 + 2\/42 a. Find the value of ym b. Find the value of m 1 c. Show that, m²Vm + 12987 m²…

A: A detailed solution is given below.

Q: 3 Vx dx 2 x+1 Evaluate

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Q: The volume of a cube is increasing at the rate of 21 cc/min. At what rate is its surface area…

A: The volume of a cube is increasing at rate, dVdt = 21 cc/min To evaluate: The rate at which the…

Q: Which of the following is TRUE about logarithms and logarithmic functions? i. The argument…

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Q: (2r+1)dr 5. S r2+2r+1 3r+5

A:

Q: dy cot X Cos X Sin x +y=

A: The given DE is: cot x dydx+y=cos3xsin x⇒dydx+ycot x=cos3xsin x1cot x⇒dydx+(tan x) y=cot…

Q: give

A: We will solve the integration.

Q: Circle

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Q: 4 Evaluate f². dx 4-x*

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Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: We have to calculate radius and height

Q: Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4

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Q: Obtain the general solution to the equation dr +r tan 0 de sec 0.

A: Given first order differential equation is drdθ+rtanθ = secθ. We have to find general solution of…

Q: ind a parametric equation for the line that is perpendicular to the graph of the equation 3x + 4y +z…

A: We find  a parametric equations for the line that is perpendicular to the graph of the equations 3x2…

Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: Jが 10x° - 24メクt9 dx

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Q: The graph below is the function f(x) 4 -8 -7 -6 -5 -4 -3 /-2 -1 I 2 3 -2 -3 -4 -5- -7 lim f(æ) = x →…

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Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

A: A detailed solution is given below.

Q: Hiws slove du 4 dt %3D dx2 u(6,t) = L (8,t)=0 U(x, a) =0 : =4X-()x²

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Q: For the implicitly defined curve: cos(7y) 5y sin(x) dy (e.g., find y' ). dx a. Find a formula for dy…

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Q: Find and classify the critical points of the function: f(z, y) = z' + y* – 144ry + 4 Local maximums:…

A: Given that; f(x,y) = x^4 + y^4 - 144xy + 4  Let's  find minimum and maximum points;

Q: For the given power series, which one is the interval of convergence? x2n Σ (-3)" n=1

A: We can solve this as follows:

Q: Find the following. X - 12x dx Write the integrand using rational exponents. - 12x- dx dx = (Type…

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Q: Suppose that f(1, y) = 2z² + 2y – zy Then the minimum is

A: We need to find minimum value.

Q: Verify if y = 2eX + x - 1 solves v' = x -v |

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Q: Evaluate dx -31 x a,

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Q: Let B be the sphere x? + y + z? = 4. The volume of the portion of B contained in the first octant is…

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Q: 1. Which of the following relations is FALSE. A) (ab)" = a"b" B) C) (a")" = a"* D)

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost others.…

Q: dzy and -in each of the following. Find dx2 x = x= e' cost b. y = e' sint а. y = t-1

A: