Find the area of the region enclosed between the curves defined by the equations y = vx +2,y= x , and y = 0.

Q: Determine the following Laplace transforms: (i) mathcal L \ cos^ 2 3t\ .

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Q: АСTIVITY 2 FINDING OTHER TRIG VALUES Given some initial values, apply the different trigonometric…

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Q: Compute f, for f(x,y)=xln(xy). %3D

A: We can find the answers as below.

Q: sincxt sintpx)dx -元 -IK 1/0

A: 1π∫-ππsinx sin(px) dxusing property∫-aaf(x) dx= 2∫0af(x) dx ;  f(-x)=f(x)=1π×2∫0πsinx sin(px)…

Q: Consider the solid a drawn in the first octant, as shown below, which is formed by the surfaces y =…

A: We have to find the mass of the solid.

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: Find an equation for the line that is tangent to the caurve y= 3x-3x at the point (-1,0). The…

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Q: a" + C,C E R. In a If a is any positive number except 1, then a" du True False

A: The given statement is True.The exception exist at a=1 because then in denominator we will have ln1…

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Q: undamental set of solutions of a homogeneous linear nth-order differential equati mprises(Choose…

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Q: Find the area of the shaded region 10x) = 8x - 2x - x, g0x) = 0

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Q: |A:k||2||Br:||2) < ||A||F||B||F k=1

A: answer is in next step

Q: Nx+ 10 - 100 Rationalize the numerator of

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

Q: Find the Cartesian coordinates of the given point. (8, 0) 1) (0, 8) 2) (-8, 0) 3) (8, 0) 4) (0, -8)

A: Given problem:- Find the Cartesian coordinates of the given point.   (8,0)

Q: The solution to the indefinite integral 3. + 7x 1)dx is given by which of the following? Note: C is…

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Q: Find the area between the loops of the limacon r = 7(1+ 2 cos 0). Area =

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Q: This is a graph of f'(x), the derivative of f(x). At which of the marked values is: f(x) greatest?…

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Q: The average rate of change (AROC) of b(x) = x? + 4x over [1,3] is given by which of the following?…

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Q: Draw a graph that does not pass through -8 and 8. Identify 3 points that is continuous at that…

A: Solve the following

Q: y = C,x + C2xlnx is a two-parameter family of solutions of a DE on (0, 0). What would the values of…

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Q: Differentiate h(t) = 54ª %3D

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

Q: Find the equation of the tangent line of y = 6e* at xo = 0. (Use symbolic notation and fractions…

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Q: 4. A COHunu Iunctio JU), laS a uoma -6 <x<-2 x=-2 -2 <x<0 x=0 0< x<6 f' does not exist f" does not…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Use Stokes' Theorem to evaluate curl F· ds. F(x, y, z) = ze'i + x cos(y)j + xz sin(y)k, S is the…

A: Stoke's theorem: The surface integral of the normal component of the curl of F is equal to the line…

Q: Compute the sum of the scries 1 n(n+1) 2". n=1

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Q: Suppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. Prove that…

A: Solution is given below:

Q: 1. Describe the graph of the equation: x2 – 5y2 – 4x – 10y – 46 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The function f is given by f(x)=9.x^2/3+3x-6 has a relative minimum at x=? A. -8 B.-1 C.-1/8 D.0

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Q: [1 1 3 3 1 3 3 0 2 1 1 1 1 2 0 1 2 1 0 1 1 3 6 2 1 4 2 3 2 1 2 4 2 1

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We have to find the limit

Q: Find the area with respect to y of the region bounded by x = y² + 2 , x = 0 , y =– 1, and y = 2. |

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Q: 6/9 Correct Question 8 of 9, Step 1 of 1 Find the total area bounded by the x-axis and the curve y =…

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Q: initial deposit of $1,000 is placed in a savings account with an APY of 4.3% sume the interest rate…

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Q: a) Find the arc length of the catenary y = coshx between X 0 and x = In4. b) Graph the functions y =…

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Q: 8. If V represents the volume of an object, what does AP represent? - dt

A: dydx-Represent the Rate of change of 'y' with respect to 'x'. Here, 'y' is dependent variable and…

Q: 1. For which function below does lim f(x) = -∞? X-2+ 1 f(x) = - x-2 1 f(x) = - (2 – x) x² - 4 a. с.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: In the integration What is the value of u? xV1-4in?x a. u= 4ln² x In x b. u = 2 c. u = In x? d. u =…

A: The integration of the integral is  1/[x sqrt(1-4ln2x) ].

Q: Let y = tan(4x + 4). Find the differential dy when x = 4 and dæ 0.2 Find the differential dy when x…

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Q: sin sin ³ O de *と

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Q: latch the vector field with its graph. F(x, y) = yi -6 5 5 -5+

A: Given: F(x,y)=yi Find: graph of vector field

Q: Answer each question appropriately. f(x) dx = 9. Find -2 f(x) dx , if f is odd. Suppose that

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Q: 4. For the given function find the local extrema using the Second Derivative Test. f(x) = x³ – 9x2 +…

A: maxima minima

Q: -2000x has the marginal-demand function D'x)= where Dx) is the number of units sold at x dollars per…

A: First we'll integrate and the we'll put the given value. So i am providing my handwritten notes…

Q: To rationalize the denominator of 45 what value should the numerator and denominator be multiplied…

A: We can answer the question as below.

Q: 1 Consider the function f(x) : 2x. At what value of T does f(x) 48 have a critical point? Round your…

A: The given function is: f(x)=148ex-2x For critical point, solve f'(x) = 0 for x.

Q: Verify Green's Theorem by evaluating both integrals dx + x² dy = // | da ду дх for the given path.…

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Q: Describe the graph of the equation x2 + 4x – 16y + 36 = 0. -

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Q: 1. The set of 2 x 2 matrices with real number entries, denoted M2(R) : a, b, c, d e R}, is a vector…

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Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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