Find the area enclosed by the ellipse a² b + y=-b√√√a²-x² y² 62 b y=1/√√a²-x² = 1 shown in the figure.

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

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Q: SLO C. Use parametric equations and polar coordinates to graph, differentiate and integrate…

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Q: 5-46 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: (b) J₁ In x x3 dx

A: To determine whether the following integral is convergent  or divergent.  ∫1∞lnxx3 dx Note: Since,…

Q: The expression √√64x² equals næ” where n, the leading coefficient, is: and r, the exponent of a, is:

A: Given Expression 64x23

Q: Find the volume of the solid whose base is bounded by the circle ² +² -9 (a circle of radius 3,…

A: To find volume of solid whose base is bounded by the circle x2+y2=9,whenthe cross-sections…

Q: Use the substitution z = 6 sint, 1 36-22 dz (a) Calculate √√36-22 in terms of t. ≤t≤to simplify the…

A: We have to evaluate the integral : ∫136-x2 dx using the substitutionx=6sint, -π2≤t≤π2.

Q: If f(-2) = 14, f'(-2) = -16, f(3) = -7 and f'(3) = -5 then: L. z. ( x. f"(x) dx = Submit Question

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Q: For the differential equation: = sin(z)y, what is the slope at (0,2)? 02 04 O 1 0

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A: Finding the moment of the forces M=-175(0.285+0.285)i+175(0.18)j

Q: Find the Laplace tranform of the ff: e3xsin4x

A:

Q: Find the 4 th Taylor polynomial of f (2) = Ti ( z ) - N s ( 2 ). If zg= 0 COS N

A: Solving the problem

Q: Determine whether the improper integral diverges or converges. [² x x²e-x dx

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Q: Solve the following equation using the method of undetermined coefficients. d^2y/dt^2 + dy/dt − 2y…

A: NOTE: Refresh your page if you can't see any equations. . write the auxiliary equation for the…

Q: 1. In three-space, find the intersection point of two lines ₁ = (−1,1,3) + t(1,2,-2) and r₂ = (5,3,…

A: The point of intersection of two lines is a common point on both lines, it has same x,y and z…

Q: Find the Laplace tranform of the ff: 2x2

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Q: The complete graph of y = f(x) is given below. Use it to graph the following function. g(x) = f(x) +…

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Q: Use the Chain Rule to find az/as and az/at. дz əs əz at || || z = tan(u/v), u = 8s + 2t, v = 2s - 8t

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Q: First make a substitution and then use integration by parts to evaluate the integral [ 2 si Answer:…

A: The given integral is ∫2 sinxdx

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Q: Determine the following integrals. 1 fsin5 x.cos¹ x dx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find an equation for the plane tangent to the given surface at the specified point. x = 2u₁ y = u² +…

A: We have x=2u, y=u2+4v, z=v2, at (0,8,4). Then we have to find an equation for the plane tangent to…

Q: 6) Use the Binomial Expansion Theorem to determine the sixth term in the expansion of (x + 3y)8

A: The nth term in the binomial expansion of (x + y)n is given by Tr+1=nCrxn-ryr

Q: Evaluate the integral. (Use C for the constant of integration.) [7t sin 7t sin²(t) dt

A: Explanation:-

Q: If the profit function for a firm is given by P(x) = -1600 + 170x-x² and limitations on space…

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Q: If y(t) = -² -1 and a(0) = 1, then d(t) = -2t + 1. false true

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Q: 3. Find the linear unbounded operator A and its domain D(A), and write the system in the form U₁ =…

A: We need to find the linear unbounded operator A and its domain D(A), and write the system in the…

Q: Using the the derivative method power rule. How come the answer is 2t^-3? Instead of 2t^1?

A: Given: f=-1t2 We are required to find: The derivative of f

Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (5 cos(t), 5 sin(t), 5…

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Q: (a) f(x) = F(x, 2): then ƒ'(x) = (b) f(x) = F(4,x): then f'(x) = (c) ƒ(x) = F(x,x): then ƒ'(x) = (d)…

A: Total derivative of function z = f(x, y) is given as dz=∂z∂xdx+∂z∂ydy We are allow to solve first 3…

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Q: Given the matrices A and B, solve for X. 5X - B = A. 5 A: - [31]-[9] = and B = -4 Select one: a. O…

A: A = -35-3   -4   ,   B = -3  4-355X-B = A

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

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Q: e = exp(1) is called the exponential function. Which of the following are true?

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Q: 1-16 Evaluate the line integral, where C is the given curve. 1. fcyds, C: x= t², y = 2t, 0≤ t ≤3

A: To evaluate the following line integral. ∫C y ds, C: x=t2, y=2t, 0≤t≤3 Note: Since, the student has…

Q: Subject :- Finance    Bob will run at least 37 miles this week. So far, he has run 22 miles. What…

A: Given :- Bob will run at least 37 miles this week. So far, he has run 22 miles. To find :- What are…

Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:  fx=2-62x To Find:  To determine the domain of the derivative of fx and  then to evaluate it…

Q: Problem 13 Find the solution of the initial value problem x' = Ar, with A- (₁₂2) and 2(0) = (-¹₁).

A:

Q: Calculate the volume of the parallelepiped spanned by u = (1, 1, 9), v = (5, 0, 3), and w = : (0,…

A: To calculate the volume of the parallelepiped spanned by  u=1, 1, 9, v=5, 0, 3, and w=0, -3, 0.

Q: 3. Consider the following vectors: (2,3) & (-5,1) a. Find the dot product between them b. Find the…

A: We have to find the dot product and angle between two vectors.

Q: 3 For the differential equation: (), what is the slope at (0,2)? √2y² +1 O 9 O 1 O

A: The differential equation y'=f(x,y) represents the slope field of the curve y=g(x,y). at any point…

Q: Let M be a hermitian matrix. Fill in its missing entri- M = -3 -9 - 5i 1 - 2i -4 −6+2i 0

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Q: Bus Econ 14.1.89 ¤ In order to study the effects of World War II on a certain country's economy, an…

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Q: Determine whether the improper integral diverges or converges. 3 √x(x + 5) 1.0⁰ dx

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Q: [8x(2x + 1)' & dx 5. Evaluate by a complete U - substitution (4 steps) replace all x's with u's}…

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Q: f(x) = x²e-x. Note: It is known that lim…→∞ x²e -X

A: f(x)=x2e-x

Q: Find the general solution. If an initial condition is given, find also the corresponding particular…

A:

Q: Given one form a line, match it with its equivalent equation in another form. [x, y, z] [3, 2, 1] +…

A: a. x,y,z=3,2,1+t1,2,3b. x,y,z=-1,0,1+t0,1,0c. x,y,z=1,2,3+t3,2,1d. x=0y=1z=te.x=-ty=1z=1+t