Find ?Va² - x2 dx

Q: 2y +1 e'y 1+ y? dy dy = t*y dy 4. dt 2. 3. %3D dt dt t

A: See the answer below

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A: Convert the 24% annual rate of interest to a weekly compounded rate. A number of weeks in a year =…

Q: The Pacific halibut fishery has been modeled by the differential equation dy dt where y(t) is the…

A: dydx =ky1-yM⇒y' =0.72y1-y9· 107⇒y=-90000000e0.72t+c11-e0.72t+c1

Q: = 0.3(1- 2) (-)P. dt 200 at time t. he population in equilibrium? he population increasing?

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Q: 1-3x (ii) Find the values of A, so that the function f(x) = Ax +2x-3 24 continuous for all values of…

A: answer is in next step

Q: If f(x, y) = 7xey + 7y Inx, then is given by: дудх O 49e5y + 7/x 35eby + 7/x O 25e5y + 7/x O 35e5y +…

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Q: (sin 3x sin 2x dx 3.

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Q: V3 a. Determine whether the Mean Value Theorem applies to the function f(x) = sin 'x on the interval…

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Q: Directions: Choose the letter of the correct answer. Write the letter that corresponds to the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find the curl of the vector field F=(2xyz, -xy,-z^2)

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Q: (3c) Let n E Z. Prove that if n is odd, then 4|(n² – 1)

A: here is the proof

Q: Given D (4, 2) = 5, fwm (4, 2) = 8, we know that (4,2) is a minimum we cannot tell O saddle point…

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Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

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Q: Ln (sin? (D-C)x) Using first principle find derivative of f(x) xD-C

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Q: (d) +2 = 0 112

A: We have to find the solution As per guideline we have to solve one question Please repost other…

Q: Find the area of the triangle with vertices P(1, 2, –4), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

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Q: Radioactive elements disintegrate spontaneously in a process called radioactive decay. The rate of…

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Q: Match the conclusion of the D-test D(x,y) 0, f_xx (x,y) 0, f_xx (x.y) 0, f_xx (x,y) > 0 (x,y) is…

A: Given problem:-

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The given function is: h(p)=p-1p2+2 To find the derivative of the function using the quotient rule:…

Q: ot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The win (a) Express…

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Q: Find the limit. 3x +3 lim 12x2 - 8 > Next Question

A: Given query is to find indicated limit.

Q: State sec(cosec÷) in terms of x. Hence solve the equation 1 sec(cos ec 1 2x

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Q: The student's incorrect attempt we first calculate the anale at A, using the fact that all three…

A: Here, note that the triangle PDA is a right angle triangle.

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: x = r° +1, y=r² -t a) Find dy/dx Show all your work.

A: x =f(t)dxdt=f'(t)   y=g(t)dydt=g'(t)Then,dydx=dydtdxdt =g'(t)f'(t)

Q: 1. S(In x)² dx

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Q: Given the differential equation and its initial conditions y" + 7y' + 12y = 8 with y(0) = -2 and…

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Q: Let f''(x) = 36 sin(6x) and suppose f'(0) 6 and f(0) = 4. Find f(5) a(;) =

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Q: 12. Evaluate the given integral, J x² sin x dx: A. - x2 cos x + 2x sin x + 2 cos x + c B. x2 cos x +…

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Q: 1 (f) log16 VI+1 = 4.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (Vx+4-3 if x # 5 Given: f(x) =: X-5 (к, d K so that f is continous at x = 5. if x = 5

A: We have to find out k value for which it is continuous

Q: Find Jul, Ivl, 12ul, , lu + vl, lu - vl, and lul - Ivl. = (6, -7), v= (-3, -3) u Jul |v| = |2ul =…

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Q: Using Table 15.2, if the air temperature is 41°F, and the relative humidity is 20%, the weight of…

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Q: Consider the function 70 - 3 f(x) = 22 — 2х — 63 Find the vertical asymptotes of f(x). Separate…

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Q: Find the limits of integration for the area of the region enclosed by the graphs x = 2y2 and x · y =…

A: Given graphs,  x=2y2, x-y=1 ⇒x=y+1

Q: Verify the identity by following the steps below. sin(x)cot(z) cos(x) 1) Write the left-hand side in…

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Q: Use the first derivative test to determine the location of each local extremum and the value of the…

A: For given function  f ( x ) = 2 * x * e-5*x we have to find local extremum and it's functional value…

Q: The vertical asymptote of the curve 9x3 х — 10 - is given by æ = ||

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Q: Simplify the expression. sec @ — csc ө 2) sec 0 sin 0 – cos 0 csc 0

A: Simplify the expression

Q: Determine whether the sequence defined by 1/x converges or diverges. If it converges, find its…

A: The given sequence,   an=1+8n1n

Q: (a) Find f,(1, 4) and f,(1, 4). ,(1, 4) = (1, 4) =

A: By our policy we are allowed to solve one question at a time and maximum three subpart. So here I am…

Q: Let y(x)=1/x+3 Estimate the slope of the tangent line of y(x) at the point x=1.

A: Given query is to find the slope of the tangent.

Q: 3. Determine the inverse Laplace transforms. (-2s + 5) -5s – 20 (b) f(t) = L ' 1(s² + 4) (s + 1) ]…

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Q: 20. Evaluate: 2x²Vx3 + 1 dx:

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Q: Which of the following trigonometric substitutions is the e 4x dx most appropriate to the integral f…

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Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.5x + 350, what is the…

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Q: Write the equation for a sphere centered at the point ( – 1, 7, 6) and the point ( – 7, 7, – 5) is…

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Q: Find the solution. dy 31 +9y=2ty 5/3 dt

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Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the…

A: Given that one model for the spread of a rumor is that the rate of spread is proportional to the…