9! Calculate 7. 4! 5! 3024 15120 1814400 126

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: 8) The vertices are (2,4) and (2,8). Foci are (2,3) and (2,9).

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Q: Eliminate all the constant in the equation and simplify your final answer. 1. y = C,x + C2e*

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Q: Showw Fom yex)=D90Y,(x) + a, y,(x) that seris sol utron is of the hene y,cx) contains only even…

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Q: *Sketch all appropriate regions or solids.* Evaluate the integral by using a Jacobian "…

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Q: Use the Laplace transform to solve the following initial value problem: y" + 4y/ + 29y = d(t – 5)…

A: Taking Laplace transform on both sides and solve it.

Q: Consider the following. X - 2 f(x) = (a) State the domain of the function. O all real numbers x…

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Q: Efxe*dx (1+x)2

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Q: What is the inflection point of the curve y = x3 – 3x2 + 3

A: The given equation is  y=x3-3x2+3.

Q: 253 Ux_ dx

A: Use substitution method to solve the integral

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 2x x* +7 xp-…

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Q: Calculate the Taylor polynomials T2 and T3 centered at x = a for the function f(x) = 7 ln (x + 1), a…

A: f(x)=7ln(x+1)For x=0f(0)=7ln(0+1)f(0)=0Differentiate f(x)f'(x)=7x+1For…

Q: Find the gradient of the function at the given point. In(x² – y) – 6, (2, 3) z = Vz(2, 3) =

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Q: C) Use separation of variable or homogenous equation to get the particular solution for each…

A: The objective of the question is evaluate the particular solution of the differential equation.

Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

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Q: 2, |-7- 8X-xT

A: Let's find.

Q: What is the minimum point of the curve y = x2 – 6x + 4? Solution must be in detail

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Q: Given: (x - 2) - (y- 1) 1, identify the center, vertices, and foci. 4. 5

A: Hyperbola

Q: The graph below is comprised of transformation of tool kit functions. 5- 4 2 -6 5 -4 -3 3 5 -2 -3+…

A: Given query is to find the the function of the graph.

Q: th Use the ri"-term test to find wether the fottowing Sexies exe divergent or not- n+2

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: 5- 4 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5+ Write an equation for the function graphed above y =

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Q: 2x find fz" a x dx

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Given the area of the region enclosed by y = x and y = -2x* , identify the "a" and "b".

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Q: 10 Use aepropriate substitution Ond then a trigonometric oubtitution to evaleiate the integial. dx…

A: This question can be solved using the concept of integration by substitution.

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: R is the region bounded by the given curves. R: y = x, x = 0, x = 1, x-axis Find I, Ry, Iy R.…

A: Let's find.

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. dx…

A: Given query is to find the integral.

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 3t, y =…

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Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

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Q: oriented

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Q: Question 3: Find A-!, using “super-augmneted ma- [3 1 1 -17 A = 5 2 1 1 -1

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Q: f(x)

A: We will find the equation of tangent.

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Use the Root test to determine whether each of the following series conve n" (5n - Зп3 a) 231+2n b)…

A: We can solve the given problem as follows:

Q: Consider f(x,y) =x'+y* +2ry-x+5. Find its critical points and use the second partials test to…

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Q: Find the interval of convergence of the series. (3x)" 2" n=1 (Use symbolic notation and fractions…

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Q: The marginal cost of producing the xth box of light bulbs is  7 + x^2/1000      dollars per box.…

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Q: Solve for æ: 109z - 2 = 710z – 6

A: To solve for x.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

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Q: 1. a) A pond initially contains 500, 000 gallons of unpolluted water has an outlet that release 10,…

A: Let x(t) be the amount of pollutant in grams in the pond after d days Here we use a formula; Total…

Q: a) l . Find the length of the curve 20 y= x, 0sx<3 V5 Length= b)! !: Find the area of the surface…

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Q: R(x)= 1 dt . 76 +4 Use FTC part II to find the derivative of the function

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Q: Maximize the function f(x, y) = 3xy– 4x² – 3x – 5y + 12 subject to the constraint 3x + 4y = 5 Find…

A: To find the maximum of the given function wuth the given  constraint .

Q: Which one of the following equations is in the slope- intercept form? O a. 2x+3y-6+0 O b. 2x+3y= 3

A: The equation in slope intercept form is given by:y=mx+cwhere m=slope, c=y-intercept

Q: Use left-endpoint approximation to approximate the area under the curve f(x) = – 0.3x + 25 between x…

A: Let's find.

Q: Σ n+1 (n+2)! n=0

A: