df Calculate if f(u) = 6u², u(2) = −5, and u' (2) = −5. dx x=2 (Give your answer as a whole or exact number.) df dx \x=2

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Q: 20.21. Suppose that the sequence (X) is fundamental in probability in the sense that for e positive…

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Q: U (d) Let t ==; V at u = x² - y², v = 4xy³. Find- and Əx dy

A: According to our guideline we can only answer first question and rest can be reposted.

Q: Si dx 2 x² - 4x+8

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Q: 6 7. S 36+x² dx

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Q: 49. SR 3xy dA; R is the region in the first quadrant bounded by y = 2 x, y = 0, and x = 4 − y². =

A: Given Region  is bounded by  curve y=2-x, y=0 , and x=4-y2  in first quadrant

Q: The equation of the tangent line to the graph of e+√√2 cos x-2=0 at x = 45 is

A: Given ey+2cosx-2=0 at x=45To find equation of tangent line.

Q: Question 2 Let F(x, y, z) = -2y + 2x J. Use Stokes Theorem to find +√7. -d7, where C is a circle…

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Q: Evaluate the first derivative of the function below at (1, -2). y X - - + + + 1/4 = 5 y x

A: Given: xy+yx=5   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Power Law: ddxxn=nxn-1

Q: - e4 7. lim. x-2x² - 2x ex2

A: We have to find out limit

Q: Country A has an exponential growth rate of 4.3% per year. The population is currently 5,541,000,…

A: An exponential growth rate of 4.3% per yearThe population is currently 5,541,000 and the area of the…

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Q: O Ο Ο αγχ? + 9ax τ enla

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Q: 5) Determine the equation of the tangent to the curve y = √3x² - 2x at x=1.

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Q: 8. Find f(113) (x) for f(x): = COS X.

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Q: The plane that passes through  (9, 0, −3)  and contains the line  x = 6 − 3t, y = 2 + 5t, z = 4 +…

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Q: 4 x+4 dx

A: We have to evaluate ∫4x+4 dx.

Q: Express In(z) in the form a + ib. (Simplify your answer completely.) z = -5 + 5/ In(z) = n = 0, ±1,…

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Q: O The slingshot reaches a greater height at 162 feet, which is the vertex of the parabola. The…

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Q: y+2y+y=sin x-4e™.

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Q: Which of the following conic sections could be formed when a plane intersects both cones of a double…

A: Given.

Q: of the

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Q: Simplify the expression from the previous step by canceling the common factors. sin ²0+ The…

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Q: Express In(z) in the form a + ib. (Simplify your z = -ei In(z) n = 0, 11, 12,..

A: Given complex number  z=-ei

Q: the base of the Cooling towers are used to remove or expel heat from a process. A cooling tower's…

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Q: Find the solution of 2y-y² sec²(xy²) + (2x − 2xysec² (xy²))y' = 0 given y(1) = 2.

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Q: lim- x-0 X

A: Given :limx→05x

Q: x² + 10 x3 + 3x² + 3x + 1 dx

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Q: 4. √₁² (x²³/2 + x ²¹/2₂ - x^²/2) dx

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Q: Question (5): Determine the intervals where the function f(x) = 2x³-3x² - 36x + 2 is increasing or…

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Q: Express as a single logarithm and, if possible, simplify. 1 log b +3 log c 2 log b + 3 log c = 2…

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Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 6 +…

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Q: 1. Evaluate the following integrals: dx -x² + 4x - 3 f) . dx (x - 2)√x² - 4x +3 S

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Q: #19.) as which of the following points lies on the line x=2€, A(2,4,27 BC-2,2,17 C(4,5,2) D(6,6,2)…

A: 19.The parametric equation of the line x=2t, y=3+t, z=1+t

Q: The production costs per day for some widget is given by, C(x) = 2500-10x-0.01x²+0.0002x³ What is…

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Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: Solve the following problem by the two-phase method: Maximize -₁ - 2x2 subject to 3x₁ + 4x₂ ≤ 12 X1…

A: We need to maximize the value.

Q: The​ half-life, T, for a particular radioactive element is 9 min. Find the decay rate of the…

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Q: 6. f 2x³sin (3x) dx

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Q: Solve the following limits by algebraic method and by the corresponding theorems b) lim (senx)m x-0…

A: use the trigonometric identity to solve the limit.

Q: (e) Find the area of the region inside the circle r = 3 sin and outside the cardioid r=1+ sin 0.

A: Above question is solved.

Q: Express e in the form a + ib. (Simplify your answer completely.) z = 3/

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Q: #2.) Calculate the slope of the tangent to the given function at the given point or value of x b.)…

A: 2.b) gx=x+2, P-1,1d) fx=5x-2, P4,52 Note:     multiple questions are given, we are answer only one…

Q: Find all values of z satisfying the given equation. (Enter your answers as a comma-separa cos(z) =…

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Q: Question 6 dz Find the partial derivative of z with respect to x da = -2xy (3x²+1) sin(x²y) + 6æcos…

A: In this question, we want partially differentiate z with respect to x.

Q: Question 6 af Given f = esec (#) -ya+y, find dy (#) sec² (=) ye NO -y+In (y)

A: Given :f=esecxy-yx+y

Q: 19. Find the area in the first quadrant bounded by the parabola y² = 4x and the line x = 3 and x =…

A: The equation of the curves are C1: y2 = 4x ⇒ y =2xC2: x= 1C3: x = 3 To evaluate: The area of the…

Q: Determine the angle between 0 and 2m that is coterminal to 1020⁰. 10 3 5 3 3 3

A: we have to find a angle between 0 to 2π that is coterminal to 1020

Q: Given that (x - 5)² is a factor of P (x), and that a = 2, find the values of b and c.

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Q: b.5 (a.a, (a) a) + (3B,0. #16.) The vectors d and e are such that 1a1-3 and 1el =5, and the angle…

A: [d] =3 [e] = 5 angle is 30  cos30 = 0.866