Find f'(-1) for f(x) = 2x, Express in exact form?

Q: Find L(te²t sin 3t)

A: Ltsin3t=2(3)s(s2+32)2               Ltsinat=2as(s2+a2)2               =6s(s2+9)2 Now,…

Q: The solution set of the equation x2=12-4x is {2,6} صواب خطأ

A: The given equation is: x2=12-4x  ...(1)

Q: Find Laplace 2 2 [sin(34) + 65inh czt) ]

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Q: 1. Evaluate the following limits (a) (b) x sin r lim 2-0 1- cos x lim (1+a/x), a, b>0 x →+∞

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Q: Given x4 (x + y) = y2 (3x - y), use implicit differentiation to find dy/dx

A: Given: x4 (x + y) = y2(3x - y)

Q: 15. Ssin (In x) dx.

A: If  u and v are function of x then the integration of uv by parts is given by…

Q: So x² dx √4-x²

A: To find out the integration.

Q: Numerical Integration: •2 S² 1. -dx X

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Q: Expand the quotient by partial fractions. x²+3 x² - 13x+42 ²+3 x²-13x+42 (Simplify your answer.)

A: Given :x2+3x2-13x+42

Q: Find the surface area of revolution about the x-axis of y=2x+4 over the interval 2≤x≤3

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Q: 6.0 4 -4x x5e хе dx

A: I am attaching image so that you understand each and every step.

Q: Derivatives of Transcendental Functions Directions: Find the derivatives of the following items.…

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Q: y = x and y = x²

A: We will use simple Integration rules to find the area of the region bounded by the curves y=x and y=…

Q: y = x *Arctan (x4)

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Solid S is bounded by the surfaces z=x2+y2 and z=4-x2-y2

Q: The lines y = - 2 and x = 2 are perpendicular. صواب خطأ

A: We have to find out solution

Q: Suppose that R is the finite region bounded by f(x) = 2√x and g(x) = x. Find the exact value of the…

A: The given curves are: fx=2x and gx=x (a). So, the bounded region is as shown below;   Apply the…

Q: a²z 7.Find of z = 2x³-5xy² xy

A: Given double differentiation. First we find the partial derivative of z w.r.t y. Then we find the…

Q: y"+y=2xsinx

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Q: Question 2 Given a differential equation as करवर d'y dy dx² +6x +6y=0. dx By using substitution of x…

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Q: Lim x²-4 x-x-6

A: Using L-Hospitals rule

Q: . Find the centroid of the solid generated by the area bounded by y = sin x and the lines x = 0; x =…

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Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

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Q: a cylinder is inscribed in a sphere of radius a,solve for the maximum volume.complete solution.

A: Given problem:- A cylinder is inscribed in a sphere of radius a,solve for the maximum volume

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A: Given problem:- Determine whether the following definite integrals converge or diverge and evaluate…

Q: Find the distance between the two straight lines and x=1+1, y=2, z= −1+2+ x=2-t, y=3t4t, z=2t at the…

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Q: 6. Determine the area of the region bounded by x = −y²+ 10 and x = (y 2)²

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Q: Question 1 A body cools from 72°C to 60°C in 10 minutes. How much time (in minutes) will it take…

A: We will use Newton's law of cooling to solve this question.

Q: 8. The general solution of y"- y = x²ex + 5

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Q: Where x <0, the point (-x,2) is located in Fourth quadrant AO Third quadrant y-intercept .CO Second…

A: Solve by quadrant

Q: C064Exp3 Weight:1 The base of a solid is the region bounded by y = √x, y = 0, and x = 4. If every…

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Q: Q5: Find: a) £[3-5e²t + 4 sin t - 7 cos 3t] b) C- 3.s s²+16 5 s² +

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Q: 5. Ssin' x dx.

A: I am attaching image so that you understand each and every step.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Given query is to find the the velocity when height is 120 ft.

Q: Q.3) Evaluate the following dx 1) [ x² + 10x + 30 T 2) [²√³x² 3) ² ² 1/2 dx xy y sin x dx dy dx dy

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Q: 12 Rewrite with out rational exponents, and simplify, if possible: (169) 2 4n4√√AO 4n 4.5 BO 8n4…

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Q: Plot the point with the given polar coordinates. 11π 11) 12 T 3 57 6 H 77 6 47 3 2n 3 K|2 3πt 2 TU ✓…

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Q: 2 √z T Evaluate the integral SSS (² cos ²0 +2²) r de dr dz. 000 ▪▪▪ The value is (Type an exact…

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Q: d²y dy Consider the differential equation +9y = 9x + 3. dx² dx (a) Find the general solution. (b)…

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Q: 1+x² 1. Find the area of the region bounded by the curve y=- and the lines y = 0, y = x, x = 2. 2x2

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Q: 7. Find the area between f(x)=-x² + 4x and g(x) = x² - 6x +5 over the interval 0≤x≤1 Ei..

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Q: An airplane is moving horizontally at 150 mph over an observer at a height of 4,000 ft. How fast is…

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Q: Ifv= (x² + y² +2²)−¹, then 320 + + is 8²v 8² Əy² 822 1 -1 -1/2 Other:

A: Given that     v = (x2+y2+z2)-1/2

Q: True or False: If lim f(x) = 2 and lim g(x) = 4, then lim[3ƒ(x)² – 4g(x)] = −4 *G O True O False

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Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

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Q: Differentiate   f(x) = (4x3 + 1)2   using the product rule.

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Q: (j) [e³ sin 2rdr

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Q: ӘТ ӘР V

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Q: 3. y = 1 √x Calculate y'. 1 V3

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Q: Find f'(a) for f'(a) = f(x): = -9 √2 - 4x

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