dx f(x2²x+10) ² २

Q: 1 If f(x) = compute f(2) and f'(2)

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Q: 10- There is a rectangular playing field in Alaska Denali Park for a grizzly Bear with an area of…

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Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: We know  Function differentiable if it is continuous through out its domain   At sharp/corner points…

Q: TT sinx sin 2x dx 2 cos x

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Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

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Q: Find dy dx In y = e sinx O dy dx O dy dx O dy dx O dy dx = yey sin x =yey cos x = 4 1- ye cos x yey…

A: We can find the answer as below.

Q: 13

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Q: Write the equation of the circle centered at (1, 10) with radius 3.

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Q: Given that lim_ f(x) = 1 lim_g(x) = -2 lim_h(x) = 0, X→2 x → 2 X→2 find each limit, if it exists.…

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Q: integrate using partial decomposition (y^2)/(y+1)^2(y-1)

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Q: [ (ax + b) c+b) dx = ○ / (ax + b) ² + C O O4a ¹ª (ax + b) ² + C O4a (ax + b)² + C O4 (ax + b) + C 7a

A: You must have basic idea about indefinite integral in order to understand this better.

Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

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Q: 寸

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Q: Given the following total revenue (TR) and total cost (TC) functions for a firm, TR = 5820Q + 40²…

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Q: Find the area of the region enclosed by the curve y=x²-3x³ + 2x² at interval from x=0 to x = 2.…

A: The graph of the curve y=x4-3x3+2x2 is To evaluate: The area of the region enclosed by the given…

Q: (g) Plot the following set in the complex plane: {z EC ||z- (1 + i)| ≤ √2} U {ze C| Im z>2}.

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Q: 3 E (It=X) xp x te

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Q: Differentiate f(x) = a4x4 -3ax² with respect to x. Assume that a is a constant. f'(x) =

A: f(x)=ax4-3ax2 differentiate with respect to x

Q: 3.) The natural length of a spring is 8 inches. A force of 20 lb stretches the spring to 10 in. Find…

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Q: Find F(s). ℒ{e−8t cos(6t)}

A: To find the laplace transform of the given function.

Q: An open-top box is to be made from a 12-inch by 18-inch piece of plastic by removing a square from…

A: We can find the value of x by using the second derivative test.

Q: Evaluate the closed line integral of H about the rectangular path Pi (2,3,4) to P₂ (4,3,4) to P3 (4,…

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Q: On your own, verify that the indicated expression is an implicit solution of the given first-order…

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Q: Find the normal line to f(x) = ax² - 4ax at x = 3. Assume that a is a positive constant. Next…

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Q: s shown in the required reading or videos ove that the harmonic series below diverges ithout using…

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Q: H.W: Solve the differential equation y'-(1+x)(1+y²) = 0

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Q: S arctan y dy y3

A: Let's evaluate given integral.

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: Its tot as TR = 300q - 6q² and its total costs as TC = 4q². a) Determine the optimal quantity and…

A: Given

Q: 1) Find the equation of the tangent line and normal line to the graph of the function y=x√√x-1 at…

A: As we know that; The expression for the equation of the tangent line is: y-y0=mx-x0 Where m is the…

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: Given the function f(x) = x³ - 2x² + 3x within the interval [0,2], at what values of x do the…

A: You must have idea about how to find maxima and minima of any function.  Right Option: Second  Wrong…

Q: Use the Laplace transform to solve the given initial-value problem. y'' − 4y' + 4y = t,    y(0) =…

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Q: 2√ty' =√1-y²

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Q: H.W: Given the following table find x3, fo Af₁,Af₂, A² fo j xj Afo A² fo 0 fo 30 A² fo 4 20 Af₁ 2 14…

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Q: ſª √√√x – 1 dx is equal to 8 {A}-- 15 32 {B} - 15 - {c} {D} 8 15 32 15

A: To find out the integration.

Q: √√2/2 11x² dx So √₁-x²² 10

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Q: 1 f(x) = (x² + 3x)² at [2,3]

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Q: 4- Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

A: Given curve, y=5x from 0 to 4

Q: The graph of a particular function passes through the point (3,4). Its first derivative is 2yy' + 2x…

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Q: Let h(x) = tan(3x + 4). Then h' (2) is and h'' (2) is

A: The function is given by hx = tan3x+4 To evaluate: The values of h'2 and h''(2)

Q: = f(x,y) = x² Determine whether the function z = (why or why not) +y + y² for for (x, y) = (0,0) (x,…

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Q: solve the differential equation for initial value problem using the method of undetermined…

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Q: Find f'(x): f(x) = sin(2x) O 4sin (2a) (2 ln 4) cos(2x) O 4sin (2x) (2 cos(2x)) O 4sin (2x) (In 2)…

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Q: r H+ sin x sin 2x dx 2 cos X

A: Solving the problem by finding the value of the integration.

Q: Write the product as a sum or difference: 20 cos(482) sin(162) =

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Q: 4π 3 If Ꮎ cos(0) = sin(0) = = then

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Q: Solve cos(x) = - 0.38 on 0 < x < 2π

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Q: A rectangle is enclosed by the coordinate axes and the line 2y + x - 5 = 0 Determine the length and…

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Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy² +…

A: Given differential equation is (y3+kxy4-2x)dx+(3xy2+20x2y3)=0