udx + (1 - 3u)x du = 3u du.

Q: If ƒ(x) = 2x² - 6x + 7, find ƒ'(2). Use this to find the linear approximation to f(x) at x = 2. The…

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Q: sketch the region of integration and evaluate the integral. Your sketch should be approximately the…

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Q: A farmer wants to fence a rectangular area of 242 square feet next to a river. Find the length and…

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Q: Determine the appropriate rotation formulas to use so that the new equation does not contain any…

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Q: Which pattern of numbers represents a linear equation? 2, 4, 8, 16, 32, 64 1, 3, 1, 3, 1, 3 3, 9,…

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Q: Find the derivative of y = 3x² + 5x- 2 from first principles.

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Q: Example: find the complex Fourier expansion of the periodic function shown below f(x): = COSX TT --…

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Find or evaluate the Integral by completing the square. (Use C for the constant of Integration.) 10x…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: Consider the following. f(x) = tan(x), (3,-1) (a) Find an equation of the tangent line to the graph…

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Q: Find the vertex, focus, and directrix of the following parabola. Graph the equation. Verify your…

A: Solve the equation

Q: A rancher has 800 feet of fencing with which to enclose two adjacent rectangular corrals (see…

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Q: For Questions 1-3, use the differential equation given by y = x, y dy xy dx y > 0. 3. Find the…

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Q: police car is located 40 feet to the side of a straight road. A red car is diving along the road in…

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Q: ) Consider the function h(r) What are the inflection points of h(r)? On what x 5 intervals is h(r)…

A: We will find the required.

Q: x-4 x→4x²-x-12 Without using L'Hopital's Rule, evalute the limit: lim- Attach File Browse Local…

A: limx→ 4x-4x2-x-12By L'Hopital rule,=limx→ 412x-1Plug in the value x=4=12(4)-1=17

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 25x2 +…

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Q: Inflection points Local Extrema points с B

A: Given function is: y=xe-x

Q: 1 4. fv³ (a²-v²) dv

A: Given problem:- ∫v3a2-v212dv

Q: e Green's Theorem to evaluate [(-y²)dx + (x²)dy if the curve C is a triangle with rtices at (0,0),…

A: Top:- application of integration

Q: evaluate the integral   sigma 2-0 (2x2+1)dx using FTC approach

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: y = x² + 4, y = 2x + 4

A: Given:

Q: Using the differential length dl, find the length of the curve. r = 1,0 = 30°, 0° ≤ Ø ≤60° O O 1.530…

A: Given Problem:- using the differential length dl, find the length of the curve  r=1,θ=30°,0°≤ϕ≤60°

Q: Use a graphing utility to graph the curve defined by the parametric equations x(t)=3t sint, y(t)=3t…

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Q: Then S-4 -√25-x² 4xy dy dx = Graphs: sketch the region of integration and evaluate the integral.…

A: The objective is to  solve the above question.

Q: 19. f(x)=x²-5

A: Topic = Functions As per guidelines , At a time only one question can be answered out of different…

Q: 11. Sketch the graph of the following function. f(x)= x³-6x² - 9x

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Q: 20 x(t)= e 10 nt- u-n)_¸ ¯-¡(10π-÷n) 2j x (1) = -√ [6 / (10 mt - ² m ) _ _ - - ( 10 mt ² x(t) == é…

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Q: Graph f(x) = 2-√√5-4x Use the transformation of graphs techniques. Show all transformations. Label…

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Q: x² + y² Evaluate the double integral (3x - y) dA, where R is the region in the first quadrant…

A: Calculation of above requirement are as follows

Q: Find an equation for the ellipse. Graph the equation. center at (3,-2); vertex at (8,-2); focus at…

A: We need to find equation of ellipse.

Q: Calculate Sc 2xyds, where C is the arc of x²+²=4 from the point (2,0) to the point (1,√3)

A: We know that ∫C f(x,y) ds=∫ab f( x(t), y(t) ) dxdt2+dydt2 dt

Q: Use an appropriate test to determine whether the series converges. 2(k!)4 9(4k)! Σ k=1 By the this…

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Q: Evaluate the integral. (41) ² (1 + 1)² dx

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Q: Find the function represented by the following series and find the interval of convergence of the…

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Q: Consider the function f(x) = 2x² - 2x +3, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: Use the graph to solve the such a problem to find the absolute extrema.

Q: =ind. SE S 25453

A: Let's find inverse laplace of given function.

Q: Consider the function f(x) whose second derivative is f''(x) = 8x + 6 sin(x). If f(0) = 2 and f'(0)…

A: Given  f''(x) = 8x+6 sin(x),  f(0)=2,  f'(0)=4 We have to find the value of f(3).

Q: B- Let r(t) = (²+2) i + (3t) j .Find (t) such that r(t) parallel to r'(t).

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Q: 6.What do you call the properties of vector when their cross product or dot product is equal to…

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Q: the following equation to Cartesian coordinates. Describe the resulting curve. r= 6 cos 0+4 sin 0…

A: This question can be solved using the concept of relation between cartesian and polar coordinates.

Q: we can write the given function as: x(t) = 3 + 4 cos (20nt + ) 2 sin (60nt -)-4 cos (70nt – π) As we…

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Q: Evaluate th

A: The given integral is 2 , limit from 3 to 7.

Q: ← Evaluate the following integral. S z+2 z(z²+25) Can partial fraction decomposition be used to…

A: Here we have to find the integral.

Q: Consider the following function and point. x + 5 X-5 (6, 11) (a) Find the derivative of the…

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Q: Find the derivative of the function by the limit process. g(t)= t3+5t St g'(t) = Submit Answer

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Q: (exhum, &) f(x)=- 4. Determine where x²+2 is concave up and concave down! x2-xEV A) Concave down on…

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Q: Write 0.12 as a fraction. Use the concepts in section 10.3

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