Let f(x) Calculate lim I-3- lim I→-3+ lim → 3 1 I +3 if x < - 3 = 3x + 12 if x > 3 - the following limits. Enter "DNE" if the limit does not exist. f(x) = f(x) = = f(x)

Q: ·S. Given : dx. If we let the substitution =√√√4x-5, the resulting integral becomes 4x-3 (2u²+11) ^…

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Q: Q1: Find the third Maclaurin polynomial to f(x) = sinx

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Q: Determine the angles made by the vector V-(-19)i + (-41) with the positive x- and y-axes. Write the…

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Q: Find the Differential equation Ⓒ (y + x²) dx = x dy

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: HOMEWORK 16: Graph the following equations. 6. r = sin + 2cos² 0 7. r² = sin 20 - 3cos

A: we have to graph the given polar coordinates. let r is on x axis and theta on y axis.

Q: Find the derivative of O2 sec 2x O 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

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Q: Q2: A. Determine if p = ï-3k and q = 61 - 3j-4k are parallel, orthogonal or neither. B. Find the…

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Q: 3. 4. If = (-12, 4, 8) the position vector of u is...........

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Q: Find y" 13. y = x²sin (3x)

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Q: H.W : Prave the orthogonality. Conditions for the Sine and casine functions....

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Q: Find the area bounded by the curve r = 2-cos 8.

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Q: how would I find the domain of the vector function r(t)=cos(t)i+ln(t)j+1/(t-4)k?

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Q: Can u do 6 and 7 . I will rate you thank you

A: step 2 complete solution

Q: A given partial fraction B can be evaluated as: A) 7/35 B) 8/85 6/23 D) 13/85 2x (x-1)(x+4) (x²+1) A…

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Q: Derive the formula for trapezoidal Rule to evaluate f f(x) dx

A: The trapezoidal rule is to find the exact value of a definite integral using a numerical method.

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A: Basic identities of integration are used

Q: A region is bounded by the y=x² and y=6x-x² Which of the following integrals would approximate the…

A: We can solve this as follows:

Q: An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the…

A: We have to find the angle and speed of the plane.

Q: 5. Find the equation for the sphere whose center is at (-1, 1/12-13) and radius is

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Q: Find the centroid of the region bounded by the semicircle y = √a² -C O (0,5/4a) O (0,4a) O (0, a)…

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Q: 3. Carry out the following mathematical operations and report your final answer in the correct…

A: The objective is to solve the mathematical expressions.

Q: ?T f(t)=√ t` cosnt dt ((나) ans = 4 12 The easiest way to solve the integral so that the result is as…

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Q: Solve the D.E XỲ+Y=- 1 y2

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Q: Find the radius of convergence, R, of the series. 00 (x-4)" n+1 n = 0 R = 1 Find the interval, I, of…

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Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] fox)…

A: We have to solve and draw the graph.

Q: 3 Safin designed and launched an app. One week after he launched the app, it had 8 400 users. Four…

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Q: Find the area of the surface generated by revolving the arc 9y = x³ the x-axis. O 9/35 O 147/5…

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Q: Rewrite the polar equation r = = 6 sin(0) as a Cartesian equation.

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: To find the absolute maximum and minimum values of the given function: fθ=sin θ; -11π6≤θ≤-π2 Here,…

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: We can solve the given question as below.

Q: s={ 3112 4'2'3'9' =(5, 5.5, 6, 6.5, 7, 7.5,...} = {√2,2√2,3√2, 4√2,...} ={√2,2,2√2,4,...}

A: Topic:- sequence and series

Q: For what values of p does the series p<3 n = 2 1 (n² In(n)) converge? (Enter your answer using…

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Q: s Given : 1 value of AB 3 A 72 40 8x + 1 20 3 280 3 4x - 3 dx. If we let the substitution" = 4x-5 ,…

A: To find out the required answer.

Q: = 3. Let R be the region bounded by y = √x and y 2. Find the volume of the solid generated when R is…

A: Washer Method : Suppose that the f(x) and g(x) are continuous and non-negative function on a,b and…

Q: Q2: test if (AB)¹ = B¹A¹ A = 4 1 4 -3 61-63 0 2 B = 0 2 L3 5.

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Q: Problem 7 x√x + 1 dx

A: Given ∫07xx+13dx

Q: M Gmail ▸ YouTube Maps Google Homework Help On... Ciudades inteligent... ¿Qué es Ingeniería I...…

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Q: Evaluate fxsin zdz. 00 01

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Q: Suppose f'(2)=6 and g'(2) = 9. Find h' (2) where h(x) = 4f(x) + 3g(x) + 6. h'(2)=

A: Topic = Derivative

Q: X -dx 3. Using a suitable change of variables, determine the indefinite integral: √1 x² [ (sin² x)…

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Q: 7. Evaluate the volume generated by revolving the area bounded by the given curves using the hollow…

A: The given curves are x=4y-y2, y=x.   Now find the point of intersection between the curves…

Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2et…

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Q: 4. y = = csc 1+2x) cot(1-2x)

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Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

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Q: and A solid is generated by rotating a plane region that is bounded by the curves y = 2² = y about…

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Q: [e²y ycos (xy)] dx + [2xe²y XCOS (xy) + 2y] dy = 0

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Q: 1. Set up the integral (but do not evaluate) to find the volume of the solid obtained by rotating…

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Q: 11. y = tan e³x + etan3x

A: We can find y' as below.

Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: What is the particular I solution of the differential equation (2x + y²) dx + 2xydy = 0 when x = 1…

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