Find the domain of the function in interval notation  g(x)= x/ x^2-49

Q: It is a fact that the function  f(x) =    25x2 + x − 5x  has a limiting value. Use a table of…

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Q: Solve the following equation on the interval 0 ≤0<2T. cos ²0- - sin ²0= sin 0+1 Select the correct…

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Q: 4. Determine whether each series is convergent or divergent. If it is convergent, find its sum. 2) Σ…

A: The given series, a) ∑n=1∞3n-12n+1b) ∑n=1∞sin1nc) ∑n=0∞2n+15n

Q: Evaluate the indefinite integral: [ 10 10e¹x cos(2x) dx

A: We will use simple Integration rules to solve this question.

Q: 1. Find the volume generated by revolving about x=1, the area bounded by y = (x²-₁)² and the x-axis.…

A: We have to find the volume generated by the given function.

Q: Determine the explicit formula for the n-th term of the sequence written below. Note that the first…

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

Q: The velocity of an airplane flying into a headwind is given by v(t) = 30 (25-t²) mi/hr for Osts3 hr.…

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

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Q: 5. The height of a chair on a Ferris wheel is described by the function h(t) 15cos(t − 4) + 18 where…

A: Let's find possible height of ferris wheel.

Q: Evaluate the indefinite integral: S √4x + 9 dx

A: Given.

Q: 400 - e 1 2x dx= dx, x < In 20 2x 400-e (Type an exact answer.)

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Q: Given the g(x) function, what is the best estimate for the instantaneous rate of change at x=3? g(x)…

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Q: £f*. S: z = 18, x² + y² ≤ 1 Evaluate (x - 2y + z) ds.

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Q: Consider the Gompertz equation, a modification for logistic growth, which is often used for modeling…

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Q: Let F be the function below. If you are having a hard time seeing the picture clearly, click on the…

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Q: 6. a) Determine whether each series is convergent or divergent. Carefully explain your reasoning.…

A: Given       ∑n=1∞1+3n1+4.3n                         let  an =1+3n1+4.3n…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: answer is in next step.

Q: ow do you find the 70th derivative of f(x)=cos(x)

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Q: Let f(x)= x - 25 (a) Calculate f(x) for each value of x in the following table. (b) Make a…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3x²+2 0 2x²+4x+3 Sort dx

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Q: Determine the area bounded by x2= 4y and y= A B C D E 4 π-- sq. u. 3 2A- - 4 3 sq. u. -- sq. u. 133…

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Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

Q: A curve is defined implicitly by the equation x² + 3xy + y² = 1 Differentiate implicitly to find dy…

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Q: 5″ Use the limit comparison test to determine whether the series converges or diverges.

A: We have to check  the seris convergence or divergence

Q: 29. a) 5) The displacement of a particle is given by the equation s = 1³-152² + 63t, where s is…

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Q: 3x2+2 0 2x²+4x+3 So dx

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Q: A region bounded by f(y) = 2y – 2, y = 3, and x = 0 is shown below. Find the volume of the solid…

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Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y 2 N The function is…

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Q: 1. | 37 2 T 2 cos² 4x dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 30. A toy missile is fired straight up into the air having a height of h(t) = 45t-15f² metres after…

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Q: 2 3. Prove: sinx + sinxcot x = cscx.

A: I have stated the used formulas in the solution

Q: The original question did not put it right. it was (5overx) 5/x If  f(x) = 3x + 4 and g(x) =5/x

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Q: Find the complete solution of ey sin x dy cos²x = 0 dx

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Q: Find f'(x) and f'(c). f(x) = (x5 + 5x)(3x5 + 5x - 2), c = 0 f'(x) = f'(c) =

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Q: The graph of the derivative f' of a function f is shown. y = f'(x) y. 0 2 4 6 X

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Q: 1. Using a compound angle formula, demonstrate that sin is equivalent to 2π 3 sin π 3

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Q: 2. π 2 cot x d

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Q: Draw the directional field for the differential equation. y' = y2 − 1   What can you say about the…

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Q: Question 3 Given the following, complete the questions below: A= B= 2 a. Perform the transposition…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: dw A goat that weighs 6 pounds at birth gains weight at the rate dt (a) Find the particular solution…

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Q: 5). Consider the Gompertz equation, a modification for logistic growth, which is often used for…

A: we have to draw the directional field.

Q: Determine if the Integral Test can be used for the given series. 1 in= √4n+1 a) The Integral Test…

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Q: Determine the area bounded by y²=x+1 and y=1-x

A: Solution of given question is written in below steps.

Q: The equation r(t) = (t + 7) i + (√3t) j+ (3t²) k is the position of a particle in space at time t.…

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Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay 6 G Type…

A: Standard form of an ellipse : (x-h)2a2+(y-k)2b2=1 ; where , (h,k) is the center and a&gt;b .

Q: A region bounded by fly) = 2y, y = 1, y = 3, and x = 1 is shown below. Find the volume of the solid…

A: The objective of the question is evaluate the volume of the given region.

Q: Please TYPE this out.  I do not want it handwritten.

A: The given function is y=xx4+4

Q: Consider the function f(x) = 12x5 + 15x¹ - 240x³ +2. f(x) has inflection points at (reading from…

A: Consider the function fx=12x5+15x4-240x3+2.fx has inflection points at reading from the left to…

Q: Evaluate: L Blank 1 5 {}} 5 Blank 1 Add your answer

A: As we know from the inverse Laplace property; L-1a·fs=a·L-1fs  ; where a is constant And…

Q: Find the second derivative y=lnx + 3 sin(4x) d²y dx² of

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