series for fab=e* Problem 1 Find a Tay lor show your centred at C= -3. the defai led work neatly and nedtly style of the lecture notes 1for full orfll in

Q: Factor the difference of two squares. 36x2 - 49

A: Formula for the factor of the difference of two squares: a2 - b2 = (a - b)(a + b)

Q: Find the derivative of cos (ry) = -4x° y? + 5 using implicit differentiation.

A:

Q: We found that the estimated rate of increase in the cost when x = 60,000 is $438 per game system. We...

A: We plug x= 60000 and 60001 in C(x) and simplify them. C(60,000)=900,000 + 390(60,000) + 0.0004(60,00...

Q: can you help me please

A:

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (5...

A:

Q: 1 Use the binomial series to find a Taylor polynomial of degree 3 for VI+ 2.5x T3(x) = Preview Previ...

A:

Q: Differentiate. f(x) 8 – xex x + eX

A:

Q: Part a

A:

Q: Evaluate the integral ∫e2xcoshxdx.

A:

Q: A bag contains 6 white and 4 black balls . two balls are drawn at random. find the probability that ...

A:

Q: Given the equations, y = 1 + √x, x = -8, x = 8, and y = 0, answer the following question: a. Write t...

A: y = 1 + √x is not defined for negative values of x. Also the value of y = 1 + √x can't be 1 Hence, t...

Q: For the pair of supply and demand equations,where x represents the quantity demanded in units of a t...

A:

Q: please show all steps

A:

Q: Based on data from a research group, a model for the total stopping distance of a moving car in term...

A:

Q: 5. Use Desmos to sketch the region whose area is , V36 – x² on the provided coordinate plane. Then, ...

A:

Q: b) The rectangles in the graph below illustrate a ? Riemann sum for f(x) = 5 sin x on the interval [...

A:

Q: Function Interval [1,2] f(x) = -z +4 12 %3D

A: 83)

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative. ...

A:

Q: arctan(x) -dx%3D? 1 + x2

A:

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical...

A:

Q: A bee with velocity vector r' (t) starts out at (-4,0,5) at t = 0 and flies around for 5 seconds. Wh...

A:

Q: According to the function in image 1.1, we can say that its gradient vector at point (1,1,2) is (in ...

A:

Q: Please slove the image

A:

Q: Calculus Question

A:

Q: Attached.

A:

Q: For x>=0, show that 1 <= √1+x^3 <= 1+x^3. Explain the answer in detail.

A:

Q: In t years, the population of a certain city grows from 700,000 to a size P given by P(t) = 700,000 ...

A:

Q: Calculus Question

A:

Q: Suppose that $8,000 is invested into an account earning 6.8% interest compounded monthly. Estimate t...

A:

Q: find the intergral using appropriate subsitution

A: Substitute 1+x = t2 but don't change the limits and solve the integration.  

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse at the given poi...

A:

Q: Compute

A:

Q: can you help this question?

A:

Q: Find f '(x) and f "(x). f(x) = x'e* %3D ( x +7) X 6 f '(x) x + 7 f "(x) =

A:

Q: Part a

A:

Q: 8.

A:

Q: 1. Find f* dx by hand and show how to check the result is correct by differentiation.

A:

Q: 12 Find p, q if ,“ f(x) dx – 2' f(x) dx = [,' f(x) dx. (Give your answers as whole or exact numbers....

A:

Q: The rate of depreciation dV/dt of a machine is inversely proportional to the square of t+1, where V ...

A:

Q: 1

A:

Q: Find the absolute maximum and absolute minimumvalues of f on the given interval.   f(x) =2x3 - 3x2 -...

A:

Q: Suppose that f(5) = 1, f '(5) = 4, g(5) = -9, and g'(5) = 8. Find the following values. (a) (fg)'(5)...

A:

Q: Evaluate the integral. ∫ (x2 − 3x) dx ______________C+

A:

Q: In a recent survey of monetary donations made by college graduates, the following information was ob...

A:

Q: In Exercises 11 and 12, write the first five terms of the recursively defined sequence.

A:

Q: Factor perfect square trinomial. x2 + 2x + 1

A: Given equation:

Q: Solve the triangle using the Law of Sines. (Assume  b = 6,   ∠A = 40°,  and  ∠C = 120°.  Round the l...

A: Given We know that sum of all angles of triangle is 180 degrees.

Q: The median household income (adjusted for inflation) in Seattle grew from $42,500 in 1990 to $75,200...

A:

Q: can you help this question?

A:

Q: 11,12. Carefully graph the functions. Be sure to notice all important features such as maxima, mìnim...

A: Q-11. Given: First find the maxima and minima by differentiating the function and equate to zero. ...