tan z If f(x) = then f'(x) is ? z² – 1) soc? z (z² – 1)° O (2? - 1) sec²(x) æ – 2 (tan(æ)) 2z tan z (z - 1) 1) soc® (x) z– 2(tan(x)) (z* – 1)° (zª

Q: Determine the maximum curvature for the graph of f(x) = 5 In (x). The maximum curvature is at x =

A:

Q: Use the graph to find the following limits and function value for each value of a. i) lim f(x) i)…

A: Given query is to find indicated limits.

Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: kt Convert the equation f(t) = 310(1.13)' to the form f(t) =

A: answer is in next step

Q: 1. Disk Method a. y = x2,x = 0, x = 2, y = 0, about the x ахis а.

A:

Q: ** Solve the following problem by setting up a linear system (remember to describe your variables)…

A: T=touchdown    6 pointsF=Field goals   3 pointsE= Extra points  1…

Q: Find the volUme OF the solid obtained by rotating about the y-axis the region boUnded by y= x° the…

A: Follow the procedure given below.

Q: If va + Vỹ = 12 and y(4) 100, find y' (4) by implicit differentiation.

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Q: Given the geometric sequence 33, 44/5, 176/75 find an explicit formula for an and find a12 please…

A: Given GP is 33,44/5,176/75 We have to find the explicit formula for an and then have to find a12.

Q: r(10,3,3) dx (1,1,1) dy dz. - -

A:

Q: Find the limit. lim x--s+ (x + 5)2

A: The given limit,limx→-5+1x+52

Q: Find the vo lume oF the solid OF revolution when the regiON bounded by y = x +1, the solid X-axis,…

A: Given problem:- Find the volume of the solid of revolution when the region bounded by y = x + 1 the…

Q: 4. How much should be deposited in an account paying 7.5% interest compounded quarterly in order to…

A: Compound interest

Q: Let -1 <a < 1, the series r na" is the power series representation of the n-1 function Select one:…

A:

Q: Let V be the volume of a pyramid of height 15 whose base is a square of side 5. 5

A: Solution: we can find a similar triangle to determine the length L of the square cross-section at…

Q: 10. The graph of a function is given below. Determine the intervals on which the function is concave…

A: We know that,

Q: Differentiate the function. 2 + g(t) = In t(t? + 1)4 V8t – 1 g'(t) =

A:

Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: Topic:   Linear Equation problem Here is the answer

Q: Sketch the region enclosed by 2y = 5/a, y = 4, and 2y + 2æ = 7. Decide whether to integrate with…

A:

Q: Let R be the region of the 1st quadrant enclosed by x=y^2 , x=2-y^2 ,y=0 . 1.1 Draw an area R.…

A: Given that;  x = y^2   and x = 2 - y^2       Let's find area between two curve in 1st quadrant.

Q: 1. A line passes through the points A(2, 3) and B(-2, 1). Find a vector equation of the line. [x, y]…

A:

Q: Use the method of substitution to find the indefinite integral. Check your result by…

A:

Q: Find the following for the vectors u = 6i + 3j + /2k and v = - 6i – 3j – /2k. a. v•u, Įv], and Ju|…

A: We will solve the problem on vector dot product and projection.

Q: 9. (2xy – sec?x)dx + (x² + 2y)dy = 0 10. (x + 3x³ sin y)dx + (x* cos y)dy = 0

A:

Q: Find each function value and limit. Use -∞ or co where appropriate. 7x* - 14x2 f(x) = 8x° +4 (A) f(-…

A: topic- functions and limits

Q: 7. Find f(x) given: 2 f" (x) = 48x 6x + 1 and f (0) = 1 and f (0) = 2 %3D

A:

Q: y=4x-x², y=x

A:

Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: To find the limit.

Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = VT. Find the…

A:

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

A:

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A:

Q: Determine whether the function shown is continuous over the interval (-6,6). Is the given function…

A: Solve the following

Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + 4y° 3 242 at the point (- 1, 4).

A: Solve the following

Q: 1. Determine the exact value(s) of k for which the planes x– 2y + kz + 7= 0 and x– 2y – 2 = 0 have…

A: Note: According to our answering guidelines we have to answer only one question if multiple…

Q: Evaluate the given imit 1. lim (x-1)? 2 メ→! In x 2. lim 3X - 2 × 3. lim (4x+1) ot x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

A:

Q: Decide from the graph whether a limit exists If a limit exists, find its value. lim F(x) X→1 What is…

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Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

A:

Q: Find T, N, and k for the space curve, where t> 0. r(t) = (2 cos t+ 2t sin t)i + (2 sint- 2t cos t)j…

A:

Q: A tire swing attached to a tree branch swings with an arc length of 40 feet on its first swing. On…

A: Question- A tire swing attached to a tree branch swings with an arc length of 40 feet on its first…

Q: Find a unit vector that has the same direction as 8i - j+ 4k. Write the numerical coetficient in…

A:

Q: scientific

A: We will find the 28th term

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: Here we have to use the concept of derivatives.

Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

A:

Q: Σ Preview i=1

A: We will use sigma notation.

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = ( - t+ 4)i +…

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Q: Find the Taylor series of  f(x)=ln(2+x) around the point x=-1 by reaching the term n=4

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=x² and…

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Q: 2. lim 3X - 2*

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Q: The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s –…

A: