12) Find the n-th term of the Sequence 12,8,4,0,-4,-8,..

Q: 5. Given y- ir,1 Find when 1if f(2) =4 and f(2) - 5.

A: Differentiate y with respect to x using chain rule.

Q: 5y² = 2x³ – 5y

A: Derivative with respect to x

Q: 5. u = 2i, v = -3j

A:

Q: How do I calculate sec^-1 (1)?

A: Domain of sec-1(x) is (-∞,-1] ∪[1,∞) and Range is [0,π2) ∪(π2 ,π].

Q: Write 32/3 as an integral

A:

Q: Determine the convergence or divergence of the series. n = 8 converges diverges

A: Given query is to find series converges or diverges.

Q: Given that the graph of f(x) passes through the point (4, 5) and that the slope of its tangent line…

A:

Q: Test the series for convergence or divergence using the Alternating Series Test. 00 (-1)" 3n + 1 n =…

A:

Q: * Find the 2nd degree Taylor polynomial for the function f (x)=- 1 centered at x = -2.

A:

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The area is bounded by the curves:y=25-x2 ; x axis ; x=-5 and x=5

Q: A ladder 10 m long is leaning against a vertical wall. If the bottom of the ladder is pushed…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3z F(x) = | cos (t°) dt.…

A:

Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

A:

Q: can you check up the answer? it is not right

A: I have rechecked the work using calculator. It is correct.  Using calculator I have got: limn→∞…

Q: Find y' if y= 2x + Vx*-9xr+3.

A: We can find y' in the following steps.

Q: sinx, x<0 x², 2-x, 1sx<2 |x- 3, x22 Osx<1 15. Let f be the function defined by the following. f(x) =…

A:

Q: リ=ー"-4), find a) The x-intercept and the y-intercept b) The interval where the function is…

A:

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A: Given query is to find series converges or diverges.

Q: Find the Taylor polynomial of order 3 generated by x at a. 1 f(x) -, a = 0 x+6

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

A: Area of the region bounded by the curves :      If f(x) and g(x) are two continuous function on a,b…

Q: Problem 5 Part 1: Consider a cost function where C(x) in Philippine peso is the total cost of an…

A:

Q: Find the volume of the solid that results when the region bounded by y = Vā ,y = 0 and æ = 4 is…

A: Volume

Q: Use the method of cylindrical shells to find the volume of the solid generated by revolving the…

A: We have to find the volume of the given solid.

Q: Which of the following integrals represents the volume of the solid obtained by rotating the region…

A: Draw the diagram and use the washer method of finding volume of rotation.

Q: 3. Find the point(s) on the graph of the curve fle)-+3+ where the tangent is horizontal.

A: To find the points on the graph of the curve fx=x33+3x+4x, where the tangent is horizontal.

Q: Find the area bounded by tHe curves y=8x-x and y= 3x

A:

Q: Find the Maclaurin series for the given function f(x) = e-6x

A: The maclaurin series is: f(x)=e-6x     ,    f(0)=1f'(x)=-6e-6x     ,    f'(0)=-6(1)=-6f''(x)=36e-6x…

Q: Solve for y in the following system of equations: x – y = -7 2x + y = -17 -8 О -1 O -3 O O

A:

Q: Please answer all steps, thank you!!! Correctly, and make it clear

A: According to our guidelines we can solve first four question  solution:-(a) ∫02f(x)dx=Algebric…

Q: and the net is decribed by the equation y = V1 – x2 – z2, y 2 0,

A:

Q: Find the area of the region bounded by y = 34(x + 2), x = 2 and the x-axis. %3D Answer:

A: Given query is to find the area under the curve.

Q: Given the function graphed below, evaluate the definite integrals. 4 3. -1 1 2 3 5 -1 -2 -3 -4 1 |…

A: We have to find the value of the integrals.

Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: Use a graph to determine whether the given function is continuous on its domain. H Sx + 2 if x < 0…

A: Given query is to find function is continuous not.

Q: 10 Evaluate the summation i. i=1 55 10 1

A:

Q: Use the integral test to determine whether the series converges. Σ 4n - 1 n=1 converges diverges

A:

Q: 25 18 f(x)dx f(2)dæ = / f(x)dx - 10 where a = and b =

A:

Q: Letf(x) = x+3x -9x-13 (a) Find the intervals where J(x) id increasing and decreasing; (b) Find the…

A:

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

A:

Q: can i see how you get 95.33?

A: Apologies for the inconvenience.   The given function is:  fx=3lnx5fx=3×5lnxfx=15lnx   Given that…

Q: If f(x) = | ( + 2t² + 2)dt then = (x),,f

A: f(x)=∫0xt3+2t2+2dt

Q: -1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

A: Given  f(x)=(3sinx+4cosx)tan-1xTo find f'(x):

Q: 3 If f(2) - 8, and f'(2) 4 - 1 Let f'(x) be the inverse function of f(x). (f-1)'( - 8) = - 1 Write…

A:

Q: Evaluate csc2 3z dr cot 3r O 6cot 3xcsc3x + c O cot 3x + c Ocot 23xcsc3a + c cot 23x +c

A: Indefinite integration

Q: 49 x dx -7

A: answer is in next step

Q: S(e3t + e-3t)2 dt

A: To evaluate the value of given integral.

Q: (b) А — В (с) 2A (d) 2A – 5B

A:

Q: A particle is moving with acceleration = 6t + 12. its position at time t = 0 is a(t) s(0) = 5 and…

A: First use the integration to find the velocity then again integrate to get the position function.

Q: 2x³+2x+7x²+9 2x+3 6- 2.

A:

Q: (425 + 62?)dx Find -2

A: