8. Use vectors u = -3i - 3j, v = -li, and w = 5i + 6j %3D a. Determine the angle between u and w. a. Find (u+w) w 9. Verify the identity 2 sec' x 1-sin x 1+sin

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Taylor series for f(x) centered at x=a :     f(x) = ∑n=0∞ fn(a)n!(x-a)n

Q: Step 3 Apply the Fundamental Theorem of Calculus, which states that f(x) dx = F(b) - Fa). Use this…

A: We can complete step 4 by the cross multiplication method.

Q: Twenty-five

A: We will find the probability.

Q: Find f'(2).

A:

Q: Find the length of the curve. 8) The spiral = e20, 0 s 0 s Ti r

A:

Q: f(x)=x tan x с.

A:

Q: So ez dr. Write out the terms of the sum, but do not evaluate it: Sum = On another sketch, represent…

A:

Q: TUTOR %3D for the function

A: The given equation is: 4x2+x3y+y2=6...(1) To find the slope, that is dydx, at Q(-1,2)

Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

A: On solving this we will get

Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

A:

Q: S csc-2a(seca)-da

A:

Q: Which of the following differential equation has the same order and degree? [dy]6 + 5y = e* A. + 8…

A: See the answer below

Q: Problem 3. at a speed of 60 cm/s. Suppose the function g models the radius as a function of time t…

A:

Q: Find the limit: 4z4 – 4y4 lim (1,9) → (3,3) 4yª z² - y?

A: lim(x, y)→(3, 3) 4x4-4y4x2-y2

Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

A:

Q: 3. Find the binomial series for (1+x)

A: On demand Question third is answer

Q: integral

A: We will solve the definite integral.

Q: 1 dx X +x13

A:

Q: 4) Find all values in the interval [-27,27]at which the graph of f has a horizontal tangent line.…

A: topic- functions and derivatives

Q: Find the area of the triangle. Round to the nearest tenth. A 61° 13 mi 7.2 mi C В 14.3 mi? 12.6 mi?…

A: Given query is to find the area of the triangle.

Q: Evaluating Indefinite Integrals - Partial Fraction Decomposition Suppose we want to evaluate the…

A:

Q: Solve the equation on the interval 0s0<2x. 50 = 2 sec 50 What are the solutions to sec T=2 in the…

A:

Q: y y =x - 4 y =/2x + 8 4 6 10 x -2- -6+

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

Q: Let F(x) = f(x*) and G(x) = (f(x)). You also know that a' = 5, f(@) = 3, f'(a) = 13, f () = 1 Then…

A:

Q: Example:- Find the general solution of 1) xdy – ydx = 0 2) xcosh(y)dy – sinh (y) dx = 0 3)2dx –…

A: We need to find general solutions.

Q: Write the first four terms of {an}. n + 1 10) an 3n - 1

A:

Q: The value x = a is a critical number for f (x). Classify a as a local maximum, cal minimum or…

A: Given f(x) = x^3 -12x^2 Also given x=8 is critical point  now we have check at x=8 has maxima or…

Q: show

A: As per the guidelines we can solve 3 parts only.

Q: Determine the convergence or divergence of the series. (If you need to use co or -0o, enter INFINITY…

A: limn→∞ sech(n)=limn→∞ 2en+e-n=limn→∞ 2e∞+e-∞=limn→∞ 2∞+0=0limn→∞ sech(n)=0

Q: F(x) = dt Step 1 Rewrite the glven functlon F(x) D, -2 dt as F(x) =D -2t dt.

A:

Q: 15. Evaluate the following double integral. Si (xy* + x)dydx

A:

Q: Determine if the given series is absolutely convergent, conditionally convergent, or divergent. Show…

A:

Q: 17. The base of a triangle is increasing at a rate of 2in/min. If the altitude is always twice the…

A:

Q: Step 1 |an + 1 an + 1 n+ 1 1, or lim = 00, then n00 an Sa, diverges. For any fixed value of x such…

A:

Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

A:

Q: Find the limit. 421 (a) lim 7+ 17 (b) lim x-0 X 3

A: Topic = Limits

Q: In which limits below can we use L'Hospital's Rule? x – 2 lim 1→2 In(3 – æ) 1- et lim 2-0 sin(5x)…

A:

Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

A: We use circular ring method.

Q: Evaluate the limit using L'Hospital's rule 14* – 3" lim

A:

Q: EXAMPLE 1: Consider the graph of the function f given below. Using the given graph, determine if the…

A:

Q: Find the area of the specified region. 5) Inside the limacon r= 8 + 2 sin 0

A:

Q: 6. v(y) = In (y² – 8y – 1)

A:

Q: the comverg ence and divergene test 2n

A: To find the convergence of the series.

Q: Use series to approximate the definite integral I to within the indicated accuracy. 1/2 x arctan(x)…

A: We have to find the value of integral.

Q: 3 lim (1+ 4 x2

A: Given query is to find the limit of the expression m

Q: Given f"(x) = 7x – 3 and f'(-2) = -6 and f(-2) = 6. Find f(4) %3D |

A: Here we will find f(4),

Q: If the series converges, find its limit. (Leave your answer exact.) If the series diverges, simply…

A:

Q: (H.W) 1- Solve by choose M this time (2 x y² + 3 x² ) dx + (2 x² y + 4 y³ ) dy = 0 2- Find the…

A:

Q: (2, 4) y = 2x ng a vertical element of area, he area of the shased region is gven by the integral

A:

Q: Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1).…

A: We can solve as follows