Find the area of the region bounded by: r 98 cos 20

Q: Find the smallest value of x for which the series Σ (x+101)" 2ln(n) n=2 is conditionally convergent.

A:

Q: 439) Use the matrix capabilities of a graphing utility to solvecif possible) the systems of linedr…

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8

A: Given,            rt=t2-8i+tj ; t=8To find : Tt and Nt at the given point.We know that,…

Q: In this problem, please evaluate the trig functions without a calculator and do not use a decimal…

A: Equation of a tangent line of y=f(x) at (x1,y1) is given by, y-y1= [dy/dx]at x=x1 (x-x1)

Q: Q2 Obtain the general solution for the following differential equation. b) y" – 4y' + 3y = 3e2x +…

A:

Q: S=sin(In x) dx

A: To evaluate the given integral.

Q: 2. A triangle is inscribed in an ellipse whose equation is 9x? + 16y? - 216x- 320y+ 2320 = 0. One…

A:

Q: Q4) Find for the following functions (- dx Зх +4 %3D 2x+3 6. y = tan-1 V4x3 - 3 %3D

A:

Q: Find Inz3 dz

A: LetI=∫lnz3zdzLet z3=udifferentiate 3z2dz=duDivide 3z2 on both sidedz=du3z2dz=du3z2Divide z oboth…

Q: Using "Numerical Differentiation (Forward Finite Difference)" Problem Solving f(x) = 2sinx - x3ex…

A: Given that the function is fx=2sinx-x3ex with h=0.002. It is required to find f'2 and f''2. The…

Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t < v2 In 5 NOTE: Enter the exact…

A:

Q: 2. Given f(x) = x' + ax² + bx has critical numbers at x=1 and x=3, find a and b. .2

A:

Q: Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: Given that,  r1(t)=6t i+9t2 j+5t3 k,  r2(t)=t4k

Q: 0. xe-4x dx 1 dx x(ln x)3 4

A:

Q: Suppose we are given an integral of the form f f(g(x)) · g'(x) dx. We can transform this into…

A: The objective of the question is choose the correct option.

Q: 7 5 5. sec '(In t) tan° (In t) dt t

A:

Q: If 10% of a radioactive substance disintegrates in 4 days, what is its half-life

A: Follow the procedure given below.

Q: Find S(sin20cose + cos30)d0

A:

Q: dx Va - x2 we may use x= and dx= substitutions to reduce the integral to San do. This step requires…

A: To complete the following statements.∫dxa2-x2we may use x=? and dx=?substitutions to reduce the…

Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i - 7j+ k) i+ i j+ i

A:

Q: Evaluate the integral. HINT: [Use a shortcut.] e 8x - 1 dx

A: Using substitution ,

Q: The discontinuities of the function f(x) =D 4x-9 are: x²-2x-15 Select one: O 5,3 -5, -3 -5,3 O 5,-3

A:

Q: A piece of cardboard measuring 11 inches by 9 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 9 inches.

Q: Find an equation of the tangent to the curve at the given point. x = 8 sin(t), y = t2 +t, (0, 0)…

A: The given curve,x=8 sin(t), y=t2+t at (0,0)

Q: Find the volume generated by revolving the area bounded by parabolas y? = x and y = x² about x = -1.…

A: Given region is bounded by paraboal y2=x  and x2=y

Q: 3. Find the general solution of the differential equation. y"-6y' +13y = 0.

A:

Q: 1. メーメー2 xペー5x+6

A:

Q: e consider the non-homogeneous problem y" +4y =-32(3x + 2) First we consider the homogeneous problem…

A: We need to solve IVP.

Q: 3. Sx Vx? – 4dx 4. S(2 – sin 4r) dr 5. S cos x sin? x dx

A: LetI=∫xx2-43dxPut x2-4=udifferentiate 2xdx=duxdx=du2I=∫xx2-43dx.I=∫u32duTake the constant out:…

Q: Conjecture a formula for f'(a) that depends only on the value a. That is, in the same way that we…

A: Given that, fx=4x-x2 We need to compute the value of f'a.

Q: Evaluate: S(4sin (x) – 3sec? (x)) dx

A: ∫ 4sinx-3sec2xdx=∫ 4sinxdx-∫ 3sec2xdx=-4cosx-3tanxAdd a constant to the solution=-4cosx-3tanx+C

Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

A:

Q: Let й —, i = where A and B are some constants. Given that ủ + 40 = find the value of the product…

A:

Q: f(x)=x-4/x^2+2x+17 What monomial expression best estimates the behavior of x-4 as x→± ∞ ?…

A: Given problem:- f(x)=(x-4) /(x2 +2x+17)    What monomial expression best estimates the behavior of…

Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

A: We can solve this as follows:

Q: A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

A: Explanation of the answer is as follows

Q: z = 0, y = 1, у %3D1, z = x² + y? y = x².

A:

Q: 1 Find Vf if f = 2 /x²+y² +z?

A:

Q: Evaluate the integral. (Assume a * b. Remember to use absolute values where appropriate. Use C for…

A:

Q: A cup of hot coffee is placed in a cold room. The temperature (in degrees Fahrenheit) of the coffee…

A:

Q: .3 dx

A:

Q: 4. sec 4x tan 4x dx

A:

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) = 0…

A: Solving

Q: Consider the polar curves C2 :r = 4 cos 0 and C3 : r = 4 sin 0. %3D (a) Determine the slope of the…

A: C2: r=4cosθ       red colorC3: r=4sinθ        green color

Q: - Ose the tranfiorms from the "Table of Lapiace Transformso fnd the Lpce of the function below. You…

A: Given problem:- Find the laplace transformation of f(t) =(1+t)3

Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t*|dt (25;² + 1) – 1 3j2

A: The given integral,                        ∫05ti+t2jdt

Q: Obtain the general solution for the following differential equation. (a) y" – (a + ß)y' + aßy = 0 (a…

A: To solve the higher order differential equation.

Q: Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t= 2 T(2) = N(2) =

A:

Q: at x = 2 for the function below. dx Evaluate y = - 5u? + 4u + 9, where u = 9x2 – 2x + 4 Answer…

A:

Q: Let u= and v=. If uX v= then determine the value of 3A+B+C. Answer:

A: