∞ Σ7(-0.8) is an alternating geometric series, which k=0 diverges converges. Σ7(-0.8) k - k=0 Enter DNE for "does not exist" if the series diverges.

Q: Write the domain of the function f. 6 f(x) = 12x³ + X

A:

Q: 2. Isolate x. For answer, show X on left side x 2 3X-6 ≥ 2x + ] 1 داده 2x > 2x + 7 3 2x > 6x + 21…

A:

Q: If lim f(x) = 4 →2 then compute the exact value of x + f(x) lim x→2 Enter your answer as a decimal…

A: The Root Law:The Sum Law:

Q: Find the general solution for y-sy+2y=10 Sin x + 1

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: SYSTEM: x + y + z = 6 2x - y + z = 3 3x z = 0 -

A:

Q: Solve the second order. 1. eq Y Ý + Y

A: The given differential equation is

Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of…

A: The populations of Towns A, B, and C vary exponentially with respect to time.1.The population of…

Q: 2. Consider 1, 0.1, 0.01, 0.001, 0.0001, ... (a) Write out the next three terms of this sequence.…

A:

Q: Find the absolute maximum and absolute minimum of the following function on the given interval. 1…

A:

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

A: Given equation is : x=-8Concept : To convert an equation into polar form, we substitute x = r cos…

Q: Let f(v) = v +17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: Given,

Q: Form a polynomial whose real zeros and degree are given. Zeros: -4,0,3; degree: 3

A: Form a polynomial whose real zeros and degree are given.Zeros: -4,0,3; degree: 3

Q: Recall that a sequence is a list of numbers while a series is a summation of numbers. 1. Let an = n…

A:

Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges…

A: Sum =∑n=1∞(9n−9n+1)

Q: Find the volume of the region under the surface z = xy² and above the area bounded by x = y² and x +…

A:

Q: The vectors (8, 12, 16) and (6, -9, 12). are parallel. Select one: O True O False -

A:

Q: Use the properties of logarithms to expand the logarithmic expression. In (34) 94

A: By using the properties of logarithmic functions to expand the expression is     ln(x/94)

Q: Consider h(z): 2 5 - Oh is concave down on: Oh is concave down nowhere. 1 2 Determine the intervals…

A: Consider the function To determine the intervals on which  is concave up and concave down.To…

Q: Find the outward flux of the field F= 8xyi + 8yzj + 8xzk across the surface of the cube cut from the…

A:

Q: 2. (y +y²)dx - (y²- 2xy+x)dy = 0

A:

Q: The equation has an unbounded solution. y′′ + 4y = sin x true or

A:

Q: Use spherical coordinates. Evaluate JJJ y²z² dv, where E lies above the cone 4 = 1/3 and below the…

A: G

Q: X 3. Verify that f(x)=- satisfies the conditions of the Mean Value Theorem on the closed interval…

A:

Q: Find form. (x + y) dydx. Write your answer in exact từ da l 2 6 6

A:

Q: Evaluate the following integral. 36 2 x - 36 36 x²-36 2 dx= dx

A:

Q: y-values 9 8- 7 6 5- * 3 2 1 If f(x) f'(3) = g(x) 1 g(x) h(x) > 2 3 x-values then 4 y-values 4 3 2 1…

A:

Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

A:

Q: Use the sum and difference formulas to prove the following identities: 1. sin(x - 1) = sin x 2.…

A: 1.sin⁡(x−π)=−sin⁡x

Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√√y+3 (b) Evaluate the limit -8xy lim…

A:

Q: g(t) = sin (Int) f(x) = ln(sin x)

A: g(t)=sin⁡(ln⁡t)

Q: Consider the equation below. f(x) = 4x³ + 9x² - 54x + 1 (a) Find the intervals on which f is…

A: In this question, we will find the interval of increasing and decreasing.

Q: If f(t) = (t² + 3t+2) (5t² + 4), find f'(t). 201³ + 45t² + 32t Find f'(2). 40 X

A:

Q: Find the first and second derivatives of the following. 1-4√√x+x³ (a) y = (b) y = 3x²e² Y (c) y = x³…

A:

Q: Verify the following identities: 1. tan y csc y 2. 3. tan x sec x = sec y cos y sin x cot x sec x…

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: List the four smallest elements of the set. (Enter your answers as a comma-separated list.) {y|y =…

A: {y|y = x2 − 3, x  integers}

Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t), -t, -4sin(3t)] when t = 0. (b)…

A:

Q: Use a graphing calculator or computer to verify the given linear approximation at a = 0. Then…

A: The given function is

Q: What is the minimum degree of the polynomial function whose graph approximates each given graph?…

A: Consider the graph

Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O-4 and 2…

A:

Q: Consider the following. x = e-5t, y = e5t (a) Eliminate the parameter to find a Cartesian equation…

A: Consider the following.To eliminate the parameter to find a Cartesian equation of the curve.

Q: find maximum rate of change of f(x,y)=x sin(y) @ the point (2,0)

A: To find the maximum rate of change of at the point .

Q: True or false: If f is a function such that lim f(x) = L and x→a+ lim f(x) = L x-a where a and I are…

A: For a Function f( x ) at If Function is continuous at  then

Q: 6x Find the limits in a), b), and c) below for the function f(x) = - X-5 Use -∞ and ∞o when…

A: given limit to find

Q: 1. Consider the ellipse given by x(t) = 9 cost and y(t) = 81 sint for 0 ≤ t ≤ 2π (a) Make a sketch…

A: The given equation of  eillipse is for

Q: Solve the given differential equation by undetermined coefficients. 100x² - 91xe* y(x) = = . y" -…

A:

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A:

Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

A:

Q: Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

A: