Consider the sequence c= {3, –12, 48, – 192, 768, ..} - | a. What is the common ratio? b. What are the next five terms in the sequence?

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: (3.x (За — 1)" 5" Vn +1 n=1

A:

Q: Find the integral of sin^8 xdx from x = π/2 to x = 2π  a. 0.814 b. 1.289 c. 0.240 d. 0.365

A: We have to find  the integral of sin8 xdx from x = π/2 to x = 2π 

Q: For the demand function q= D(p) = 422- p, find the following. a) The elasticity b) The elasticity at...

A:

Q: Find the area of the region enclosed by the graphs of 1 1 =0, and x = 4 y = 0, x V1– 4x? - NOTE: Ent...

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 4j as a...

A:

Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 ...

Q: - y = V16 – x² and the x-axis about the x-axis

A:

Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following

Q: Find the solution of the initial value problem Please fill in a question quickly within a quarter of...

A:

Q: SOLUTION

A: We will perform the integration by parts. 

Q: Find an equation of the tangent(s) to the curve with paramnetric equations ¤ = 1+ VE, y = e" at the ...

A:

Q: Find the solution of the initial value problem Please fill in a question quickly within a quarter of...

A:

Q: 1) Parameterize the line segment running from (1, 2) to (3, 5).

A:

Q: C. Bernoulli's Equation 5. (y* – 2xy)dx + 3x²dy O when y(1) = 0

A: We have given a Bernoulli differential equation.

Q: SLx dxdy Evaluate the following double integrals by converting to polar coordinates.

A:

Q: Let F and G be vector-valued functions such that F(t) = (cos(nt), e²t-1, t² – 1), Ġ(1) = (1, 1, – 1)...

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact answe...

A: This question is based on dot product and mod of vector.

Q: Identify the vertices and foci of the hyperbola with equation x2 = 1 92 402 The vertices are The foc...

A: We will find the vertices and foci. 

Q: ch of the following sequences. Always justify your ans 1+ncos(2m) sin n+ c - In с) а, d) а, 2n 3 n°

A:

Q: What is the surface area generated by revolving the parabola y = x squred from x = 0 to x = square r...

A: Given problem:- What is the surface area generated by revolving the parabola y = x2 from x = 0 to x ...

Q: State the points of inflection for the graph of f(x) below. Explain how you know. 4 2 4 4 2 -4

A: Points of inflection is the point at Which doubled derivative is zero. 

Q: Find the area of the triangle with vertices P(1,3, –4), Q(0,0,0) ar R(4,6, 1). NOTE: Enter the exact...

A: Given: P=1,3,-4Q=0,0,0R=4,6,1

Q: Find for the following function. dx y=9 cos x sin x dy

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

Q: Find the derivative of the following function. P(x) = 6x p'(x)=D

A:

Q: An automotive engineer studied the effect of car weight in tons on fuel efficiency, which is measure...

A:

Q: State both forms of the Chain Rule for calculating the derivative of y = f(g(x)). State both forms o...

A:

Q: x2 + 2 dx x° + x •T/2 5. 3 6. t cos (t) dt

A:

Q: Se csc*(5x)cot*(5x)dx .4

A: u=5xdx=du5I=15∫ csc4u cot4u duI=15∫ cot4u csc2u (cot2u+1) ducot u =t-csc2u du=dtI=-15∫ t4t2+1 dt

Q: Use the preferential voting method to determine the winner and compare it to the single candidate vo...

A:

Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is. Round your answers to f...

A:

Q: Find the area of the triangle with its vertices on the points (5, 1), (1, 3) and (-1, -2) by means o...

A: On solving this we will get:- Option (D) -12 sq. Units is correct

Q: 13. A cylindrical can is to be made to hold 1.5 L of oil. Find the dimensions that will minimize the...

A: This is a problem related to maxima and minima of the function. Based on the general formula we will...

Q: Sketch the region bounded by the given curves, then find its area. x = y^2, x = y + 6

A: The graph is shown below in which the chex region represent the area.

Q: Pls help ASAP. Pls show all work and calculations

A:

Q: Find the volume of the solid generated the area in the Ist quadrant bounded by the curves y = 3x - x...

A:

Q: Question 12 Provide an appropriate answer. Find when r = 4 and s = 3 if w(x, y, z) = xz + y, x = 5 r...

A: We will put the values of x,y and z in w(x,y,z) to convert w in the terms of r .

Q: Give an example of a series Σn a_n that diverges but lim n->∞ a_n = 0

A: P-series Test : Consider the series           ∑n=1∞1np = 11p+12p+...(i) Series will converges if p&g...

Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A:

Q: Every year, Danielle Santos sells 29,880 cases of her Delicious Cookie Mix. It costs her $1 per year...

A:

Q: Sketch the region R of integration and switch the order of integration. 36 - x fx, у) dy dx y

A: Given problem:-

Q: A 500 gallon tank initially contains 50 gallons of brine solution in which 28 pounds of salt have be...

A:

Q: y = cot-1(4-3x2)

A: y=cot-1(4-3x2)differentiate w.r.t.xwe know that,ddx(cot-1x)=-1x2+1Therefore,dydx=-14-3x22+1ddx4-3x2d...

Q: dy Find for the following function. dx y = 9 cos x sin x %3D dx II

A: Given y = 9 cosx sinx  Find dy / dx = ?   

Q: ii) h(x) = e values for the functions along the interva

A:

Q: Problems: Find the general solution y9-2y9+y"=0|

A:

Q: Find an equation for the plane through points P(1, -1,2), Q(2,1,3) and R(-1,2,–1).

A: This question can be solved by applying the formula of equation of plane passing through three non c...

Q: Compute the derivative of the following function. f(x) = 11 e 4x f (x) =

A:

Q: 4. у%3D 2х—х2, y = 2x² – 4x

A: