L4Q10.The first term of an arithmetic sequence is 11 and the second term is 16. Find the common difference. A.10 B.5

Q: 7.) A lot in the shape of a quadrant of a circle of radius 100m. Find the area of the largest…

A:

Q: 6 5 4 3 2 I | y = f(x) 1 1 01 2 ? | 3 4 | 1 + 5 6 7 1 X 89

A: Topic- limits

Q: Express e in the form a + ib. (Simplify your answer completely.) z = −7+3″ i 447

A:

Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: Let a-2-3j.kb-41-) and c-1-31-2k. If d is such that da-9. db-7 and dc-6, then d is equal to 01-31-2…

A:

Q: 5. If f(x) = x², g(x) = and h(x) = √x² + 2x, determine the derivative of each composite function. a.…

A: Given: f(x)=x2,g(x)=1x′ and h(x)=x2+2x First find the composite functions and then differentiate

Q: Suppose the dollar cost of producing x video cameras is…

A: We need to find marginal and average cost.

Q: The number of square feet in the total surface of a right circular cylinder is equal to the number…

A:

Q: Use spherical coordinates to evaluate 2πT fff c2-r r+z (r² + z²) ³/ rdz dr de.

A: Given ∫02π∫12∫02-rr+zr2+z232rdzdrdθ

Q: IV. Determine whether the following series converges or diverges. Show your complete solution. +00 3…

A: To determine whether the following series converges or diverges.∑n=2+∞ n4-234n3+5

Q: The average value of the function f(x) =2x + 6 on the interval [2, 5] is Select one: O True O False…

A:

Q: 1.) a. Verify that y, (x). and y₂ (x) e are solutions of the differential equation 2y" y'-y-0 on…

A: We have to find if given are solutions to differential equation or not.

Q: 322. Two poles are connected by a wire that is also connected to the ground. The first pole is 20 ft…

A:

Q: Find the area of the region bounded by the graphs of the equations. x = 1, x = e, y = 0 y

A:

Q: 3) Find the Taylor series for the function g(x) = x²e³x+¹ centered at a = 1.

A: To find the Taylor series for the function gx=x2e3x+1 centered at a=1.

Q: Flight of a Rocket The altitude in feet attained by a model rocket t seconds into flight is given by…

A:

Q: Calculate the following line integrals in a counterclockwise direction around the triangular path as…

A: Let's solve given double integration.

Q: The cost function for a particular product is given by C(x)=0.001x^3 −0.24x^2 +27.9x +110 dollars,…

A:

Q: TRUE or FALSE: Vectors u = (-4, 1, -2) and = 1 7 1 1

A:

Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive).…

A:

Q: Compute the dot product of the vectors v and w, and find the angle between the vectors. v=5i-j and…

A: We have to find the dot product of vectors and magnitude of vectors

Q: 1. Use the Ratio Test to determine whether the following series converge. Make sure to explain why.…

A:

Q: Using Lagrange multipliers, find the maximum and minimum values of the function f(x, y, z) = 8x - 9z…

A:

Q: Find the volume of the given solid region in the first octant bounded by the plane 12x+12y + 16z =…

A:

Q: an = (1 + ² (1 + 2.6) "

A:

Q: Find the marginal profit function if cost and revenue are given by C(x)= 185 +0.3x and R(x) = 3x…

A: Recall: Profit, P(x)=Revenue-Cost Marginal profit=P'(x) We have, R(x)=3x-0.02x2, C(x)=185+0.3x

Q: Solve the initial value problem. dy do y=0 +y=10 cos 0,0>0, y(x) = 1 THEE

A:

Q: SW n=1 3n+2 2n+3 h

A: Given :∑n=1∞3n+22n+3n

Q: If y=-2x² + sin x solve for the differential of dy.

A:

Q: Determine the vertical and horizontal asymptote of the graph of the function. h(x)=x-2/2x2+8x+8

A: We can find the vertical and horizontal asymptotes as below.

Q: Use sigma notation to write the sum. 4 [G)²-1])+ N" i=1 X [(4)²-“() X

A:

Q: Find f   f '''(x) = cos(x),    f(0) = 7,    f '(0) = 6,    f ''(0) = 5

A:

Q: Find f(x) by solving the initial-value problem. f'(x) = 5ex − 8x; f(0) = 9 f(x) =

A:

Q: Q1. If g = xy - yz - · — zx and F = x²y ī − 2 y²zī – z²x k, find F. grad g and cross product of F…

A:

Q: Determine whether the series converges or diverges. n+5 Σ n = 11 (n + -6)5

A:

Q: 7 circle r = cos 6 and circle r = sin 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1. S x² (x+1)4 - dx

A:

Q: 4. Compute the total volume of the shaded area of the figure below where the cross-sections are…

A: We need to find volume.

Q: an = n 2.6 (1+2:0) "

A: Please see the below picture for detailed solution.

Q: The side of a square is growing at the rate of 5 centimeters per second . Find the growth rate of…

A:

Q: Consider the integral pb (y) ſª [96) ƒ(z,y)dzdy (y) a = 91(y) = b 64 -3√7 √** √³×² ƒ(z, y)dydz.…

A: The given integral is: I=∫064∫03xfx,ydydx The region bounded by the curves y=0, y=3x from x=0 to…

Q: lim X118 3x³-2x x²+2x+8

A: We can find the limit as below.

Q: The slope of the tangent line to the curve y = 4 X at the point 5, is: The equation of this tangent…

A:

Q: Find the exact value of the definite integral below, using the substitution u = x - 1²/1. X (√6+√2)…

A:

Q: Suppose an object is moving along a verticals line. It’s vertical position is L(t)= -t^2 -4t+12.…

A:

Q: Consider the following equation. =(21+√51) f(x, y) = y^/x, P(1, 3), u = (a) Find the gradient of f.…

A: Given :fx,y=y4x

Q: Q2. If F = (x² − y² + 2xz)ī − (2xz − xy + yz)j + (z² + x²)k, find the of curl F and curl of curl F…

A:

Q: Use a double integral to find the area of the shaded region. -3 -1 π/2 -3 r = 2 cos 20 3

A:

Q: The slope of the tangent line to the curve y = 3 3 at the point (5,2) is: X -

A:

Q: Determine the x-intercept(s) of the functiony = 4(x + 7)³ − 32

A: To calculate x-intercept, we should plug y=0 in the given equation. Given equation is y=4x+73-32…