Find the number of terms in the sequence or the sum of the sequence as requested. Find the number of terms in the following arithmetic sequence. 3,9, 15, 21,..., 81 O 11 8 17 14

Q: Find the 34th derivative of the function f(x)=cos(x)

A: To find the 34th derivative of the function fx=cos x.

Q: Let P=(1,2,3), N=, obtain the symmetric equation of the line that passes through point P and has the…

A: Topic - Equation of a line We are given that a line passe sthrough P=(1,2,3)and direction vector is…

Q: consider a function f, defined by f(x,y) = -y/√x2+y2   what is the behavior of f along the line…

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Q: Find the area of the region lying to the right of x = y² + 13y + 19 and to the left of x = 5y + 7.…

A: Given equations of the curve x = y2 + 13y + 19 x = 5y + 7

Q: Find the equation of the line with slope −6 which goes through the point (−9,−6). Give your answer…

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Q: _8. f(x) = 8x³ - x² 7+11x - 4x4

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Q: Perform the following calculations and report the answers to the correct number of significant…

A: Solving the following problems

Q: World population¹ is about P = 7.68(1.0103)', with P in billions and t in years since 2020. (a) What…

A: Let's solve given population problem.

Q: Suppose that in a monopoly market, the demand function for a product is p = 170 - 0.10x and the…

A: …

Q: For the demand function D(p), complete the following. D(p) = 6000e-0.04p (a) Find the elasticity of…

A: Given demand Function D( p ) = 6000e-0.04p

Q: Evaluate the limit lim 6 (²1) y→2_8y²(y − 1)³

A: To evaluate the following limit. limy→2 6y2-18y2y-13

Q: Solve the given initial-value problem. y(x) = y"" + 14y" + 49y' = 0, y(0) = 0, y'(0) = 1, y''(0) =…

A: Given :y'''+14y''+49y'=0y0=0y'0=1y''0=-4

Q: The position of a particle in the xy-plane at time t is r(t) = (t - 2) i + (²+1) j. Find an equation…

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Q: H. Regroup to subtract th 46 $200.05 10.09

A: Since we are given with the multiple number of question and answer according to the guideline

Q: Calculate the integral, assuming that f(x) dx = 2 and g(x) dx = 15. (Give your answer as a whole or…

A: Given ∫05f( x )dx = 2 ∫05g( x )dx = 15

Q: QUESTION 5. g(z)=3z3+4z2+z+12 What is the slope of this function when z = 9.1? (Round to the…

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Q: Evaluate the indefinite integral. [x²e x²e³dx شور داریم و از

A: Our Aim is to evaluate the integral given below:-∫x2ex3 dx-(i)

Q: The number of fish, P, in a pond after t years is given by 120 1+ 4e-0.7t P = (a) Find the fish…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

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Q: If 2x is

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Q: A Linear Programming Problem with two variables 1. Minimize g =12x+8y subject to x + 2y ≥10 2x+y 211…

A: A detailed solution is given below.

Q: 3. Using limits, find an equation of the line tangent to the function g(x): = 4 4 at x = -2.

A: By using limits, to find an equation of the line tangent to the function gx=4x2 at x=-2.

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 3y' - 10y = 0,…

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Q: 1.001 -1.01 101 -1.1 41.51 3 steuleve, ils 101 $+$-2 (s) 2 limit and justify each step by indicating…

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Q: To set up our curve in Mathematica, run the following: R=5; r[t_]:={R*Cos [t], R*Sin[t], t} (We…

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Q: Find the horizontal asymptote of f(x) y = = 2x + 4x³4 3x³ + 5x²2

A: The given function fx=2x+4x3-43x3+5x2-2. We have to find the horizontal asymptote of the function.

Q: Evaluate the integral. | 6² ( ₁ 7 2²³ + 5+1 k) dt 5t4 j+ + t². π -j + ln (2) k X

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Q: Prove the statement using the , & definition of a limit. x2 - 2x 8 = 6 X-4 lim Given & > 0, we need…

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Q: (1+Inx) dx +(1+Iny) dy = 0 when y(-2) = -1.

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Q: 3. Evaluate lim sin.x 00++x X 4. Evaluate lim √xecos (²7) +0<x

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Q: Find the distance from the point (-2, -2, 2) to the plane 3x−5y+5z=9.

A: given point is  (-2,-2,2)  plane is  3x-5y+5z=9standard form of plane is  ax0+by0+cz0+d=0formula for…

Q: 10. h(x) = -x-2| Domain: Transformation: Range:

A: Given that h(x)=-x-2Note:-As per bertleby I have to solve only first question. For answer to others…

Q: In AABC, side a=23, side b= 12, and m<A=20°. What is m<B to the nearest degree?

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Q: Consider the following equations. f(y) = y(6 - y) g(y) = -y

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Q: Let f(x) = 1 52+6 f(x+h)-f(x) h . = Expand and simplify: (Enter your answer in reduced form)

A: Given function is f(x)=15x+6

Q: use the chain rule to predict, (partial f / partial x) and (partial f / partial y) given that F(u,v)…

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Q: Find the area of the region enclosed by the graphs of x = (Use symbolic notation and fractions where…

A: area

Q: -3t k Compute the first, second, and third derivatives of r(t) = 3ti + 5 In(t)j + 5e

A: r(t)=(3t)i+(5lnt)j+(5e-3t)k   We are required to findFirst derivative Second derivativeThird…

Q: X 81x4 - 1 dx

A: Due to authoring guidelines of  Bartleby, we can answer only first question in case of multiple…

Q: Each of the following functions gives the amount of a substance present at time t. In each case,…

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Q: The vector v = ai + bj is perpendicular to the line ax + by = c. Use this fact to find an equation…

A: Given that , Vector : v=3i^+7j^ Find the equation of line through point P7,3 perpendicular to v.

Q: Solve the differential g(x) equation. g'(x) = 9x², g(0) = -8 = x³-5 3 X

A: Using separation we can solve first order differential equation

Q: I needed help with both parts. specially part b.

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Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (3, 0, π/2)…

A: Here is the solution:

Q: If f(x)=x²-3x - 4, find f (2). O 14 02 O -6 O o

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Q: int (7)/((x+a)(x+b))dx  Evaluate the integral. (Assume  a ≠ b.  Remember to use absolute values…

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Q: Evaluate the indefinite integral. | a2ea3 dx + C

A: To evaluate the following indefinite integral. ∫x2ex3 dx

Q: re in your answers). B) = 1³. √B) = 4) 3) = А A) B || = -D the help (formulas) help (formulas) help…

A: We have to write in x and y terms according to the given information

Q: Use sigma notation to write the sum. [s - (‡)] + [∞ - (3) ] + … + [s - (3-)] 6

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Q: Find an equation of the surface satisfying the conditions. The set of all points equidistant from…

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