Find the length of the curve. 1 10x3' y 6 + 1 ≤ x ≤4

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A: This is a vector problem

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Q: Find a general solution (implicit if necessary, explicit if possible) of the differential dy…

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A: A series is convergent if sequence of partial sum (sops ) is convergent

Q: Use the following information to complete parts a. and b. below. Ιπ f(x) = sin x a == 6 a. Find the…

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Q: s ide Jan and Jim started hiking from the same location at the same time. Jan hiked at 2 mph with a…

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Q: A joint density function is given by (a) Find the value of the constant k. k= (b) Find the…

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Q: Determine whether 65"+¹ is convergent or divergent. O divergent O convergent a=1

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Given: general solution is  y=c1+c2e2xTo find:  the homogeneous linear differential equation with…

Q: If $500 is invested at 4% interest, compounded annually, then after n years the investment is worth…

A: We need to find out that after 6 years what will be the invested amount become.

Q: 2 termis U

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Q: 3. Find the area of the region bounded by the curves y = x² and y = cos(x). Give your answer correct…

A: The region bounded by the curves y=x2 and y=cos x

Q: 7πT 6' expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point (p, 0,…

A: x=ρ.sinϕ.cosθy=ρ.sinϕ.sinθz=ρ.cosϕ

Q: A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: ?. Then the value of the directional derivative in the direction (-3, 4) at the point when (-1, 1)…

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Q: Compute the gradient vector fields of the following functions: A. f(x, y) = 1x² +10y² Vf(x, y) =i+ j…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

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Q: Is the inverse equation a function

A: The inverse equation or an anti equation is also a function.   A function is invertible if and only…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: A barrel is shaped like an ellipsoid with equal pieces cut from the ends by planes perpendicular to…

A: Given a barrel of height 2h and radius at center R and at the has radius r. To find a formula for…

Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given plane is passing through the points (4,2,1) and (4,1,-6). Let A,B C are direction ratio of…

Q: find the vertical asymptotes of the graph of the function f(x)=ln(x+3)

A: x=a is said to be a vertical asymptote of a function y=f(x) iff as x tends to a f(x) tends to ∞ or…

Q: Use Euler's method to calculate the first three approximations to the given initial value problem…

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Q: Find the general solution of the given differential equation. dy dx y(x) = = 3y 3y² 2 + Cx Give the…

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Q: Find the derivative of f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

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Q: Find the moment of mass from the x-axis for y = x ln(x) - 3x and y = 1 bounded by x = 3 and x = 6.…

A: Given : two curve y=x ln x - 3x and y=1            bounded by x=3 and x=6

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: yP=A ex+Bex What y

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Q: he indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: Rewrite the expression as a single logarithm. In 6-In 5

A: This question can be solved using the concept of logarithm.

Q: 3. DETAILS Find the area of the region. Three petals of r = cos(90)

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Q: 1. Given the following expression: 27 81 3 9 + + 10 100 1000 10000 a) Using sigma notation, write…

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Q: Let f(x, y, z)= = fz(x, y, z)= fy(x, y, z)= fz(x, y, z)= 2² - 2y² I y² + 4z² Then

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Q: 9 -25 -49 + 8 = 2*+* 3X 2X - 2X Ans: y = c + czxe + cze L 25 -3X e + x + x + ½

A: See this solution in below

Q: go Find the equations of the tangent lines to the graph of y=x²+6 graph of a to 197 +6 that through…

A: To find out the equation of tangent line and also graph it.

Q: Select a formula for the general term ³ of the sequence, assuming that the patt of the first few…

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Q: Find the general solution of the given higher-order differential equation. y"" - 3y" - 4y = 0 y(x) =

A: Given :y'''-3y''-4y'=0

Q: Evaluate f xdx (x²+1)²

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Q: TryMaryviar yıvıar Question 9 of 10 Find the equations of the tangent lines to the graph of y=x2+6…

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Q: #10 M8 0=1 n² +8 a. Comparison test with 1.5 Shows the series diverges. n' b. limit comparison test…

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Q: Consider the following. f(x, y, z) = x²yz - xyz³, P(4, -1, 1), u = (0, -, -3) - (a) Find the…

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Q: I. Solve the following integrals using Algebraic Substitution 1. ſ 2. S -1dx dy y+4-2

A: ∫un du = un+1n+1+C ∫1au+b du =1alnau+b+C ∫1u2+1du = tan-1u+C

Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁: -30x + 120y + 60z…

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Q: The graph of the function f(x) is M Given the differential equation a' (t) f(x(t)). List the…

A: The equilibrium points are the points where the curve touches or crosses the horizontal axis.   So,…

Q: A paper company needs to raise money for expansion. The CEO of the company issues a 10-year $1,000…

A: Given Face value of fond, F=$1000 Coupon priceC=$30 Interest rater=7% per anum Time period = 10…

Q: logists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = -0.01p2 + 7p,…

A: Using double derivative test

Q: yP=Ae+Bex What yp

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Q: Consider the points A(3, -3, 2), B(6, -5,0), C(-1, -4,0), and D(6,3,-4). (a) Find the volume of the…

A: Here we have  to use the concept of vector