Find an efficient formula in terms of m and n for the following sum expressed in sigma notation: 12+5 Σk= k m

Q: Graph the function and then find the specified limits. If necessary, state that the limit does not…

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Q: Find an equation of the level curve of the funct P(1, -2). Write your answer as an equation in terms…

A: We are asked to  find the equation of the level curve.

Q: Where did the negative 8 come from ?

A: We need to clear the doubt.

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: The given differential equation is:y'+9y=e-9t, y0=1We need to solve the above differential equation…

Q: Find the unit tangent vector T and the curvature K for the following parameterized curve. r(t) =…

A: To find the unit tangent vector and the curvature.

Q: Approximate the solution to following system of equations using the Ga 10x₁ + x₂-x3 =18 x₁ +15x₂ +…

A: Here is the solution:

Q: 28. y = cos z, y = 1- cos z, 0<x<*

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Q: A.Determine whether the following are even or odd: a. 16 +12 b. 14+5 c. 13 + 15 B.Now use your…

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Q: Use Gauss Quadrature to evaluate the integral 15 e with n=3

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Q: use the limit definition to compute f′(a) and find an equation of the tangent line.

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Q: Consider the function f(x) = 5x³ + 3x² + 8. For what values of k does the Intermediate Value Theorem…

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Q: Use the method of tubes (also known as the "method cylindrical shells") to determine the volume of…

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Q: The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate.…

A: INTRODUCTION A collection of two or more linear equations that share the same set of variables is…

Q: Let f(x) = 3x² + 17x + 10 2x² + 11x + 15

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Q: Find Duf at P. f(x, y) = 3(1+xy) ³/2; P(3,1); u= NOTE: Enter the exact answer. Duf = 1 i+ j 1/2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: DETAILS The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.7 5.7 10.9…

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Q: Find the mass M and center of mass x of the linear wire covering the given interval and having the…

A: Given density function:- δx=10-x0≤x≤7x7&lt;x≤10

Q: Let ƒ : R² →→→ R be defined by f(x, y) = (x² + y²) ³. Find f(x, y). Note: the partial derivative at…

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Q: A particle moves along a straight line with equation of motion s=1.5t^3 - 1.2t^2  inches at time t…

A: Given: Equation of motion, S = 1.5 t3-1.2t2 To find: time when acceleration is 15 in/s^2 Velocity is…

Q: Find the volume of the solid obtained by revolving y(x) (Use symbolic notation and fractions where…

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Q: Find curl(F x G) = V x (F x G). F(x, y, z) = i + 9xj + 7yk G(x, y, z) = xi - yj + zk

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Q: Determine the right end behavior of y = - 13x + +3x². + 1x4 As x → ∞0, Oy → +∞ y → -∞ Oy → -13 Oy -…

A: y=-13x+13x2+14x4if degree is even and leading coefficient is positive than as x→-∞, f(x)→∞ as x→∞,…

Q: How do I use L'hopitales Rule for (x)2 / (x-2)2 as x approaches 2 ?

A: Given query is to find the limit.

Q: verage rate of change (in $ per unit) of C with respect to x when the production level is changed…

A: cost function is c(x) = 2000+14x+0.1x2(a)  finding average  rate of change of C with respect to x…

Q: Find the equation of the tangent line to the curve y = 4 sin a where x = Y . Use exact values.

A: y=4sinx where x=π6we know standard form of equation is y=mx+cwhere m is slope of lined(sinx)dx=cosx…

Q: Solve the Bernoulli equation for y. dy = = 4y + y³. dt Use the following initial condition: y(0) =…

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Q: The velocity v of blood that flows in a blood vessel with radius R and length / at a distance r from…

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Q: The area A of the region S that lies under the graph of the continuous function is the limit of the…

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Q: The line graph shows the cost of inflation in some country. What cost $10,000 in 1975 would cost the…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 5x 1 lim x→0.2¯ 15x³ – x²1

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Q: f(x) = (x²+3, x<-3 8x+1, -3 < x < 5 B 5 <x m_f(x)=¯ f(x) = [ -3- lim_f(x) = 2-3+ lim f(x) = 2-5+…

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Q: 4. Exponential Equation is an inequalities involving exponential expression. O True O False

A: An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable…

Q: Solve the following equation. 6^t=8 Answer: t=

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Q: Make a problem solving (a hard one) regarding the family of curves elimination of arbitrary constant…

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Q: Using the definition, calculate the derivative of the function. Then find the values of the…

A: NOTE: Refresh your page if you can't see any equations. . substitute t+h for t

Q: 3. Find the length of the curve r(t) From (0, 0, 1) to (√2,√2,0) = (√2 t)i + (√2 t)j + (1 − t²)k

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Q: 9. A marble moves along a straight path and its position at time t, in seconds, is given by s(t) =…

A: given  s(t)=5t-2t2we know v(t)=d dt(s(t))dtndt=ntn-1

Q: Find the particle's velocity and acceleration vectors at t=2, and sketch them as vectors on the…

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Q: Find the limit or indicate that it does not exist. + [ (251) 10 (20₁1)₁ + ( a ) ] lim sin COS tan…

A: Topic = Limits

Q: Find the standard form of the equation for the circle with the following properties. Center (−2,…

A: given  centre is  (-2,34) given  tangent at x-axis standard form of equation of circle is…

Q: A continuous annuity with withdrawal rate N = $2,000/year and interest rate r = 2% is funded by an…

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Q: Find the derivative of y with respect to x. y = cot 1√ dy dx -1 - sec X> 1

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Q: Given the following differential equations, verify that they are exact differential equations and…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 7 Lim ( √√² + 1 - 7) t→0…

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Q: Find div(F x G) = V. (F x G). F(x, y, z) = i + 3xj + 8yk G(x, y, z) = xi - yj + zk

A: To find divF×G=∇·F×G.Fx, y, z=i+3xj+8ykGx, y, z=xi-yj+zk

Q: Solve the Bernoulli equation for y by making the substitution u = y-³. dy 5y + y². dt Use the…

A: dydt=5y+y4dydt-5y=y41y4dydt-5y3=1

Q: X = 5. Determine the value of k for which f(x) = 4x² − kx + 6 has a horizontal tangent at Show your…

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Q: 2. * 1 A)x= ²/3 Find the Value of x 162x-3 = 4x+2 B) x = 1 O A О в О с O D O None of the Above 8 C)…

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Q: Find all relative extrema

A: We need to find relative extrema.

Q: Identifying the Vertex of a Quadratic Function In Exercises 17-30, describe the graph of the…

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