Sketch a possible graph of a quadratic function which has two real roots (one positive, one negative), a graph that opens upwards, and y-intercept at (0,-4).

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Q: Plot the point with spherical coordinates (2, -5pi/6, pi/6) and describe its location in both…

A: The objective is to plot the point with spherical coordinates 2,-5π6,π6 and describe its location in…

Q: If f(x)= 1 √/2x+1 find f(x+h)-f(x) at h=0. h

A: The given function is: f(x)=12x+13

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Q: there are 3 square roots of 0 when we work mod 45 give all 3 of them

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Q: Find the length of the curve R(t) = (2t, cos 2t, sin 2t), 0 ≤ t ≤ π

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Q: y-1/10(e^(5x)+e^(-5x)), for x:[-4,4], about the x axis. Find surface area

A: Let's find surface area.

Q: dx 3. = 8-3x; x(0) = 4 dt

A: To find out the differential equation.

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Q: a) Graph the function f(x) = b) Draw tangent lines to the graph at the points whose x-coordinates…

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Q: ew Policies urrent Attempt in Progress You invest $5000 in an account which pays interest compounded…

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Q: . Compute the derivative (r₁(t) · r₂(t)) if r₁(t) = (tº,t7, t8) 1₂(t) = (e¹0¹, e²¹, e³¹) (Use…

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Q: If a b 8, then what is ba equal to? 18 ● 8 = More information is required. -8

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Q: differential equation: families of curves the given is, the trisectrices of maclaurin y^2 (a+x) =…

A: The given equation is; y2(a+x)=x2(3a-x).

Q: Find the location at t = 3 of a particle whose path satisfies 7 - ( 18 - ( + 1)2². (t dr dt ,2t r(3)…

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Q: he textbook, an the previous assignment, you created a piecewise function to model the income tax…

A: As per the guidelines I am supposed to do the first question among multiple questions, still I am…

Q: Determine the value of k such that y=4x²-3e2r is a solution to x(1-x)y"+ (2x²-1)y'+k(2x-1)y=0

A: Find first and second derivatives and substitute them in the given equation.

Q: 1. 2. Find the following limits, if they exist. (If a limit does not exist, enter DNE.) 3. 4. f(x) =…

A: Here we have to find the limit of the function.

Q: Evaluate the multiple integral [ So (1/4) y dy dr *cos(x/4) sin(x/4) Enter the numerical value…

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Q: The f'(5) for y = √3x² + 6

A: Solve the given for f'(5)

Q: Evaluate the multiple integral X COS [ f(1/4) y dy de sin(5/4) 2 Enter the numerical value accurate…

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Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate…

A: We have to evaluate  log7 a2b497.

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Q: Evaluate the integrals (1) 5 Stan ³ tan’x sec xd

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Q: 4. Two persons travel by car to separate cities in the same amount of time. The first person travels…

A: Distance=Speed ×Time  then   Time=DistanceSpeed

Q: Eliminate the constant: 3x =c₁e²x + c₁₂e ³x Oy"-y'-6y=0 Oy"-5y'+6y=0 Oy"+y'-6y=0 Oy"+ 5y'+6y=0

A: Application of differential equations

Q: y=-2 -24x where y'=y"

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Q: Determine the value of k such that y=4r²-3e2r is a solution to x(1-x)y"'+ (2x² − 1) y' + k (2x − 1)…

A: I am attaching image so that you understand each and every step.

Q: An implicit equation for the plane passing through the point (5,4,−2)(5,4,−2) that is perpendicular…

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Q: Compute the derivative d (r₁(t) · r₂(t)) if r₁(t) = (t6,t7, t8) г₂(t) = (e¹º¹, e²¹, e³¹ ) (Use…

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Q: Determine the value of k such that y=4x²-3e²t is a solution to x(1−x)y''+ (2x²− 1) y'+k (2x − 1) y=0…

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Q: Simplify the following: 57 +27 i 57-27 37 +27 LO Te 1² (47 −25) + 3(7 + 7)

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Q: Problem 2: Find the third derivative of y y=62x² (√4x²)

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Q: Four and one-half foot-pounds of work is required to compress a spring 4 inches from its natural…

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Q: Consider the planes −x − 2y − 3z = −4 and x + 2y + 3z = 12. (a) Explain why these planes are…

A: This question can be solved using the concept of planes in three dinesional geometry

Q: Q1/ Solve the following linear system using Gauss elimination method x+y+z=4 2x+4y-z = 10 2x-y-2z =…

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Q: What function is the general solution of the differential equation y" +10y +25y=0? = (Ax+B)e-5x y=…

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Q: Solve for the particular solution of the differential equation below when s=2 and 0=π/4 tanede +…

A: Given tanθdθ+scos2θds=0 when s=2 and θ=π4

Q: Eliminate the arbitrary constants Y = C₁ e²x + C₂ C³x са

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

A: Given that temprature is 70 degree at midnight and high and low temperature during the day are 84…

Q: Question 6 Determine the value of k such that y=4x²-3e2r is a solution to x(1−x) y''+ (2x²− 1) y' +…

A: The given equation is; y=4x2-3e2x.

Q: Let f(x)=5x+7 Let g(x)=ln(x)−3 Find the following: (1.) g(f(x))= (2.) f(g(x))= (3.) f(f(x))=

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Q: Determine the value of k such that x²y=1+x is a solution to (x²y + k) dx + x³dy = 0

A: We are given that x2y=1+x is a solution to x2y+kdx+x5dy=0. Now,         x2y=1+x⇒y=1+xx2=1x2+1x So,…

Q: Question Find parametric equations of the line tangent to the curve r(t) = (√tª +2, ln (t³ + 4),…

A: Given :rt=t4+2, lnt3+4, -7t3

Q: Q26 Sasha is trying to bound the error of her M10 approximation of S f"(0) = 0 and f"(T) = 0 and so…

A: We have to find part a,b and c .

Q: A population of 580 bacteria is introduced into a culture and grows in number according to the…

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Q: Let f be the function given by f (x) = 5x³ - 3x - 7. What is the value of f' (-2) ? B D -114 17 50…

A: SOLUTION-

Q: Determine the point at which the graph of the function has a horizontal tangent line. (If the…

A: This question can be solved by applying the formula for calculating the slope of a line at a given…

Q: 9. 4, 7, 10, 13, 16, ...

A: Given sequence, 4,7,10,13,16... We know that nth term of a sequence is given by, an= a1+(n-1)d…