Explain one random and one systematic source of error in this experiment. How to reduce these errors?

Q: An equation of an ellipse is given. 7x^2 + y^2 = 49 Determine the length of the minor axis.

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Q: f(x) =x° – cos(x) Solve this question by X the Bisection method on the topic of solutior of…

A: given f(x)=x3-cos(x)

Q: J (금2 + 3z2 +1) dz 4. 6) dx 5.

A: 4) the integration of the integral is 3z4/4 +3z2+1 5) the integration of the integral is  -2x5/3 -6.

Q: Find the tangent line. To the ellipse x²+4y²=8 parallel to the line x+2y=6

A: Equation of ellipse is , x2+4y2=8Differentiate w.r.t.x2x+8ydydx=0Subtract 2x from both…

Q: Problem 3. Consider the function 1 F.(s) = %3D 1+(-js)2n 1. Find the poles of F(s). Is F(s) stable…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(4,…

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Q: 1 20. (*+1) (x² + 4)

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Q: 12. The terminal point P(x,y) determined by an angle t (a) cos (t) (b) tan (t)

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Q: x* – 6x3 Find Lim x-0 x3 – 4x

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Q: Year Month: Date: Sa So MoTu We Th Fr Q/ find the area of the region between the x-axis and graph of…

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Q: Find the change in cost C for the given marginal. Assume that the number of units x increases by 3…

A: We have to find the change in cost C.

Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: 4. Calculate the flux of F = over the square shown below, oriented counterclockwise. SS (Px +Q, R…

A: We have to check given work on this problem write or wrong   But this work is wrong Because flux or…

Q: A chemist needs 8 liters of a 25% acid solution. The solution is to be mixed from three solutions…

A: An algebraic word problem is given. We have to solve it. To solve the problem, we will form an…

Q: ソ=9

A:

Q: For the periodic function: f(w)={--1 0<a<1 1 -1<x <0 x -1 0<x <1 Determine: 1. Is it Odd, Even, or…

A: Given

Q: 1 Find the exact arc length of y =÷x 2 4 - In x over [1, 2]. Show All Your Work!

A: This is a problem of finding out arc length of the function. This can be solve by using concepts of…

Q: A sand storage tank used by the highway department for winter storms is leaking. As the sand leaks…

A:

Q: Let P be the point with Cartesian coordinates (2, 1, 4) and Q be the point (4, 3, 10). a. What is…

A: We have to solve all three parts

Q: Solve the given initial value problem. 6x°y + y² 2x6 + 3xy' dy y(2) = - 2 dx O x°y² + xy* = 112 =…

A: Here we have to solve the given initial value problem.   dy/dx = -(6x5y+y2)/(2x6+3xy) , y(2)=-2

Q: Evaluate the definite integral. t1/3 t2/3) dt 3 20

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Q: (f) Suppose that the fundamental group of X is Z and p(xo) is finite. Find the fundamental group of…

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Q: 4-ス しx-x2 しim

A: limx→164-x16x-x2Apply L-Hospital

Q: x² +1 4. хе'dy+ +In |x=c Separate the variables and ans: e'(y-1)+ y 5. 2xy dy 1 dx y? = x? +c 3…

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Q: The slope of a curve at a point P is the slope of the tangent line at P.  Select one: True False

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Q: 3 5. Sesx )dx e3x.

A: Solving the problem by finding the values of the integration.

Q: 3 f(x) =x° – cos(x) Solve this question by the Fixed-point method on the topic of solution of…

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Q: fam (Hint let u = Inx and du=xdx) x Inx dx

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Q: Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the…

A: We have to compute the two-dimensional curl of the vector field and evaluate both integrals in…

Q: Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes to fill the…

A: Given problem:- Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find the equation of the curve that passes through the point (5, 4) if its slope is given by dy — За…

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Q: lim ((6x + 2) (3x² – 3)) = x-6

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Q: If total revenue is R=50Q-2Q^2. At what value of Q will marginal revenue by -10?

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Q: Evaluate the derivative by using the appropriate Product Rule where r, (t) = (r,r,5t), r(2) = (2,…

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Q: f (x,y) = x^2y - 2x^2 -4y^2 +66. Find all critical points of f. For each critical point, determine…

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Q: dy = 12y – 3y?. Consider the differential equation dt Use a phase-line analysis to find the…

A: Here, the given DE is: dydx=12y-3y2 The fixed points are given by  dydx=0⇒12y-3y2=0⇒3y(4-y)=0⇒y=0,4

Q: Use sine and cosine to parametrize the intersection of the cylinders x + y = 81 and x? + z? = 81.

A: Find your answer below

Q: Queslfon (2): sKetch and find Range.- ) fow= (x +2 -4 2) fra)= 4- Vx-5 7) fox)= -Ix +3| +5 り frye…

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Q: 3 (9 — х?)2

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Q: working

A: We have to find the following conditions according to the given information

Q: dx xVx² – 9 .2 X

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: A particle moves in a straight line and has acceleration given by a(t) = 12t + 5 sin t. Its initial…

A: To find the position of the function s(t) of the particle. Given that a(t)=12t+5sin(t) Initial…

Q: Ing us. 1. y = 7* 2. y= 8*

A: 1)y=7x 2)y=8x^2+1.

Q: L 1) For f sin sin 2 2πmx 2nnx sin sin L dx , write the solutions for the following two sets m = 4,…

A:

Q: Let A = For which values of a and b will A have the eigenvalues 2 and 3?

A: The given matrix,      A=a1b0

Q: "roblem #5: Use the divergence theorem to find the outward flux F.n dS of the vector field F =…

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Q: Given the following information of a triangle, match the missing side or angle with its value. a =…

A: Given the following information of a triangle, match the missing side or angle with its value.a=41…

Q: Find the general equation of the plane containing the point (2, –1,4) and normal to the line 2 = =…

A: As the line is normal to the plane, the DRs of the line and normal of plane is same.