Find the equation of the elipse

Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. Im 0.1+√2 0.1+√/2 O-1-√√2…

A: Writing given integral

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: Here the given integral is ∫xx2+62dx  To evaluate the integral.

Q: K Sketch the region of integration, reverse the order of integration, and evaluate the integral.…

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Q: Find the directional derivative of f(x, y, z) = in the direction from P to Q(3, 8, -2). NOTE: Enter…

A: The directional derivative of the function f in the direction of u is: Duf=∇f·uu

Q: The period of a pendulum (the time elapsed during one complete swing of the pendulum) varies…

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Q: Let (Q) be the quadric surface given by the following equation x² + ² = 9 Then:

A: check the equation

Q: Question 7 Multiple choice (one answer) Find the solution of: 3 gdy +y*ecosa sin .cdr =0 xdx O 3…

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Q: Find the gradient field F = Vp for the potential function <p below. p(x,y,z) = In (2x² + y² + 3z²)…

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Q: Convert the rectangular equation to polar form and sketch its graph. (x² + y²)² - 5(x² - y²) = 0

A: To convert cartesian equation to polar equation, use the substitution x = r cos(θ) and y = r sin (θ)

Q: The volume V of a right circular cylinder of radius 1 and height his V = r²h.

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Q: Solve like in samples image i given.  2. f(x)= 3x²+4x+3 Handwriting

A: To find the derivative of the function. fx=3x2+4x+3

Q: r2 +52−3 - S 2 x (x + 2)² -d.x

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Q: Find the linearization of the function f(x) = L(x) = B b √ā B -1.1 lal म sin (a) Find the true…

A: We have to linearize the given function and find the values at given values of x.

Q: Use the graph of the function f(x) above to complete the following f(1) is OA. Positive OB. Zero OC.…

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Q: 5x Find the linearization L(x,y) of the function f(x,y) = ecos (3y) at the points (0,0) and The…

A: Linearization of the function fx,y at a,b is given by Lx,y=fa,b+x-a∂f∂xa,b+y-b∂f∂ya,b

Q: Two identical circles of radius r are inscribed in a rectangle as shown. Da (a) Express the area of…

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Q: Write an iterated integral for bounded by y =√x, y = 0, and x = 256 using a. vertical…

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Q: 4. The duck population near a small lake can be modelled by the d(t) = 0.5(t² + 8) (t + 4) Where t…

A: given that , duck population function is given by :-d(t) = 0.5(t2+8)(t+4)where  t is time in years…

Q: Solve by the elimination method. Also, determine whether the system is consistent or inconsistent,…

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Q: Find the dimensions of the rectangle with area 169 square inches that has minimum perimeter, and…

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Q: Use l'Hôpital's rule to find the following limit. lim (In 5x - In (x + 6)) X→∞ lim (In 5x - In (x +…

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Q: Differentiate y = (3x-4) (2x³+3)". Express the solution in factored form.

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Q: Solve using Cramer's rule. 8x + 18y = -1 16x 6y = 5 The solution is (Simplify your answer. Type an…

A: Given data

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 7 tan u - 7…

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Q: Use substitution to find the indefinite integral. [8(8x-14) dx

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Q: 1. Name the curve with the given polar equation 4 4 1+ cos 0 1 + 2 sin 0 a. r b. r = c. r = 6 2 +…

A: (a) r = 41+cosθ (b) r = 41+2sinθ (c) r = 62+sinθ

Q: Problem #4: Which of the following is an equation of the tangent plane to the graph of f(x,y) (8, 1,…

A: Step 1 : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: When coughing, the windpipes contract to increase the velocity of air passing through the windpipe…

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Q: Find Vz. 4x (47) NOTE: Give your answer in unit vector notation; that is, in terms of i and j. Vz= z…

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Q: D Question 11 O 175m Find the volume of the solid generated by revolving the region about the given…

A: The region in  the first qushant bounded above by the line y=5. below by the line y= 5x/3 and on the…

Q: Let x represent the vertical length of the garden as shown in the diagram, and let y represent the…

A: The length of the rectangle = horizontal length = y The width of the rectangle = vertical length = x…

Q: Find the limit. 17 2 Inx lim (1+2x)" X→∞

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Q: aw Əw at w=f(s³ +1²) and f'(x) = ex. Find - and at əs

A: Given that the two variables function

Q: Explain the difference between an indefinite integral and a definite integral. Choose the best…

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Q: An object with an initial position of x(0)=5 has a velocity of v(t)= sin 2t. what is its position at…

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Q: Consider the following. (If an answer does not exist, enter DNE.) f(x)=sin(x) = cos(2x), 0≤x≤n

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Q: Blanche has recently inherited $7900, which she wants to deposit into a savings account. She has…

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Q: Write a recursive rule for the sequence. a_(n)=3n-7

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Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

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Q: d²s Find the position of a body moving on a coordinate line at time t for an acceleration a = - v(0)…

A: a=d2sdt2=8e2t v(0)=20,  s(0)=6

Q: 4 Given f(x) = 4x³+, find the equation of the following lines, expressed in the form X Ax+By+C =0…

A: ⇒fx=4x3+4x

Q: Find the following limit. lim

A: We have given a vector values function and we have to find the limit.

Q: Show all steps for each part of the curve sketching algorithm clearly, number each section in your…

A: We can do only first 3 sub parts so doing first 3 sub parts you can repost remaining one.

Q: Compute Since this doesn't look like 0/0 or ∞/∞, you can't use L'Hôpital's rule right away. The…

A: In this question, we want to find the limit of the given function.

Q: Find the volume of the region bounded above by the surface z = 6-y² and below by the rectangle R:…

A: z=6-y^2

Q: Find the amount of money that will be accumulated in a savings account if $4825 is invested at 7.0 %…

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Q: Find the directional derivative of f at P in the direction of a. f(x, y) = 3 tan ¹(²); P(-4,4);…

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Q: Solve using Cramer's Rule. 9x - y = 2 x-9y = 6 What is the solution of the system? (Simplify your…

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Q: The diagram shown is a regular hexagon. Please label it as ABCDEF. Write each of the following as a…

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Q: The function f(x) = x³ + bx² + c has a critical point at (-2, 6). a) Find the constants b and c. b)…

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