The following parametric equations trace out a loop. Find the t values at which the curve intersects itself: t = ± What is the total area inside the loop? Area = X Y = 8 - 31/1² − ³ t³ + 3t+2

Q: Given surface A: 4x² - 9y² = 9(z² + 4) 1. Find an equation of the trace of A on each of the…

A: answer is in next step.

Q: Q2. A second-order non-homogeneous differential equation is given by dy d²y dx² - - 10- (a)…

A: We can solve the given differential equation .

Q: Use the parametric equations of an ellipse x = 10 cos 0 y = 22 sin 0 0 ≤ 0≤2T to find the area that…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: The table below gives selected values for the differentiable and increasing function f and its…

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Q: Shown to the right is a certain population, in billions, for seven selected years from 1950 through…

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Q: 5. Answers (in progress) In problems below, (a) identify the independent variable (use 't' for the…

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Q: (A) C B) a (A) a B d с dx ex√4-e²x the integrand is transformed into? (a) cos²0 (c)-sin²0 (b)-sec²0…

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Q: Find the first derivative f' and the original function f. ƒ"(x) = cos(x), s' () = 5. ()=4 f' (Use…

A: Topic- differential equations

Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

A: answer is in next step. please give a like !!!

Q: 13. The population of the town, rounded to the nearest whole person, remaining after 5 years is…

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Q: The elimination method was used to solve the following system of equations: x²-y=-4 x² + y² = 18…

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Q: 11. Evaluate the following limit: 4x lim - X18 √x² 2 I - 1

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Q: Evaluate the two integrals given the graph. The two parts of the graph are semicircles. [₁50x 1°…

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Q: an appropriate method. 1₁ Evaluate the integral using 1 x²√x² +9 dx

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Q: 3 7 Given sin A 25 in Column 1 with its exact value in Column 2. Column 1 and sin B sin (A - B) tan…

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Q: Write the sum without sigma notation. Then evaluate the sum. 2 Σ k=1 40k k+3

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Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

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Q: Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = 7y-3y² and…

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Q: 1) .  Solve the initial-value problem with the initial condition y0 = 0. dy dt = y + 3 y =    graph…

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Q: The graph of the function f is shown below. If m is the slope of the line tangent to the graph of…

A: From the given graph, we have to find the slope of the tangent line at x=-7

Q: The graph below shows a transformation of y = 2 5+

A: answer is in next step . please give a like !!

Q: = ( 4+x)-³. 00 n=0 00 00 118 00 (-1)^(n+1) (n + 2)x" in +3 2.4" (-1)^(n+4)! 2n! (-1)" (n+1) (n + 2)…

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Q: If sin 0 O a) cannot be determined Ob) / 09-1 Od) -42 4√2 O e) 4√2 9 -- and is in quadrant IV, find…

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Q: Find the area of the region enclosed by the curves y² - 5x = 9 and x - y = 1. The area of the region…

A: Please refer to the image below

Q: 14) . Solve the initial value problem. y' = (x − 1)(y − 2),  y(2) = 2 y =   PLEASE SHOW STEP BY…

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Q: Given the graph of f'(x) below, where the Dom f (x) = (-∞, ∞). Determine the value of ƒ" (−6) Α. B.…

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Q: A sphere of radius a is sliced parallel to the equatorial plane at a distance a−h from the…

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Q: If the line r = (2-t, -2 + 13t, 8t) is the normal tangent line to the level surface axyz²by² = -14…

A: answer is in next step . please give a like !!

Q: dy Find for y = dr dy dr || r J√3 + 0 3 + 4t2 dt.

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Q: Use the graph of the derivative g'(x) shown below and the terminology: increasing, decreasing, local…

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Q: on for this differential equation problem:   The part of the normal to a curve, at any point (x,y)…

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Q: 8. Analyze the graphs of f', then list all intervals where f is increasing or decreasing. f'(x), 1-…

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Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

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Q: An exponential function f(x) = ab passes through the points (0, 7000) and (2, 4480). What are the…

A: The objective is to find a and b.

Q: Solve the triangle a = 6₁ c = 5, B = 54 b = S لان A=

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Q: Evaluate the double integral 1 2x+1 LL.** Select one: | None of them 113 x² dy dx

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Q: -00 6w³ 2 (w² + 1)² -dw

A: Use the properties of definite Integral to solve the given integration.

Q: A table of values of a function f with continuous gradient is given. y012 Find x 1 2 38 2 1 5 7 9 4…

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Q: Rewrite the following quadratic function in standard (vertex) form. f(x) = 2x² + 12x +16 Enter exact…

A: We will solve.

Q: g(x)= 4-3x 3x² + x

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Q: Work Problem 2 a) Sketch the region of the double integral +edA where R is bounded by z = 3, y = 2²,…

A: Solution is given below:

Q: Determine the equation of the parabola whose graph is given below. Write your answer in General…

A: We have to find equation of parabola which is given in the graph. We know the equation of parabola…

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: The function is given as , fx,y=lnxy+x2 find the directional derivative at point -1,1 in the…

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

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Q: Find the composite functions (f g) and (gf). What is the domain of each f(x) = 2/ g(x)=x²-49…

A: We can answer the question as below by filling up the blanks.

Q: Use Stokes’ Theorem to evaluate the flux integral ∫∫(∇×F)·ndS, where F =〈2y, −z, x+y −z〉, S is the…

A: To evaluate the flux.

Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=<8,-6> and  3v=3-1,23v=<-3,6>

Q: what

A: Please refer to the image below

Q: Use Green's Theorem to evaluate the line integral. Sc C: boundary of the region lying between the…

A: The objective of the question is evaluate the integral help of Green's Theorem.