Select all of the following graphs which represent y as a function of z. 3 20

Q: Find the integral of the following equation integrate (cos x)/(1 - cos^2 x) dx

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Q: (D² − 4)y = 8e²x – 12 -

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Q: Solve the following differential equations of y"-2y' +24y=3sin(4x)+6cos (7x)

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Q: what values of x is f(x) = 2 tan(x + π/6) discontinuous?

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Q: Sketch the region enclosed by the curves and find its area. y = x, y = 3x, y = -x + 4

A: Given; y=x, y=3x, y=-x+4   Now find the point of intersection between the line y=-x+4 & y=3x.…

Q: h₂ = = 3.75 sin(736t) + 7.5 and h₂ = 3.75 sin(736(t + 4))+ +7.5

A: answer of given question is in next step

Q: Find curl F and div F given F(x, y, z) = e* siny i+ esinzj+e-² sin x k

A: Given  Fx, y, z = e-x sin y i + e-y sin z j + e-z sin x k We have to find curl F and div F.

Q: 2. Evaluate the following (Express all answer in Rectangular Form): d. √9+ 2i e. 2¹ + ln(2 + i)

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Q: 2. Find the indefinite integral (Scos(4x) + √x dx

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

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Q: Consider the series (3x)" n n=1 Find the interval of convergence of this power series by first using…

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = y =…

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Q: IF F. dr. F(x, y) = 9xi + 6yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2 Evaluate

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Q: Find the two x-intercepts of the function fand show that f(x) = 0 at some point between the two…

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Q: Consider the series (4x)n n n=1 Find the interval of convergence of this power series by first using…

A: Given problem:-

Q: 1/2 y = (4x-3)¹/²₂ d³y 3 dx

A: Third derivative id given.

Q: ind r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). r(t) = 2t²i - 2tj + 5t³k (a) r'(t) (b) r"(t) (c)…

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Q: Find the limit of the trigonometric fur lim cos (5) 248

A: answer is in next step

Q: Verify Green's Theorem by evaluating both integrals ƏN [< y² dx + x² dy = √₂₁ / (™N - 3W) CIA dA əx…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Find the differential dy of the given function. y sec² x x² + 2 dy sec²x(x²+2)tan x-x (x² + 2)² dx X

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Q: trignometric

A: We will find the solution.

Q: fand sketch it, for f(x, y) = x²

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Q: The length of each of the two equal sides of an isosceles triangle is 24 meters (see figure). The…

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Q: Find DO NOT SIMPLIFY YOUR ANSWERS. 1. log √2x² + y + 2x² + y) + tan(x™ — ñ³) = sin¯^¹²(x² − 1) + ½ /

A: To dydx.log32x23+y+tanxπ-πy=sin-1x2-1+π2

Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 4 and below by the…

A: Here, the given region is bounded above by the curve y=g(x)=4 and bounded below by the curve…

Q: Find the work done by the force field F(x, y, z) = (x - y², y - z², z - x²) on a particle that moves…

A: Work done on particles: W = F.dr

Q: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

A: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

Q: f(x) = 2x + 3 x 1 1 ; a = 1

A: limx→1+f(x)=limx→1+x2+2                =12+2=3limx→1+f(x)=3

Q: Consider the following. f(x) = - { $( (²), <1 |x|≥1 Find the x-values at which fis not continuous.…

A: We have to find the points at which the function is the discontinuous.

Q: r(t) = cos(at)i ln(t)j + √t − 4k; to = 5 2 ms of i, j, and k. Domain is: (, ) NOTE: Enter r(5) ||…

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Q: e3x-6-2, [2x - 5], √x²-9, if x ≤ 2 if 2 3

A: answer is in next step

Q: 4. sinx 1-sin² x dx

A: integration

Q: Find the indefinite integral. (Use c for the constant of integration.) [(48³1 + (4t³i + 14tj -…

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Q: (D² - 3D + 2)y = 2e¯* +8 Your answer

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Q: Σ(+6) της

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Q: Determine whether F(x, y) = 4x²y i+ 9xy²j is a conservative vector field. If so, find a potential…

A: Determine whether F(x,y) is a conservative vector??

Q: Differentiate: arcsin arccos () = 1

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Q: Find the area of the region between the curves y = x and y = √x. Area between curves =

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Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + 53³k (a) r'(t) (b) r"(t)…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: Evaluate (F JC Er F • dr. F(x, y) = xi + yj C: r(t) = (7t + 4)i + tj, 0≤t≤1

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Q: Question 16 Given the function (6x + 9 f(x)= ₹

A: We have to find the value of function at given values.

Q: Evaluate the integral 13 ƒ(x)dx geometrically for ƒ (x) = { |3 − x ; x ≤ 5 2; x > 5

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Q: Find the exact length of the curve. X x=√y (y - 3), 16 ≤ y ≤ 25

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Q: Prove the identity. sec²x+csc²x = sec²x csc ²x Note that each Statement must be based on a Rule…

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Q: Find derivative of 5x^2/3sqrtx using the Product Rule

A: To find the derivative of f(x)=5x23x using the product rule.

Q: Solve the D.E ý - y = x لم

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Q: COS X d) f(x)=3sin √√x³ -3x+2___ _e) ƒ(x)=! f) h(w) = 3 cos(tan w)

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Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. [²4x³…

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