Find the volume of the th

Q: (C) EXERCISES Evaluate the following integrals: 1. tan² x dx 2. cot cot² r dr COS I da sin x COST…

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Q: [₁x³√x² + 3dx x-3 2

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Q: Solve the given initial value problem. O x¹y² - xy³ = = 84 x³y² - y² = 26 x¹y² + xy³ = 78 x³y² + xy³…

A: Let's find.

Q: Compute the area bounded by the curve x=y²-2y and the line x-y-4-0₁

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: 6. y" - 4y' + 5y = 4e³t; y(0) = 2, y'(0) = 7

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Q: dy II. Find Do not simplify your answers. dr 2. y= tan ¹(coshr) (sin²x) (sech x)secz S [use…

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Q: Find the fourier transform of x*arctan(x) x*tan^-1(x)

A: Solution of the problem as follows

Q: ● Let B(x) Let C(x) = = = **f(t)dt. Evaluate B(1). * f(t)dt. Evaluate C(9).

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Q: Find the directional derivative of f(x, y) = direction of Q(2, —2). NOTE: Enter the exact answer.…

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Q: Locate the absolute extrema of the function on the closed interval. f(x)= x³ 12x, [0, 4] -

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Q: Find fa, fy, and fz. f(x, y, z) = 5z ln(x³y³ cos(z)) fx = fy fz f₂ = =

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Q: Question 10 x²+x+1 Ja 2x²+2+x³+x So - dx = [Aƒ (x) – B ln(g(x)] + D fb dx, and if A = ,B<0, then…

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Q: a. (7+7i)(i + 1) UNA 7+7i i+1 C. (727°) (121°) e b.

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Q: II. Find Do not simplify your answers. dr 1. log,(√2x² + y) + tan(x² − z³) = sin¯¹(x² − 1) + −

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Q: How many outcomes are in the sample space if a coin is flipped three times? 8 9 6

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Q: N. – My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: y = 2 x + 2 -3+x

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Q: Find the arc length L of the graph of r(t). L = r(t) = 10 cos(t)i + 10 sin(t)j + tk, 0≤t≤ 2π

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Q: Revers the order and Evaluate= s dx dy y

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Q: lim x →3 (x − 3) tan(9 — x²) sin²(2x - 6)

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Q: An integrating factor is μ(y) = The solution in implicit form is = c, for any constant c.

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Q: if any. Find the absolute extremum point(s) of f(x) = el-cost on [-, π],

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Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

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Q: Find the differential dy of the given function. sec² x y x² + 2 sec 2x (2x²tan x + 4 tan x-2x)…

A: This question is based on quotient rule

Q: 21. 5₁ 1 dx (A) 2 So to dx dx both diverge when p = xP (B) 1 © DO dx and (E) -1 HOR LAY A DUPA

A: Divergent

Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Domain -3 ≤ x ≤ 8 -5 ≤ x ≤ 5 -7 ≤…

A: We can find the domain of the equation as below.

Q: d Calculater₁(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and…

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Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. f(x) = 5+ H…

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Q: 2. Fe²i+yj + x²yk, A. y²i2zy2j-e²k B. x²i2y2j-e²j C. y²i2z2j- e²k D. z²i2zy²j+e²k E. y²i-zy2j- e²k…

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Q: 2 fx-²dx

A: Follow next step

Q: 8 An acceleration function is expressed as a (s, v) = s²- determine displacement by integrating '…

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Q: 1. f/² sin (1) cos (4) Sir sin (²) dx (Consider initially the first 2 terms)

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Q: f/²sin (co COS () sin (²) dx (Consider initially the first 2 terms) ATT/A a dr

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: II. Find Do not simplify your answers. da 1. log, (√2x² + y) + tan(x² − ³) = sin¯¹ (2² − 1) + 2

A: log3(2x23+y )+tan(xπ-πy)= sin-1(x2-1)+π21log(3). 2x23+y 23×23x-13+y'+sec2(xπ-πy).(πxπ-1-πy.…

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 ||ti + Pi|| dt = t²i||dt 1014.07 3…

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Q: 15 Give the properties for the equation 3y 2 - 2y + x + 1 = 0. Center (-1, 1/3) (-2/3, 1/3)…

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Q: Compute the area bounded by the curves x=2y² and x=4+y²

A: Area bounded by two curves x=f(y) and x=g(y) is given by, A=∫abf(y)-g(y)dy ,a,b are the points of…

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 11x)y², y(0) - -…

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Q: Write TRUE if the statement is correct, otherwise write FALSE. y y = h'(x) (-3,0) (3,0) x (-1,-2)…

A: To write TRUE if the statement is correct, otherwise to write FALSE. Suppose that hx is continuous…

Q: Find the area of the region bounded by    x2 = 4 - y    and     y = x -2  Hint: use Vertical strip.

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Q: 2 x + لوا + sech (π) = cot(y) + log2 (tanh(x))

A: Given,            ex2+2y+sechπ=coty+log2tanhxTo find : Find dydx.

Q: II. Find dz Do not simplify your answers. 1. log,(√2x² + y) + tan(x − ³) = sin¹(x² - 1) +

A: We can solve this as follows:

Q: Describe the long run behavior of f(t) = As too, f(t) → ? v As t→→∞o, f(t)→→ ? - 4tº + 2t6-3t5+1

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Q: Find all Max., Min., Saddle point for the functions below: P(x) = 2xy-5x²-29² + 4x +49-4

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Q: Find A where R is the region R outside the circle and inside the V=2 Curve r= 4 Sing

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Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

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Q: Show that the lines L₁ : x = 4-t, y = 2t, z = 1+ t and L₂ : x = 1 + 2t, y = 3 - 4t, z = 5 – 2t are…

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Q: 3. x dy + 6y = 3xyi dx

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Q: Problem 4 The helix r(t) = (cos(xt/2), sin(xt/2), t) intersects the sphere x2 + y² + z² = 2 in two…

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