(D² - 3D + 2)y = 2e-* +8

Q: 2. y = tan-¹(cosh x) (sin² x) (sech x) secx [use logarithmic differentiation]

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Q: (1) What is the approximate volume of a thin cylindrical shell with height 2, radius 3, and…

A: Solution ) Volume of the cylinder    V = πx2h        x = radius         Differentiate with respect…

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: interval of convergence = 0

A: Follow the procedure given below.

Q: Apply the first derivative test to indentify all relative extrema. f(x) = ¹²-2x+1

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Q: Evaluate the triple integral zdV where E is the solid bounded by the cylinder y² + z² = 64 and the…

A: Here, to evaluate: ∫∫∫Ez dV where E is the solid bounded by the cylinder y2+z2=64 and the planes…

Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or…

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Q: Given: (x is number of items) 3844 Demand function: d(x) = √x Supply function: s(x) = 4√x Find the…

A: The demand function is given by dx = 3844x The supply function is given by sx = 4x To evaluate: The…

Q: Use Green's Theorem to evaluate the line integral. S y² dx + xy dy C: boundary of the region lying…

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: To find out the tangent line approximation.

Q: dx 3xy 10. Find for xy = In (cos x + sin y) by using implicit differenti dx 1. Find dx for y³ + 4x…

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Q: 1. F = cos y i+ xyj + yk, A B C D E F О н A. i+j+(y-siny)k B. i+ (siny - y)k C. j (2y-siny)k D. 3i -…

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Q: Find an equation for the ellipse whose graph is shown. I X y X 3 0 4

A: The figure of the ellipse is To evaluate: The equation of ellipse.

Q: Find the volume of the solid obtained by revolving y(x) = sin(7x) for 0 ≤ x ≤ about the x-axis. (Use…

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Q: enclosed by Find the area X = 2y² and x = 8 the сикише

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Q: An irrigation channel is constructed by bending a sheet of metal that is 3 m wide, as shown in the…

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Q: 10 (1 - 6x)² convergence R Represent the function Co= C1 = C2 = C3 C4 = Find the radius of || as a…

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Q: 5 13 And cos (a + B) 17) If sin α = and sin B = 12 13 π where a and ß are between 0 and " 2 evaluate…

A: We have to use simple trigonometric identities to solve the question

Q: Question 3. Find the maximum revenue that demand equation is given by q = can be realized by selling…

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Q: ergence or divergence of the given series or state that the Root Test is in 1 n=1 non x.)

A: Given :

Q: 1/

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Q: fand sketch it, for f(x, y) = x²

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here we have to find the area.

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: Solve the following differential equations of d²y_2dy + y = 2x dx² dx

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Q: II. Find an equation of the plane containing the points (0,2,-1) and (1,-1,-1) and perpendicular to…

A: we have to find the equation of plane.  Let, a,b c are the direction ratios of required plane 1.

Q: Given the function f(x) = -√√x + √³, find f'(6). Express your answer as a single fraction in…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2x² - 2 dy= Need Help? Read…

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Q: fx-²dx

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2/3 dy = Need Help? Read It…

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Q: 27 SECOND DERIVATIVES Find TUTORIAL 22 if y-In (x + 1). Answer 2-2x² 22-2

A: Note:-As per your mentioned request i am solving question 1 from the given figure.

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: Solve for the derivative of the following trigonometric functions. 1. f(x) = e3x 2. f(x) = x³ ex 3.…

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Q: Find all points of intersection of the given curves. (Assume 0 ≤ 0 ≤ 7. Order your answers from…

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Q: 7- Differentiate Y= f(g(x4)) h³(√x)

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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: 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: Ex: Solve the DE x²y"-5xy' +9y=0

A: To find the solution of the given differential equation.

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

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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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Q: (a) Find the acceleration of the body each time the velocity is zero. Enter your answer as a list if…

A: Follow the procedure given below.

Q: 3. Fxz²i + (1 − 3xy)j + yzk, - A. xyi + 2yzj - 3yk B. zi + 2xzj - 3yk VXF=

A: Given vector field F=xz2 i+(1-3xy)j+yz k

Q: For the graph below, the concavity switches at x = +1.7 and 0 and there are critical points at x =…

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Q: dx secx+1

A: First simply the equation Using Trigonometric identities.

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x)…

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Q: Find the differential dy of the given function. sec² x dy Read It Need Help?

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Q: d the area inside ²4 sin 20, 8 4 16 0≤0≤

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Q: Find an equation of the plane with the given characteristics. = The plane passes through the point…

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Q: Find dy/dx by implicit differentiation. x²y³ -yax dy/dx =

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