1 x-1 x-1 ln x 3) lim

Q: 1 4r dr √1-4

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: f(x) = log5 (2x + 1).

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Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

A: Find complementary solution  Then find wronskian of the functions which are solution of homogeneous…

Q: Verify the identity. (Simplify at each step.) 8 sec x(sec x tan x) - 8 sec4 x(sec x tan x) = 8 sec5…

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Q: f(x (x+1)x² dx

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Q: can

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Q: ㅠ St tan5 (2x) sec² (2x) dx

A: Given:∫π2πtan5(2x)sec2(2x)dxsubstitute u=tan(2x)differentiate on both sideswe know that…

Q: Solve the differential equation by variation of parameters. 4y"8y' + 8y = ex sec x y(x) =

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i u = Si + 5j + k v = i + j +…

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Q: Differentiate each function. f(t)=sin5t

A: We have to find derivative

Q: Which of the following is a general solution in implicit form? A B C D y=ccosx y=In(cosx+B) + C y =…

A: topic- differential equation Any solution in the form y=y(x) is in explicit form. solution in any…

Q: (14) Use log differentiation to find the derivative of the function. Y = (sin (7x))*

A: Here, the given function is: y=(sin(7x))x Taking logarithm on both sides, we have: ln y=ln(sin(7x))x…

Q: =) y II 131 Olim x 1 z 1 0 -1 lim 2-1 x |x-1| |x-1| x - |x-1| lim z 1 x- - 1 -5 -1 DNE UND 0.9 -1…

A: c) Given,y=|x-1|x-1 now, limx→1-11-xx-1=limx→1-1(-1)=-1

Q: Given H(jw) -(4+jw) 6+5jw-w² an rewrite as:- (jw+4) -+₁) 6+ (jw)² + 5jw (jw+ 4) (jw+3) (jw+2) (jw+3)…

A: Topic:- application of calculus

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact…

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Q: The number of bacteria in a refrigerated food product is given by N(T) = 22T² – 617 + 20, 3<T<33,…

A: The solution is given below

Q: Consider the following function. f(x) = 1 |x - 51 (a) Find the critical numbers of f. (Enter your…

A: You must have idea how to find critical point of any function. By using those value you need to find…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: The angle between 0 and 27 in radians that is coterminal with the angle 14 5 Tin radians is

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Use a parameterization to find the flux SSF. S plane x+y+z=5a that lies above the square 0≤x≤a,…

A: We have to find the flux

Q: Determine whether the series converges or diverges. 00 3″ 3 + 50 n = 1 The series converges by the…

A: Solve the following

Q: cosh(In2)= A B C D 5 4 0 Alw Some other answer

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Q: I need a box with a square base and an open top that can hold 500 in What is the least amount of…

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Q: A solution of a DE identical to zero, that is, f (x)=0 for all real x in a given interval is called…

A: A solution of DE identical to zero,that is f(x)=0 for all real x in a given interval is…

Q: 2. Suppose that the position of a particle is r(t) = (cos(nt), ² sin(nt), t), 0≤t≤ 2n. A. Calculate…

A: Understanding of derivative while finding velocity and acceleration from position vector is…

Q: Test the series for convergence or divergence. (-1)^+1 n+8 n=0

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Q: Find the solution of the given initial value problem: y(4) + 2y” + y = 11t + 6; y(0) = y′(0) = 0,…

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Q: etermine the rule on the flow diagram 56 7 9 11 72 88

A: Concept: Flow diagram: An action sequence, system movements, and/or decision points are visualized…

Q: Evaluate the iterated integral below. TU /4 1 *** s y cos (x) dy dx 0 0

A: We need to find out the double integration.

Q: 5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a.…

A: Given half life of Krypton-85  is   t1/2=10.76 years

Q: critical points

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Q: Verify Green's Theorem for: f4y³dx-2x²dy where C, oriented anti-clockwise, is composed of the…

A: To find the integral ∮C4y3dx-2x2dy where C is the positively oriented closed curve x2+y2=9, y≥0 and…

Q: Find the limit. lim (x,y) →→ (37,6) 5 sin y

A: We can find the answer as below

Q: You are planning to make an open rectangular box from a 38-in-by-75-in. piece of cardboard by…

A: This question is based on application of derivative.

Q: If P(−4, −56) is a point on ?(?) find the equation of the secant line PQ. Given Q is a point on…

A: Here we have to find the equation of secant line PQ.

Q: (b) If ƒ : [0, ∞) — R is continuous on [0, ∞) and F(x) = Then show that ª (x − t)ƒ(t)dt, x ≥ 0. ď² F…

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Q: Suppose you use Newton's Method to approximate a solution for f(x)=x³-4 with an initial guess of Xo…

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Q: 1) Evalúe a) csch (In 3) b) cosh (0)

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Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

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Q: Find the solution of the given initial value problem: y(4) + 2y""+y" + 8y′ − 12y = 6 sin(t) + 80e¯t;…

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Q: Find the radius of convergence, R, of the series. x4n n (In(n))² R = 00 Σ n = 2 Find the interval,…

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Q: Evaluate the integral and interpret it as the area of a region. 6 •π/2 19 sin(x) - 9 cos(2x) dx

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Q: 7. Use the method of Lagrange multipliers to find the volume of the largest rectangular box in the…

A: Given question :- Find the maximum volume of rectangular box that can be inscribed in this ellipse.…

Q: A parametrization of curve describes the specific time and location of a particle moving along the…

A: To sketch the curves xt=t2-4, yt=t2 for -2≤t≤3 and xt=4t2-4, yt=t for -1≤t≤32 and evaluate their…

Q: Solve the given DE y'= X - x 3 — 2y 3 3ху 2

A: We have to solve the differential equation

Q: How did he get the value (jw) ² x 10) = Uw)² x1w) = w2x/m) 1 inside the circle wa) A е (b-a) [ (@jwb…

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Q: (+²+ 2) y² - 4 ty=4t, y(0) = 3

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Q: Find the vector component of v = (4,-1,7) along b = (4,4,-7) and the vector component of v…

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Q: Consider the following differential equation to be solved by variation of parameters. 4y" - y = ex/2…

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