lim x++∞ COS X log logi x

Q: Find two positive integers such that the sum of the first number and four times the second number is…

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Q: 31. (a) 32. (a) 33. (a) 34. (a) ₁12x-11dx • S²₁₂ √2+ |x|dx 2+ |x| L₁ let |e* - 1|dx *) ₁²³-1-15|dx +…

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Q: Solve the given differential equation. All solutions should be found. (4y³ + 2x²y) dx - (3xy² + x³)…

A: Use the substitution method and solve the differential equation.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find all Max., Min., Saddle point for the functions. below: f(x,y) = x²y²-2x9 +6

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Q: Find the limit. 3 lim x-6 5x + 2

A: we have to find limit

Q: D4 − 1)y = 0 -

A: Topic:- solution of differential equations

Q: The force F (in pounds) on a person's back when he or she bends over at an angle from an upright…

A: The given model is: F=0.6W sinθ+90°sin(12°) where W represents weight of the person in pounds.

Q: If y=7x²y+z³ +yz² A = y³ z² e^5x a_x + 4x4 zcosy a_y+ 2x4 CosySinz a_z. Find the following at point…

A: Given, ψ=7x2y+z3+yz2A=y3z2e5x ax+4x4z cosy ay+2x4cosy sinz az           Note: The expert is supposed…

Q: Consider the function y=x³ - 9x + 4. a. Sketch the graph of y= x³ – 9x + 4. b. Find and describe the…

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Q: 2. Show that F is a conservative vector field and then use that fact to evaluate SF. dr along the…

A: We need to show F is conservative vector field.

Q: For the function f(x) = x² + 7, find the equation of the tangent line at x = -1. Answer: Submit…

A: Let's find.

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1. lim 1+1/3 x-12x²+x-1

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Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

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Q: Find fa, fy, and fz. f(x, y, z) = 3z ln (x³y³ cos(2z)) fx= fy= f₂ = =

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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: our answers.

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Q: -10 -10 8 61 0

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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'y dx² d²y + dy dx 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: 5. (a) Find the exact value of sin (20) given that sin (0) = 3/5 and 0 is in quadrant II. (b) If cos…

A: Given problems:- 5. (a) Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in…

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: fx-²dx

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Q: Convert the polar equation to rectangular form. r = 5/1+sin(theta)

A: Note that, the rectangular(cartesian) to polar conversion is given by: x=r cos θ, y=r sin θ And, the…

Q: Change the polar equation 2r = 2 + cos 0.(2r - 1) to Cartesian equation

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

A: Given data÷

Q: Replace the polar equation r. sin (0+ 1 (0+²) = 2 to Cartesian equation

A: See the details solution in below

Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

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Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2exycosy + = C 21² 3…

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Q: 1+tan x

A: We have to find the integral.

Q: 8 sin 8. Then sketch the curve.

A: The correct curve of r = 8 -8sin(θ) is  Option (C)

Q: Replace the polar equation r = 5 csc 0 with an equivalent Cartesian equation. Then identify the…

A: The given polar form of the equation is: r=5 csc θ

Q: The graph y=f(x) is given; transform the graph y=f(x) into y=2f(x+1)

A: Given: Line passing through 0, 0, 4, 4:  y=x    {0≤x≤4}The equation of the curve is y=x-52+3…

Q: Resonance is not a phenomenon

A: answer is in next step

Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Radius 5 2√3 4

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Q: For each of the following integrations, choose the method that can be used to find its solution.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A: Let's find.

Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 3 P3(x) =

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

A: answer is in next step

Q: Watch help video Answer all of the questions below about the function f(x) graphed below when x =…

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Q: Solve the following differential equations of d²y dy dx² +==X dx

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Q: An open box is to be made out of a 12-inch by 14-inch piece of cardboard by cutting out squares of…

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Q: Find the equation of tangent plane to the surface z = ln (3x²) + 2y at A (1,0, In (3)).

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Q: Integrating Factor by Inspection: 3. xdyydx = 3x²(x² + y²)dx

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Q: 1. (1 - ху)ý + у2 + 3xy3 = 0

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Q: Find the Maclaurin series centered at c and the interval of convergence. 12) f(x) = 1-2x 13)f(x) =…

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Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle 8. sin(8) - 1…

A: Using the properties of trigonometric functions we find the given values

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: (D² − 3D + 2)y = 2e¯* +8

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