Evaluate /1-(y-1)² by first changing it to polar coordinates. 219 dx dy

Q: Evaluate the integral of the following tabular data as shown in Table with i. the trapezoidal rule…

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Q: 1. f(u) = u³, g(x) = u = 2x¹ + 1 Find (f g)'(-1).

A: Here, the given functions are: f(u)=u3 & g(x)=u=2x4+1 Now, f∘g(x)=f(g(x))⇒f∘g'(x)=f'(g(x))g'(x)…

Q: Activity 3: Let's Evaluate! Direction: Read each item carefully then, choose the letter of the best…

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Q: 7. Determine the area bounded by y = x² - 6x + 10, x = 1, x = 5 and the x-axis.

A: Above question is solved.

Q: Question 4. Continuity Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x =…

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Q: , et ((et + 4)²-9)3/2 dt

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Q: Find the derivative of f(x) = 2x3 + 12x² +18x + 9. f'(x) =

A: To Find : Derivative of f(x)=2x3+12x2+18x+9     Note that : Derivative of xn is nxn-1

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

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Q: dy Using logarithmic differentiation, find dx NOTE: Express your answer in terms of x only. dy dx =…

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Q: PROBLEM/SITUATION: 1.) Prove that the product xy of two real numbers x and y is nonnegative if and…

A: We have to prove that product xy of two real numbers x and y is non-negative if and only if the…

Q: The population of a town grows at a rate proportional to the population present at time t. The…

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Q: Find a polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of…

A: topic- polynomials

Q: Solve the given differential equation by separation of variables. dy xy + 5x - y - 5 dx xy - 2x + 6y…

A: We can solve the given differential equation by using the variable separable method.

Q: A polynomial f(x) has the given zeros of 6, -1, and -3. Part A: Using the Factor Theorem, determine…

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Q: Use synthetic division to find the quotient and the remainder. (3x³+2x²-3x-15) + (x+2)

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Q: 1.) Sales of a particular product have been declining continuously at a rate of 8% each year. a.…

A: We need to find D.E. As per Bartleby's guidelines we can solve 1 question from multiple qn. Please…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 2. Line I has the equation y = 3x - 4. Line m has the equation y = 3x + 2. a. Graph each line on the…

A: Given line equation is in form of :               y=mx+c              where m= slope of line…

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 0 1 21 -1 23 12₂₁ +1…

A: Here is the solution

Q: 3. Which vector is not normal to the plane x+2y-3z-4=0? a) [2,-3,4] b) [-1,-2,3] c) [2,4,-6] d)…

A: which vector is not normal to the plane

Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

A: To find the size of squares cut out of the box for maximum volume.

Q: ∫x5√1+x6dx

A: Given query is to find the integral.

Q: Consider a function f that is continuous on [-2, 4] with f'(x) = 0 whenever x = 3 or x = 5. Suppose…

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Q: 2. The value of O True O False ¹/² is = √13 13

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Q: Verify that the indicated function y = y(x) is an explicit solution of the given first-order…

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Q: Let 1 9 ift < 5 B(t) = 5 √t+c ift ≥ 5. Find the value of c so that lim_ B(t) exists. t-5 -

A: This question can be solved using the concept of limits.

Q: S dt e2t 6-2e²t

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Q: (a) ƒ (t) = €²t sin (3t)

A: This is a problem related to laplace transform. Based on the general formula and concept we will…

Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7

Q: Evaluate the function f(x)= -2x+8 at the indicated values. a) Find f(3). b) Find f(-2).

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Q: Use Newton's method to approximate a root of the equation e0.22² = 6 - as follows. Let #₁ = 1 be the…

A: Given :e0.2x2=6-xx1=1

Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

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Q: (x + siny - cosy + 1) dx + (xsiny + xcosy)dy = 0

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Q: Which of the following graphs represents the function g(x) = x²(x + 1)(x − 2)? 2 4 2 * 0 4 0 O 4 2 P…

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Q: d dx [x² tan x] d sin x dx [1 + cos x] ₁ || 1 1 + cos x

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Q: If sin t = and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and tan (2 t)…

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Q: 15. Given: Th: x+y+z=0 Find: the value of 'm T₂: x+2y+2z-1=0 That a line that lies on the plane 773:…

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Q: A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: An integral expression for the area of the surface generated by rotating the curve y=√x, 0≤x≤ 1…

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Q: Find the volume and the dimensions of the largest rectangular box in the first octant with three f…

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Q: An 8-ft ladder leans against a wall at an angle with the horizontal, as shown in the accompanying…

A: An 8 - ft ladder leans against a wall at an angle θ with the horizontal. The top of the ladder is x…

Q: Question 3 (a) (b) Show that the solution y(t) of the initial value problem has the Laplace…

A: This question is all about laplace transform.  We know that laplace transforms are as  L{y"} =…

Q: 8. Determine the area bounded by x = -y² + 4y and the y-axis.

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y = sin tu(t - 2π), y(0) =…

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Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: This question can be solved using the concept of differential equation.

Q: Q6) Determine if the following integrals converge or diverge. If the integral converges determine…

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Q: Example: If w = f(x,y), find d²w dr² x = et, and y = 2t - 1

A: Here, w=f(x,y), x=et, y=2t-1

Q: A large tank is filled to capacity with 400 gallons of pure water. Brine containing 2 pounds of salt…

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Q: The Great Molasses Flood At 1:00PM on January 15,1919, an unusually warm day, a 90-ft high, 90-ft…

A: We have to solve for force exerted by the molasses.

Q: Consider the function f (x) = x-3 x+3 (a) Find the domain of f(x). Note: Use the letter U for union.…

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