Q: 5, S₂(4 - 2x)dx
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Q: TRIANGLE METHOD: 600 NON and 8 =35 m 3 1. Given two vectors A = 70 m 60° N of E and B = 35 m 30° S…
A: I am attaching image so that you understand each and every step.
Q: Find the exact length of the curve described by the parametric equations. x = 5 + 6t², y = 3 + 4t³,…
A: Find the length of the curve x= 5+t2 ,y= 3+4t2 , 0<=t<=1 .
Q: Find a differential equation for y=c1e^9t +c2e^-4t. Oy"+5y'+36y=0 Oy"-5y'-16y=0 Oy"-5y'-36y=0…
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Q: Given the sequence Of (n)=2+2 Of (m) = 2 + 1/ n Of(n)=n+: 1+n Of (n)=3--1/ = 21/1, 23, 2441... what…
A: Use sequence concept
Q: (A) Estimate the area under the graph of f(x) = 3x³ + 4 from a = -1 to x = 4, first using 5…
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Q: Write an equation for the parabola shown to the right. The equation of the parabola is. (Use…
A: consider the equation of parabola is y=ax2+bx+c
Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…
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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…
A: The region is bounded by the curves, x=y2+4y, x=0
Q: Given f"(x)=e^x with f"(0)=6, f'(0)=2, then f(x)= ? + C Note that your answer should not contain a…
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Q: Find the accumulated present value of a continuous stream of income at rate R(t) = $140,000, for…
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Q: Determine the domain of the following function f(x) = x²+x-6
A: Topic = Functions
Q: Solve for PS: y"+7y'-8y=0;x=0,y=0,y'=1 O y=9e^-t-9e^-4t O y=1/3e^-t-1/3e^8t Oy=3e^t-3e^2t O…
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Q: An investment of $14,000 is growing at 4% compounded quarterly. a. Calculate the maturity value of…
A: An investment of $14,000 is growing at 4% compounded quartely.
Q: Consider the function ƒ(x) = 5x³ – 4x on the interval [−5, 5]. (a) The slope of the secant line…
A: Given, f(x)=5x3-4x
Q: Find an equation of the tangent line to y = 8x tan(x) at x = -2. 3 (Use symbolic notation and…
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Q: 6. Determine the point of inflection on the curve defined by y=x³ + 5. Show that the tangent line at…
A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: A marshy region used for agricultural drainage has become contaminated with a particular element. It…
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Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…
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Q: Complete the table below for each of the functions given: f(x) = x(3x-4) f(x) = 5x² - 6 f(x) X -1 -3…
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Q: 34. Compute the surface area generated when the first quadrant portion of the curve x² - 4y + 8 = 0…
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Q: The fifth torm of a goomotric corios is 405 and the sixth torm is 1215 Calculate the sum of the…
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Q: 2) Find all the second-order partial derivatives of the functions: a. f(x, y) = tan-¹ b. h(x, y) =…
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Q: Which of the following is the domain and range of the ellipse with equation x² + 4y²2 - 2x + 16y-…
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Q: C) Use the Chain rule to find () (). For the following functions: (1) u=xy-1 where: x = e-2r cos-1 r…
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Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…
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Q: C) If f(k)= k√a² - k² + a² sin-¹ df prove that -¹ (1) 2√a²k²,a is constant. dk
A: Use derivative concept
Q: axy + z³x - 2yz = 0.
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Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…
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Q: Question 10 Find the partial derivative of z with respect to x (8) f ах (22−y) = Əz C dz 2(x-y) 2²…
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Q: How does the partial derivative relate to the limit of a function of two variables?
A: Solution
Q: Solve the following problem by the two-phase method: Maximize -₁ - 2x2 subject to 3x₁ + 4x₂ ≤ 12 X1…
A: We need to maximize the value.
Q: For the equation, find ay evaluated at the given values. dx x² + y² = xy + 28 at x = 6, y = 2
A: The given equation:x2+y2=xy+28We need to find dydx at x=6, y=2.
Q: An employee earns $48,000 in the first year with a company. Every year, the annual salary increases…
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Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…
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Q: 2. Find the inverse of the function given below. Specify the domain and the range of the inverse.…
A: Given function, f(x)=3-2-xThat isy=3-2-xReplace x and yx=3-2-yAdd 3 on both sidex-3=-2-ySquaring on…
Q: #15) Determine y' a.y=sin 2x b. y = x² sinx co y = sin(-x) Determine #16.> d.) y = cos x sin x e-> y…
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Q: Evaluate by interperting in terms of area, Find the area 4 I 15x-31dx
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Q: na tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is…
A: We use here properties of triangle to find the angle between spectator and hole
Q: Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c)…
A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…
Q: Find the particular anti derivative that Satisfies the following conditions dy 4x +3 ; y(1) = 8 dx…
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Q: Find the value (1) lim (x,y)-(2-3) (3) lim (xy)-(11) √x-√√y of the following limits: x²-2xy + y²…
A: As per the instruction, post the question again for question (5). For (1), limx, y→2,…
Q: Sv Evaluate Select the correct response: O 2x² + 15x² + C 52² ²x² +10x³ + C 25³ +2²0 x ² + 3 O 5…
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Q: Find the solution of the differential equation that satisfies the given initial condition. dL=kL2…
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Q: In reference to the following function: f(x) = x^2 + 7x + 13 / x + 4 What is f’(x)?
A: Given problem:- f(x) = x2 + 7x + 13/x + 4 Find:-f’(x)?
Q: The gradient of the function 2x1 + x2-3 evaluated in x = (0 0 0) is: OA. Vf = (1 2 3)T OB. Vf=(0 0…
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Q: sin² (x) x…0 COSX-1 7) lim cotx + CSCx X-T 5) lim cosx+1 6) lim X-7 sinx 8) lim(--)
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Q: Use the Chain Rule to find the derivative. y = cos (e40) (Express numbers in exact form. Use…
A: Given.
Q: 1) An ostrich runs along a mountain path with coordinates given by r(t) = a) What is the change in…
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Q: 4. The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…
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