Given: y' + y = y²(cosx - sinx)and y(0) = 2, Find C OA0 OB. 1/4 O c. 1/2 OD. 3/4 ⒸE. None

Q: Leta = (5₁5) and b=<3₁-5) SO Why that Ba Sa+t6=<-4₁-207 S= +=D]]

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Q: Given that; f(2)=2, f'(2)=3 g(2)=6, g'(2)=4 Calculate the following (fg)/2= (f/g)'(2)= (g/f)'(2)=

A: Please see the below picture for detailed solution.

Q: Let f(x) be a function defined on [0,1], such that f(0) = 0 and f(1) = 1 . Which of the following…

A: Option (1) and (2) are correct

Q: Calculate the derivative t4 d dt et √4 + x² dx ←

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Q: A plane takes off at an angle 6° from the horizontal. Given that the plane is traveling at 530 mph…

A: I am attaching image so that you understand each and every step.

Q: 6. Consider the surface in R³ defined by x² + y² - 2z² + 6x - 8z = 7. (a) This surface is a quadric…

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Q: 5. A tank contains 2,000 liters of brine. Brine containing 5 N/liter of salt flows in at 10…

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Q: Consider the function f(x,y) = x² - 2y² - 6 and the point (1, -1). a. Find the unit vectors that…

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Q: Evaluate lim 1+ h→0 1+ h² if it exists. If it does not exist, enter DNE.

A: See this solution in below.

Q: A closed box is in the shape of a rectangular solid with dimensions x, y, and zin inches. Suppose…

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Q: X Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

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Q: The graph of f is given. (a) Find each limit, or explain why it does not exist. (i) lim f(x) x→2+…

A: Note:- These are multiple question. According to company rule we can do maximum 3 sub parts so i am…

Q: Given that f(x) (a) (f + g)(3)= (b) (f - g)(3)= (c) (fg)(3)= (d) (-) (3)-[ = x² - 7x and g(x) = x +…

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Q: Evaluate the given limit algebraically, if it exists. lim-0 sin 8x 6x-2x³

A: limx→0sin8x6x-2x3

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Q: Differentiate the given function using the appropriate rule(s). Here is the inverse trig function…

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Q: Question Determine whether the series below is a geometric series, a p- series, an alternating…

A: The given series is cos(pi n)/(6n), n from 1 to infinity.

Q: 2. Given that f(x) dx = 6,ƒ(x) dx = 3 and ¹₁ f(x) dx = -1, 1/³ + f(x) 2 find + 6 dr.

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Q: Find f'(9) if f(x) = 7x² +6x + 2 √x f'(9)=

A: we know, ddx(xn)=nx(n-1) for any real n

Q: dy Given x²y + xy = 3, use implicit differentiation to find da da dy da da da = = 2xy + 1 x² + x 2xy…

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Q: Question & Determine which of the following tests would be best to use to determine the convergence…

A: Solution: ∑n=1∞1ln(n) Applying Integral test If there exists an N≥k so that for all n≥N, f(n)=an is…

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Q: Calculus Find the standard deviation of the scores: 5.5.5. 8. 11. 11. 11. Round to tenths A) 2.8 B)…

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Q: Find all roots of the polynmial equation 2x to the fourth - 7x cubed +18x squared - 42x +36 =0

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Q: Evaluate the following integrals and state that they diverge or converge.

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Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east…

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Q: Consider the following system of equations 3 2 7 -2 4-5 1 0 4 x₁ = x = - and the following…

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Q: Question 1 Given: y' + y = y²(cosx - sinx)and y(0) = 2, Find C OA.0 OB. 1/4 OC. 1/2 OD. 3/4 O E.…

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Q: A company has $10,890 available per month for advertising. Newspaper ads cost $130 each and can't…

A: Given that  The total money available per month for advertisements is $10890.  Newspaper ads cost…

Q: Given 2y-√x-z+2√-5y-4z = -5, calculate Provide your answer below: || dz dx

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Q: What is the IF, that can be used to solve the equation ty' + (2-4t)y = et cos 2t) OA. OB. μ(t) OE. =…

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Q: Solve the given polynomial. Use the rational zero theoram and descartes rule of signs as an aid in…

A: I am attaching image so that you understand each and every step.

Q: Consider the following function. t(x) = (x − 4)² + 7 Step 3 of 4: Find two points on the graph of…

A: Given that t(x)=(x-4)2+7-(i)Our Aim is to find two points on the graph of the parabola other thanthe…

Q: The graph of the function f(x) = x³ is translated horizontally to create g(x). If the point (4, 8)…

A: We can solve this as follows:

Q: Find the derivative of the function. 9 5-2 +8√x x5 h'(x) = h(x) =

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Q: If f(x) = cos x f'(x) = ƒ' (3) = 5 tan x, then Question Help: Video Message instructor (round to 3…

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Q: Find the absolute extrema of the function over the region R. (In each case, R contains the…

A: We have to find the absolute extrema.

Q: Given 2y-√x-z+2√-5y-4z = -5, calculate Provide your answer below: || dz dx

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Q: 0 -3 -2 -1 0 1 2 3 f'(0) 0.9 0.3 1.6 0.9 -1.3 0.7 1.9

A: A function is said to be increasing around a point where its derivative is positive and it is said…

Q: Use logarithmic differentiation to find the derivative of the given function. = (3x² +7²)² (x−³ −…

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Q: The parametric equations of a cycloid generated by a circle of radius a is given by dy d²y x =…

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Q: Find the stope or the tangent line to the curve - 2x² - 1xy + 3y³ = 0 at the point (-4, 2). -18 39 X

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Q: Find the indefinite integral. (Use C for the constant of integration.) √³x (3) dx Need Help? Fland…

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Q: The radius and height of a right circular cylinder are measured with possible errors of 4% and 5%,…

A: Given the radius and height of a right circular cylinder are measured with possible errors of 4% and…

Q: Let f(x)=√100-2². Use a linear approximation to f at (6,0) to approximate f(6.1). Your answer must…

A: Given function f(x)=100−x2

Q: Divide using long division. State the quotient q(x) and the remainder r(x) 8x cubed - 5x squared +…

A: Solution- Given Dividend=8X3-5X2+9X+2 Divisor = 8X2+3X+5 remainder =? quotient q(x)=?   by Long…