Determine the derivative of the ff. functions. 5. y = 3 tan 3x, 2nd derivative 6. y = 6 csc x, 2nd derivative %3D 7. y = 4 e2x, 4th derivative

Q: If f(x, y) = (17x - y)3, then is given by: af dy (17x (17 – ) 13 - 18 (17x 13 - - 13 Y)2 – ) 18 (17x…

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Q: The shaded region shown below is bounded by the functions f (x) = -2x² + 0.75x + 4 and g(x) = 1.5x +…

A: The shaded region shown below is bounded by the functions fx=-2x2+0.75x+4, and gx=1.5x+2 and the…

Q: The coefficient of sin(x) in the antiderivative of F(x) = cos is Blank 1 (use fraction form not…

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Q: sets or parametric equations and symmetric equations of the line that passes through the given point…

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Q: The coefficient of Ssin(x) in the antiderivative of is 15/32 (use fraction form not decimal no…

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Q: Consider the following function and express the relationship between a small change in x and the…

A: Given; fx=e3x And dy=f'xdx   ...1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule:…

Q: dx 3+x4

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Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

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Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9999…

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

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (9, 3) a = b =

A: This question is based on vector form.

Q: Calculate Hhe fourier coeffrecents Of the fancdion fR) over the nderval -スと×L2 here: Fx)=(0,-2くメCー…

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Q: 1. (x*+6y*)dx – 4xydy=0

A: The given DIFFERENTIAL EQUATIONS is x2+6y2dx-4xydy=0 ...................... (1) This is homogeneous…

Q: 3-4 3. - find A-! L i As

A: Given query is to find the inverse matrix.

Q: dy xev-x*); y(0) = 0 %3D dx

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.701 and y =…

A: Let's find.

Q: If the population of a country doubles in 50 years. In how many years will it triple under the…

A: Let P be the population of the country at time t.

Q: 8. y = Jcos x – 4 sin(1 + x3

A: To give what is asked. To find dydx. To show the solution. y=cos x-4 sin1+x13

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The…

A: N(t) =N0 ekt  ...(1)N0 =260N(1)=260 ekN(8)=260 ek8N(8) =2 N(1)260 ek8 =2*260 eke8k =2 eke7k =27k =…

Q: Evaluate: Ssin(/x)dx A 2x sin(/x)-2cos(Vx)+C B 2/x sin(x)+2cos(x)+C 2sin(x)+2/xcos(/x)+ C D…

A: Using substitution and integration by parts,

Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos°(x) for x = 0.994 and y =…

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Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at…

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Q: Current Attempt in Progress A compact disk spins at a rate of 200 to 4000 revolutions per minute.…

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Q: Find the angle e between the vectors in radians and in degrees u = cos()i + sin()i, v = cos( )i +…

A: Answer as follows

Q: Find f(x) if f' (x) = 3x – 2x + 3 and f(2) = 15. - f(z) = Preview %D

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Q: Find the derivative of: 6e 1* cos( – 7x). [Hint: use product rule and chain rule!] Use e^x for e".…

A: Given query is to find derivative and equation of the tangent.

Q: Differentiate the function: a) f(x) = e10z–2» = el003-2x b) f(x) = Vª + 2 c) f(x) = (4x7 – 2x*)5

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Q: Obtain the der a) cos(xy)=2y, find y'

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Q: 5* = e*+4 %3D Round your answer to two decimal places. i

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Q: 5. What limit law best applies to the problem lim x = C. Limit of a product D. Limit of a quotient…

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Q: Obtain the derivatives (as specified) of the following functions: EDIFICE 191 a) cos(xy)=2y, find y'…

A: To find the derivative of given function.

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A: Given that there are 3 boys and 2 girls to sit in a row. A certain boy and girl must sit next to…

Q: An jet travels horizontally at a speed of 500mph at an altitude of 3 miles above the ground. A…

A: We need to find the rate at which the angle of elevation is changing.

Q: The integral of the given function f- (9- dr Arcsin +C b.+ Arcsin + C c. -- Arcsin +c d. None of the…

A: To find the value of a given integral we use the substitution method

Q: thea calcudeator to lach to the near1sk thousandth tHog124 20) 10gs 10.818

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Q: 4. y = 5 cos 4x, 3rd derivative

A: Since we are given with the multiple number of question answered according to the guideline

Q: Let x = 0.29 and y = 4.03. Determine the value of C when you evaluate tan(2x)dx.(Use 2 decimal…

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Q: d 4) (1+ x)* = (Logarithmic differentiation) %3D

A: Given, d/dx (x+1)x We can find it by substitution method

Q: 1. (x+6у?)dx - 4хydy-0

A: Given problem:- (x2 + 6y2 ) dx -  4xydy = 0  Solve the given differential equation

Q: A closed rectangular box is to have a square base and a volume of 40 ft3. y Letting x denote the…

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Q: Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x = 0.106 and y =…

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Q: Find the exact area of the surface obtained by rotating the curve about the y-axis: y = 3 + 5x2 ; 3…

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Q: Solve the equation (3a^2+3m^2)da - 6amdm=0  What's the value of C

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 18) 3 v = 6 O parallel O…

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Q: Determine the order and degree of the differential equation y' + y" = sinY O 1st order, 4th degree O…

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Q: Consider a differentiable function f(x) :[-, →R such that f' (x) = 32? – 3 and f(0) = 1. Which one…

A: We need to choose correct option.

Q: B. Evaluate the limit of a function using the co indeterminate forms. 6x2-7x-3 1. lim 2х-3 X- V2x-…

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Q: dy y(ln y – In x +1) dx 1 C = -In None of the choices Option 1 1 C = -In C = -In- -ln Ontion3 Ontion…

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Q: -y cutting away identical squares from each corner of a rectangular piece of cardboard and folding…

A: Given : v(x)=4x3-48x2+140x.

Q: Of all rectangles with area 25, which one has the minimum perimeter? Of all rectangles with area 25,…

A: We will find the dimensions with the minimum perimeter.

Q: Applications of Differential Equations A certain radioactive material is known to decay at a rate…

A: Let's find.