cos (a + 8) y= dy Find da dy Immum dx Type sin(x) for sin(x), cos(x) for cos(r), and so on. Use x^2 to square x, x 3 to cube x, and so on. Use ( sin(x))^2 to square sin(x). Do NOT simplify your answer.

Q: x? – 3 -dx x +1 Evaluate

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Q: Find the average value of the function g(x) = xe *in the interval [I, 4].

A: We know that average of the function in the given interval is the ratio of the integral of the funct...

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: We know that the trigonometric identities; 1). sin2θ+cos2θ=12). sin2θ=2cosθsinθ And ∫1ax+bdx=1alnax+...

Q: If two objects travel through space along two different curves, it is often important to know whethe...

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Q: Find the general solution to / + (xy)² = y²e%* .

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Due to depreciation, the value of an automobile t years after purchase is f(t) = ((900 + 6t / 1+0.5t...

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Q: Given g(x) - √3-2x, find g(1/2+Δx) - g(1/2) / Δx

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Q: The figure below shows the graph of a function over the closed interval -25xs2. Complete parts (a) t...

A: Topic:- calculus

Q: Solve the following initial value problem: (1+x²)y/ – 2xy = (1+x²)², y(1) = 6. %3D |

A: Given:     1+x2y'-2xy=1+x22             ,           y1=6

Q: For the function 0 < x < 4 = 4 2x – 4, -2, f(x) = x2 – 8x + 20, 4< x use algebra to find each of the...

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Q: QUESTION 3 ху Let f(x.y)= x2+y lim f(x.y) along the path y=mx. for any constant m. Find (K.y)- (0,0)...

A: (3). f(x,y)=xy3x2+y6

Q: 1 5 e dx 2メ

A: Given: I=∫15e2x2xdx We know that; ∫c·fxdx=c·∫fxdx Where, 'c' is the constant. And ∫eax+bdx=eax+ba+C

Q: h(x) =x tan (2/x) + 8

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Q: Evaluate the integral (@) = / cos (0) + sin(20) – 3 cos(0) sin (0) + 3 cos2(0) + 2 sin(0) COS de 3 H...

A: Evaluate the integral 

Q: What is the critical point of the function f (x) = cos x?

A: what is the critical point of f(x)=cos(x)? for critical point, f'(x)=0

Q: Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

A: (0,1,3)    L=x=2t, y=6-2t, z=3+t

Q: a. lim f(x) b. lim f(x) x→4+ c. lim f (x) 1. x-4 X→4-

A: Given query is to find indicated limits.

Q: Solve the following DE, using Separable method. y'In ly| +x*y =0.

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Q: QUESTION 1 Which is the best descriptor of the level curves for a function f(x.v)? a. A selection of...

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Q: Starting from the first principles (lim x->a f(x) - f(a) / x - a = lim h -> 0 f(x+h) - f(x) / h), fi...

A: Note:- according to the company policy we attempt only one question so please upload the next questi...

Q: Website Profit You operate a gaming website, www.mudbeast.net, where users must pay a small fee to l...

A: We need to find profit.

Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: The given function,  f(x)=x2-3 ; 0,10

Q: Question 3 The slope of the tangent line to the graph of 4x2 + cx – 2e" = -2 at (0, 0) is 4. Give th...

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Q: I Evahuate and solve the linear differential equations (D5- 15 D3+ 10D2+ 1. GOD - 72)y = 0

A: 1. (D5 - 15D3 + 10D2 + 60D - 72)y = 0  ......(1) This is fifth order homo geneous equation. The equa...

Q: I. Directions: Choose and write the letter of the correct answer on the answer sheet provided. 1. Wh...

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Q: ' (x² +2)+4x(y² +2y+1)=0, y(0) =1.

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Q: -5 S(x) -5 -5 List any x-values at which f is not continuous. Enter your answer as a com smallest to...

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Q: Consider the following indefinite integral. 7x3 + 9x2 + 5х +6 dx x4 + 1x2 The integrand has partial ...

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Q: lim f(T) = 1, lim f(r) = – 00, I -2 f(-2) = %3D 4- 3- -5 -4 -3 -2 A1 2 3 4 -2 -3- -4-

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Q: Find (fo g)(x) and (go f)(x). 1(x) = 6x + 1; g(x) = x (fo g)(x) = (Simplify your answer.)

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Q: A tank contains 4,000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped...

A:

Q: xyz dV where E is the region bounded by = y², x² = y, z = xy y z = 0.

A:

Q: ý dy マ/2 y+16

A: Given that: ∫y2dy(y2+16)3/2

Q: Evaluate the integral į. (1 – x? – y?)dA R

A:

Q: Let z(x, y) = xy where x = r cos( 40) & y = r sin(0). dy dx ar dy dz Calculate ar dz by first findin...

A: NOTE: Refresh your page if you can't see any equations. . .

Q: Evaluate the derivative of the following function. f(x) = (2x)²x f (x) = (Simplify your answer.)

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Q: T2 - I + 11 Given the function f(T) 5x7 + 3 lim f(1) appears to be I- + 00 O DNE lim f(T) appears to...

A: The given function is  f(x)=x2-x+115x7+3

Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t²)" on the interval [-1,2] by com...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 11) sin-1 2.

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Q: (y+1)dx + (4x-y)dy =0

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Q: Given f(x) = 2x + 5 when x cannot equal 1, and f(1) = 6. a) Sketch the graph of f. b) For wha valu...

A: Firstly , we draw the graph of the given function and after that find the value of 'x' .

Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand ou...

A: We can find the derivative using chain rule as below

Q: I1+I3=I2 I2+I1=8 2I2+3I3=0 find the matrix, rref and then solve

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Q: Find the indicated derivative and simplify. 21 x f'(x) for f(x) = x2 - 2

A: solution:-f(x)=21x3x2-2using Quotient Rule;ddxg(x)h(x)=h(x)g'(x)-g(x)h'(x)h(x)2and power rule;ddxxn=...

Q: cln 10 Evaluate Jin 8 dx e – 5

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Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t ...

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt, x(0)=0...(ii),dxdt|t=0=8...

Q: Find: Ex, fxx , fy, fyy, fxy, Fyx x +y F(X, y) = X+y x4-1

A: Given that: f(x, y)=x+yxy-1

Q: 4 dx

A: Use limit comparison test and p series test

Q: D etermine if continuous f(x) = X-2 x² -14 %3D at x=2

A: Here we will check that given function is continuous at x=2 ,

Q: Solve the non-homogenous differential equation below dy 2y + x – 3 dx y+ 2х —3

A: Given that a non homogeneous differential equations and we solve by using general property of differ...