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Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: On solving this we will get

Q: 10 8 6 4 cp 2 근 -4 9 co 8 10 X

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Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

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Q: 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank…

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Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: b. ·(b³ + a³) units³ 3 d. -b³ + a³) units³ 16. The arc length is defined as if y=f(x) is a smooth…

A: We have to find the arc length of the curve y=f(x).   According to guide line we solve only one…

Q: To say that x + 5| ≤ 3 is the same as saying is in the closed interval [A, B] where A is: and where…

A: The objective is to find A and B.

Q: Find the solution of the given initial value problem in explicit form. 1 y′ = (1 — 13x)y², y(0) = 6…

A: We can solve the given initial differential equation .

Q: a) Find the growth rate. The growth rate is b) Find the population after 9 yr. The population is…

A: The population p of a small city is given. We have to find the growth rate of population.

Q: 2.) Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

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Q: 13. The graph of y = f(x) and y = g(x) are shown below. g(x) 6 (a) (b) f(x) 2 10 -2 Find h'(9) if…

A: Explained below

Q: Find the cross products uxv and vxu for the the vectors u = 3i-j-2k and v=i+2j-3k.

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Q: Find the unit tangent vector T(t) at the point with the given value of the parameter t. 2t r(t) =…

A: In this question, we want to find the tangent unit vector of r(t) at t=0.

Q: Q4:B/Simplify Moivre's theorem? [cos 30+ i sin30 15 [cos 0-i sine 1³ [cos 50+ i sin50 ] [cos 20-i…

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Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

A: The function z=fx,y=x2-xy+y2 subject to the constraint x2+y2=8

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

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Q: Calculus I Find the second derivative.

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Q: Determine the law limit applied in solving lim 3 = 3. t-1 A. Limit of an identity B. Limit of a root…

A: Solution ) limit of a constant  limx→a b = b  limit of x tending to any value is value of the…

Q: Find for THREE of the following functions: dy dx 1-y)+In(cos(x)) + √ 2-y=2(cos(x))

A: To find dydx:

Q: B)Solve the differential equation = x - y. dx

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Q: 1 (c) I Y (d) y = 5x x², y = x = 0, y = 1, y = e I=

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Q: Determine the orientation of the concaves of the following function

A: See the answer below

Q: Find the arc length of the curve y = 2/3 (x − 1)3/2 on the interval [2,3]

A: Arc length is given by the following formula

Q: Solve the given differential equation by separation of variables. xdx = 2y y =

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Suppose that the piecewise function f is defined by Determine which of the following statements are…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: Solve the given differential equation. All solutions should be found. dy 3x² - 7y - y³ = dx 7x +…

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Q: dy dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the…

A: To find whether given differential equations are which one of the following in the given options.

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: 1 A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is…

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Q: (b) y = e, y = ²x, x=0, x= ln 2 1 (c) x = =, x = 0, y = 1, y = e Y (d) y = 5x - x², y = x (e) y =…

A: Using vertical strip

Q: Q31 Find the value of Q, where Q = M/N. " 6 3 1 M= 7 -2 4:07 1. Add file 1-3 4 1 91 3 7 TO N=1 3 L2…

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: Using exact equation as given below:

Q: dx It see ax a) x + 1 (cot ax- csc ax) + c 6) x + 1 ( cot ax + μc ax) + c c) x + £ (cut ax + cac ax)…

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: Find the limit. (If an answer does not exist, enter DNE.) x + 7-8 lim X→ 57 X - 57

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Q: 1) a car is slowing down at the rate 0.8 ft /sec², How the will the can move before it stops if its…

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Q: 2) Find the oneer bounded by x = 3y²-9, x = 0, y = 0, y = 1 a) 8 b) 6 c) 4 d) wone of the above

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Q: Follow the steps below for the given function. xy5y - 8 = 0 Solve the equation for y. y = 8 x-5…

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Q: 1. S x4+a4 dx x3 2. Jydy √a2-y2 3. I cos2tdt (1+sin2t)4 4. I tanßsec2ßdß 5. [(tan) – 1)2d0

A: We have to find  the value of given intregation.

Q: A company can produce LCD digital alarm clocks at a cost of $6 each while fixed costs are $50.…

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Q: Q:3) A) Test the following surface for maxima minima and saddle point: Z=5+xy+x²+2y+3x

A: See this solution in below

Q: Find the solution of the given initial value problem. ty' + 2y = sint, y = 1, t> 0 Y ||

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

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

Q: Find the derivative of the function. f(s) = √5-1 √5 +3 Choose the correct answer below. 2 O A. √5…

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Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y — y³ dx 2x + 3xy²…

A: This question is related to differential equations, we will solve it using given information.

Q: 3) Suppose f (x, y) is a differentiable function. a) If (a, b) is a critical point of f (y) (in the…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.

Q: Differentiate the function. G(x) = (x³-8). G'(x)= 2 x + 25 x²-25

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