A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

Q: (i) Find equations of the tangent plane and the normal line to the given surface at the specified…

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Q: 니 - ****** سر ** x² coscyldy dzdx

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Q: itial condition that the point (0, √2 + 1) is on the

A: We have to choose the correct option from the given options according to the given information

Q: UT 5 4 3 2 1 Find lim f(x) 3 05 2 04 O Does not exist 2

A: Given

Q: Use Lagrange multipliers z = f(x, y) = x² − xy + y² to find the absolute maximum and minimum values…

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Q: 1. Determine whether the series n=1 3n+1 ln(n+1) is convergent or divergent.

A: : since,1< ln(n+1),for n>2 so, 0<(n^2)/(((3^(n+1))*ln(n+1))<n^2/n^4=1/n^2,  since…

Q: rectangular plot (the fourth side is a er and will not require fencing). Find the dimensions of the…

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Q: 10s²+17s+12₁ S³+27 L-¹1²

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Q: Solve the given initial-value problem. Give the largest interval I over which the solution is…

A: We have to find the solution and the interval.

Q: Let f be the function defined as follows. y = f(x) = √5x + 5 (a) Find the differential of f. dy = X…

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Q: وسلام ax x2 ل ے- ل

A: Given :∫-4-2dx-x2-6x-5

Q: Culator. A particle is moving with velocity v(t) = 1²- 9t+18 with distance, s measured in meters,…

A: The objective is to find total distance travelled.

Q: for the volume below...if Cylindrical Shell method was used ...What are the limits of integration? *…

A: use cylindrical shell method   V= ∫ab2πrh dx   where r= radius of cylinder             h = height of…

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

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Q: Q4: A conical tank with Diameter of (2 m) from the top and (5 m) height. At the bottom of the tank…

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Q: 10. Show that there is a root of cos(x): = in the interval (0,7). TT Do NOT find the root. Explain…

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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: 3 7 Scot³x c₂c²³x dx - esc X

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Q: Gym A Gym B Total Monthly Cost vs. Number of Visits C Number of Visits Total Monthly Cost 10 55 70-…

A: Linear cost

Q: Identify and sketch the graph of y = r²+1 in R³.

A: Topic = Parabola

Q: ९२ e 17 olx

A: ∫1e2(1-x)/dx2x here integration is given  ∫1e2 dx/2x - ∫1e2 dx/2 (1/2)[lnx]1e2 - [x/2]1e2 (2-ln1)/2…

Q: 1. Let A = 24 12 -40 20 and consider the linear system = AY. Let Y(t) be the solution 5 What is the…

A: answer is in next step.  i can answer only one  question as per guideline thank you.

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

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Q: The following limit gives the derivative of a function f(x) at a point xo: lim h→0 (2+h)³-8 h -8)…

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Q: 3- اول ** X 2 Sin² Lys y

A: Follow the procedure given below.

Q: Suppose you have just poured a cup of freshly brewed coffee with temperature 93°C in a room where…

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Q: 16. True or False: (a). Every element in a cyclic group (G) is a generator of G. (b). A group (G, *)…

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Q: For x² +4²³-1=0, find the targent at (3,-2)

A: We can solve this as follows:

Q: Find the derivative of the function. g(x) = (sech(7x))² g'(x) =

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Q: C

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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: Q1) find the critical point of the following equation - g(x, y) = x² + y² + 2xy − 6x - 3y + 4

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Q: Find y. x³y³ + 3x = 8y³ +1

A: Given: x3y5+3x=8y3+1

Q: Solve the given differential equation by separation of variables. dy xy + 3x - y - 3 dx xy - 2x + 4y…

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Q: Solve the following initial value problem using Laplace transforms. d² y dt² -9y=4e³¹; y (0) = 0,…

A: d2y/dt2 - 9y =4e3t; y(0)=0, y'(0)=-1.

Q: Find y'. tan(x + y) = x + y

A: Solution ) tan ( x + y ) = (x + y ) Differentiate with respect to x d/dx tan ( x + y ) = d/dx ( x +…

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: temperature function satisfies Tx(2, 3) = 1 and T,(2, 3) = 3. How fast is the temperature rising on…

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Q: B)Convert 20= tan¹r to cartesian.

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Q: 2- Find xyz dV where D is the region with -1 ≤ x ≤1, x ≤ y ≤ 1, above z = x, and below z = y + 2. D

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Q: Solve the given differential equation. All solutions should be found. dy 3x² - 4y - y³ = dx 4x +…

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Q: Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x =…

A: Given P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4 - 5100 P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4

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

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Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

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Q: Solve the following system of linear equations: X₂-5x₂+x3 = 2 If the system has infinitely many…

A: The given system of equations,        x1-5x2+x3=2

Q: Determine the area of the region enclosed by the curves y - 3x = 2 and 2x² - 4-2y = 0. Do not…

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Q: Solve the given differential equation by separation of variables. dp = P - p² dt et+c P = _t+c X

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Q: Where is the function f(x) below discontinuous? if z 2 Choose all answers that apply. f(x) is…

A: This question is related to limit and continuity, we will solve it using given information.

Q: A person standing close to the edge on top of a 48-foot building throws a ball vertically upward.…

A: To find the maximum hight of the ball.