2): The side of a cube decreases at a rate of 6 m/sec. Find the rate at which the surface area of the cube decreases when the side of the cube is 8 m.

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Q: 1/ Find maximum,minimum,and saddle point of the surface Z = x³y³ - 12x + 3y + 12.

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Q: Of Find the general solution for the following first order D.Es? (Answer two only) sinx+cosh 2y-…

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Q: lim (tan x) cos x x-2 X-

A: This question is based on limits of 0infinty indeterminate form.

Q: 2. Find the area of the plane region bounded by y = 3x + 1, x = 1, x = 3,and the x-axis. y y = 3x +…

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Q: 1. Let f(x) = sin² (x) cos(x) g(x) = sin² (x) cos² (x) h(x) = sin²(x) cos³ (x) π Based on the graph,…

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Q: Core Laplace Which of the following represents the Laplace transform L[g] (s) So g(t)e="tdt…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

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Q: дz (B)If Z = f(x, y), x= s² - t², y = 2st. Prove that s მs 2 (s² + t²) of əx

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Q: 1. xex² dx ·6². 2.52²dx answer: answer:

A: ∫01xex2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫euduWe know that ∫audu=auln(a)=euPlug in the solved…

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

Q: 1-9 13-9 X x-h 2 3 . sin (lnx²) sinx 2-9 It cosx .dx 4-9 cotx.dx хр

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Q: Find the general solution for g(x, y) which satisfies both of the following pdes: дя = = y² cos(x) +…

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Q: ) Find f'(x) given that f(x)= 2x² + 3 x² - 5x+2

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Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

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Q: If tant -4, what is tan (t = π)? Enter the exact answer. tan (t) =

A: Given tant=49To find tan(t-π):

Q: A manufacturer's total cost equation per day is given by the equation TC = 440+4q+,00010². If each…

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Q: WA #

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Q: y = (x²+4)* Use Logarithmic Differentiation to find dy dx = dy dx

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Q: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

Q: Q5 Answer by "True" or "False" of the following questions: (four only) [6 1- If I[ A=[§__25], then…

A: Topic = Integration

Q: Solve the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

Q: Which of the following is the equation of the circle with center C and a point P on the circle, as…

A: Topic = Circle

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

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Q: Consider the region R bounded by the curves y = 2 sin(2x) and y = 0 in the interval [0,] with a…

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Q: if (1+i)(x+iy) = 2+4i then 5x is : O 15 O 10 O 5 O 3

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Q: 1.) lim 3* x-2 2.) lim (2x+¹ -3) x-2

A: Given: 1.limx→23x2.limx→22x+1-3

Q: Find the general solution for the following second order D.Es? +y=sinx (Variation of Parameters…

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Q: Example for unboundedness Min -2₁-3x2 2₁-22₂54 -2₁ + x₂ 5 3 x2 x₁, x₂ > 0 s.t

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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: A polynomial f(x) has the given zeros of 6. -1, and -3. Part A: Using the Factor Theorem, determine…

A: we have to find the polynomial whose zeros are 6 ,-1,-3.

Q: Calculus I Consider the following tables

A: We have to solve given Questions.

Q: Find the integral using the substitution u = t8. Enclose arguments of functions in parentheses. For…

A: According to question,Given integral,∫t7 cost8 dt

Q: 2. Determine the area of the region that is simultaneously interior to the curve r = 2 + cos (38), e…

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Q: Question 2.7d. Consider the linear system of differential equations Select the particular solution…

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Q: 3 -21 3 -1 The Cofactor Matrix is :- -3 0 [-3 0 12] 606 6] 36 ن من من IF A [-3 0 12] 606 3-6 6…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: }} If y cos(xy) dydx = x=0 y=0

A: Here we have to find the integral.

Q: [₁ F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 2yi + xzj + (x +…

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Q: Area of a circle C. Use definite integration to show that the area enclosed by a circle of radius 1…

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Q: Differentiate the function. (2x+5) y= (5x+1) 3 기 dx 11

A: Given:       y=2x+545x+13 differentiating with respect to x Apply the quotient rule:…

Q: he volume bounded by the function_z = f(x, y) = xy√x² - y² <10 and 0≤ y ≤8. over

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Q: ugee rnally viney * 3- 4 th D waye AB-AL-T A the perimeter of ABCD Cavulate the A DTC 3 A…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

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Q: Solve for GS/PS for the following differential equations. Write neatly and legibly and upload your…

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Q: Express as a single logarithm and, if possible, simplify. 1 log b + 3 log c 2 1 log b +3 log c= 2…

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Q: Q4A) Find area bounded by y = 0, y = √2x - x² using double integration.

A: Topic = Area

Q: Find an equation for the hyperbola described. Graph the equation. Center at (8,-1); focus at (10,-…

A: Topic = Hyperbola

Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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