Consider the function f(x, y) = In surface at the point (2,1). + x². Find the equation of the line perpendicular to the

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A: Here we have to find the function.

Q: File Edit Format NOTE: View BIU Given the DE (y sin x - cos2 x) dx + cos x dy = 0: • Determine…

A: We have to find the following conditions according to the given differential equation

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A: See this solution in below..

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A: Given the differential equation cosx+y+1 dx+cosx+y-sin y dy=0:a To identify whether the differential…

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A: Given: v(t) = 3t2 -12t +9       time period = 0≤t≤2   The distance traveled during this time period…

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A: Given, x-y+z=6 -2x+3y-3z=-15 -3x+4y-z=-27

Q: At x = -2 the function y = +2 true 5 is differentiable but not continuous falco

A: This question can be solved using the concept of continuity and differentiability

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Q: Rewrite csc 70 in terms of its cofunction cac 70°- (Type an exact answer Simplify your answer. Type…

A: topic- cofunction We are given , csc(79)°andcos2π7We know thatcsc(90-a)=sec(a)cos(90-a)=sin(a)

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Q: Consider the family of curves given by 4x² + 3y² = c². (a) Use implicit differentiation to express…

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Q: 1. Given vectors ū(-3,2,6) and (4,1,5) determine the angle between ū and v

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Q: Find the indefinite integral. (Use C for the constant of integratio t [F:8* dt + 81 X

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Q: Determine the type of DE (select all that applies): y'=x - 4xy Exact Linear None of these Separable

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Q: Evaluate the slope at the point (2, 0) for: y² + sin(y) = 3x² - 12

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Q: Find the derivative of the function. y' = y = 6-3x Need Help? Read It Watch It

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Q: 5. Suppose a is a positive real number. Determine the area of the triangle enclosed by the line •…

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Q: 4. For each differential equation and function x₁(t) given in parts (a)-(c), x₁(t) is a solution to…

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Q: What is the maximum slope of the curve y = 6x^2 - x^3

A: Given: y=6x2-x3

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A: Given data:- I(u)=45.4u-1.54-1 u=9 and du=-0.8,

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A: Given query is to find horizontal asymptotes.

Q: Find r(t) and the velocity vector v(t) given the acceleration vector a(t) = (8e¹, 16t, 14t + 4), the…

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Q: Find the solution: (cos y) y' (t) = sin² tcost, y (0) =

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Q: Find the indefinite integral. (Use C for the constant of integration.) [² Need Help? 8 - ex e5x dx…

A: Given : ∫8−exe5xdx

Q: Evaluate f O 3√x+1 2 (x+1)² 2 O 3(x+1)² 2 dx 1+ 3√x+1 +3√x+1+C +√x+1 − 3 ln|√x+1+1| + C + 3√x + 1 +…

A: Given, ∫11+x+13dx

Q: Consider the family of curves given by 4x² - 7y² = = C. (a) Use implicit differentiation to express…

A: As nothing is specified, I take it that you want to get answer to part c.

Q: Evaluate: fcos In(sin 0 + 4) de O sin In (sin 0 + 4) - 2 cos 0 + 3 ln sin 0 + 4] + C O None of these…

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Q: +(x) = 2x² √x + x ²7 - -

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Q: Determine the type of DE (select all that applies): 3x³y¹=2y (y-3) Exact Linear Separable None of…

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Q: 1 sin x x² dx

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Q: ·∞ 3 dx In x (Hint: In x ≤ x.)

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Q: The marginal cost of the xth box of light bulbs is In(x + 1) (x + 1)² and the fixed cost is 15…

A: Given Marginal cost function is Mx=10+lnx+1x+12 and fixed cost is 15 dollars.

Q: If y = O 2-3' then -12 (2-3)² 12 dy dx

A: To find derivative of given function.

Q: 3n+1 ²n=1 4n²+n-2 Determine the convergence or divergence. Σ-1

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Q: Let y = sin(4x). If Ax = 0.2 at x = 0, use linear approximation to estimate Ay Ay~ = Find the…

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Q: Given the differential equation (ysinx-cos²x) dx + cos x dy = 0 b. Solve the general solution of the…

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Q: Let f(x) = = Then f'(x) = The equation of the tangent line to y = f(x) at a = π/6 can be written i…

A: See this solution in below.

Q: 2. Determine the direction angles for vector w = (-3,-4,12) (ehem 2) Sairie er to vilinolev…

A: Given query is to find the direction angles.

Q: Find the intervals where the function y = |a +11-1, whose graph is given below, is increasing and…

A: Given data:- The given function is, y=x+1-1

Q: Given the differential equation (ye^tanx sec^2 x - 1) dx + e^tanx dy = 0: a. Identify whether the…

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Q: Find the maximum volume of a cylindrical soda can such that the sum of its height and circumference…

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Q: Question 4 xy' - (1+x) y = xy²

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Q: Find equations of both the tangent lines to the ellipse  x2 + 9y2 = 81 that pass through the point…

A: y = 81-x23 y' = -x381-x2

Q: 1 ns a) y = -x4q-omantics is now maxs oris no viiperib zmolizoup on lis 19war ni bobned od reum…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Make a sign diagram for the derivative of the rational function. 64 f(x) = ---Select-- ✓ O -10 -10…

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Q: dy Use implicit differentiation to find. dx dy dx || In(xy) + 8x = 25 X

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Q: Compute the length of the curve ?(?)=5??+8??+(7?^2−5)k over the interval 0≤?≤2.

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