Suppose that x² + y ² dy dx (1) Use the method of implicit differentiation to dy find dx = = . 82. (2) Find the equation of the tangent line at the point (x, y) = (3, 1). The equation is y =

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A: given y=3sin(2x)5cos(4x)

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Q: Question 6 Let a be a constant and let Then (a) f is continuous at 0 only if a = 0 (d) f'(0) exists…

A: f is continuous at x=a if and only if limx→a+ f(x) = limx→a- f(x) =f(a) .

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Q: Question 8 Let h be differentiable at 4 with h(4) = −1, h'(4) = 1. Let f(x) = x³h(x²) for all x.…

A: Given that h is differentiable at 4 with h(4)=-1, h'(4)=1.Letf(x)=x3h(x2)We need to calculate f'(2)

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Q: Find div F and curl F if F(x, y, z) = 9eyi-7 cosyj+9 sin² z k. div F= 9 ey + 7 sin(y) + 9 sin(z) X…

A: To find div F and curl F if Fx, y, z=9exyi-7 cos yj+9 sin2 zk.

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Q: Find the limits as x→ ∞o and as x → -∞ f(x) = 4x³ - x4 lim f(x) = X-8 lim f(x) X→18 =

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Q: Find the limits as x → ∞ and as x → ∞o. (I y = (2-x)(1 + x)²(1 − x)4 lim f(x) X→∞ = lim f(x) = 8118…

A: y=(2-x) (1+x)2(1-x) 4

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Q: charge is distributed over the triangular region D shown below so that the charge density a (x, y)…

A: We are given with the triangular region  D so that charge density at (x,y) isσ(x,y)= 4xy  To find:…

Q: Prove: Proof: lim x 0 (x² cos (²7)) = 0. COS

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A: *As per the guidelines, first three subparts are solved. Kindly post remaining part separately.

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Q: For the given equation, list the intercepts and test for symmetry. y=(-4x)/(x^(2)+40)

A: list the intercepts and test for symmetry.    y = -4xx2+20

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Q: QUESTION 5 Describe the level curve f(x,y)= In[y (x4-5x3-lnx+1)]=9

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Q: Find the indefinite integral. (Use C for the constant of integration.) 9x8 + 4 S (x⁹ + 4x)² 2 dx

A: ∫9x8+4x9+4x2dx

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Q: (1) Is the etatement 3p € Z such that Vq € Z, pq = q true or false? [Select] V (2) Is the statement…

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Q: The parametric equations and parameter intervals for the motion of a particle in the xy-plane are…

A: Answer is in step 2.

Q: Given the power series Find da ช = n=0 xn d 2n dx (₁ 1+ = x 1+ I 2 + + + 24 n=0 by differentiating…

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Q: Use the rules for sums of powers of integers to compute the sum. k Submit Question Jump to Answer

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Q: Find exactly the vector oppositely directed to v = (3) and half the length of v. < Dell IH

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Q: Find the tangent plane to the equation Z= 5y cos(4x - 6y) at the point (6,4,20)

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Q: Question 7 (a) e (b) 1 (c) e² Im (²+3)*- (d) does not exist (e) none of these

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Q: Use logarithmic differentiation to find dy/dx. x² - 64 x² + 64 dy dx = y = 1 x8

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A: Given data: r = 30 cm, h=60cm, dVdt = 6 cm³/min.

Q: Let F(x) = S² sin (3t²) dt. Find the MacLaurin polynomial of degree 7 for F(x).

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Q: b) Y = -10x³ + 3x² + 4x +3

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Q: Consider the sample space represented by the integer numbers 1<=S<17. State the event that…

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A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Find two positive numbers a and b such that 2a + 3b = 1 and so that a3 + b2 is as small as possible.

A: Find  two positive numbers a and b such that 2a + 3b =1 and so that a3  + b2  is a small as…

Q: Suppose f(-3) = -3 and f'(-3) = 3. Find the following. d ((3x² + 7x − 3)eƒ(²)); dx d f(x) dx…

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