Find the derivative of the function. y = sin-¹(6x + 1) y' =

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A: Given vectors are Let

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Q: 5 545 Slope = m 2 7 -7 -6 -5 -4 -3 -2 -² ₁ -3 4 -5 -6 Find the slope of the line. 3 4 5 6 a Enter…

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Q: When writing the following linear system of equations in the matrix form A 421 + 3x2 = 5 -3x1-x2 =…

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Q: Let f(x) = x²e11x (a) Find the critical values of f(x). (Enter your answers as a comma-separated…

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Q: Find the derivative of the function. - (+)² +9 h'(t) = h(t):

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Q: Differentiate. f'(0) 11 f(0) = 0 cos(8) sin(8)

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Q: dy Given that x²y + 7xy³ − x = 1, find dx dy dx || by implicit differentiation.

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Q: 12. Let E be the region between the ellipses 4x² + y² = 1 and 4x² + y² = 9 and in the first quadrant…

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Q: that y (A) --4 sec² (4)=8 (C)=2 sec² (4) = 4 the secon (B) (D) - - dx²x= = 4 sec (4) sec (4) tan (7)…

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Q: Let f(x, y) = sin(5x - 6y) Find the first and second partial derivatives of f. Evaluate f(x, π),…

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Q: Find an equation of the tangent line to the curve at the point (1, 1). y = In(xex, y =

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Q: In this question you will use integration by parts twice. Consider the integral I = | cas (4 x) cash…

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Q: 6. §13.1. Q52. Sketch the level curve z = k for the specific values of k, where z = f(x, y) = y/x.…

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Q: 2. §13.3. Q8. Evaluate the indicated partial derivatives. (a). & (rev15ay). (b). (zers).

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Q: Recall that the volume of a sphere is given by V= r³. The radius of a spherical balloon is…

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Q: x

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Q: Find the derivative of the function. y = etan(e) y' =

A: find the derivative of the given function

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Q: Consider the following. X y 1 2 2 6 (a) Find an equation of the least-squares line for the data.…

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Q: 21. xy = 7; (1,7)

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Q: Differentiate the function. f'(x) = f(x) = In(cos(x))

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Q: Use implicit differentiation to find ď²y dx² = d'y dx² if 3y + sin y = x.

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Q: If ƒ"(x) = x²(x − 3)(x + 5)³ then ƒ(x) has a point of inflection at Select one: a. x = -5₂ x = 0 and…

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Q: If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f '(1). f(1) = -28 X

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Q: Which of the following statements must be true? Select one: O a. If f'(4) = 0, the then f(x) has a…

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Q: Find the maturity value of a $60,000.00 investment at 3.75% p.a. if it is invested for 5 months.

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Q: Find the derivative of the function. y' || 1-¹(x - √√ ₁ + x²) 1 y = 9 tan

A: Given that a function y(x). y=9tan-1(x- √(1+x2)) we find derivative of this function y with respect…

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Q: Utilize the definition of the derivative to prove that (sinx) = cos x

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Q: IV CALCULATIONS; ROUND TO THE NEAREST WHOLE NUMBER Order reads: Ancef 1 gm IVPB in 50 mL D5W in 30…

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Q: For time 0 ≤ ≤ 10, a particle moves along the x-axis with position given by x(t) = t³-77² +8t+5 What…

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Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

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Q: Let r(x) = f(g(h(x))), where h(1) = 2, g(2) = 3, h'(1) = 5, g'(2) = 3, and f(3) = 6. Find r'(1).…

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