Find the following limits 5x³-2x²+9 (a) limx→ 4-x3 8

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Q: f(x) = x³-4x² + 3x +1 find the minimum point O (-2.22,-1.11) O (2.22, 1.11) O (2.22,-1.11) O none of…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: Find the exact length of the curve. x = 4 + 6t², y = 5 + 4t³, 0≤t≤2

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A: Given f  be a  one one and onto  function

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Q: 6. lim f(x) dne, lim_ f(x) = 0 x+1+ x → 1- and f(-1) = -1

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Q: At what points on the given curve x = 4t³, y = 5 + 24t - 14t² does the tangent line have slope 1?…

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Q: You are given the graph of a function f. يجا concave upward x Determine the intervals where the…

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Q: Let y = tan(2x + 7). Find the differential dy when x = 5 and dx Find the differential dy when x = 5…

A: Given that y= tan(2x+7)   we have to find the differential. we know,   d(tanz) = sec2z dz

Q: (c) Find the total distance traveled by the body from t = 0 to t = 2. Total distance = 8 m

A: here we have to find the total distance.

Q: Find the interval of convergence of 27" (x-2)+2 (Use symbolic notation and fractions where needed.…

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Q: 3. (x + y - 6) dx + (x -y + 4)dy = 0.

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Q: 3. FILLING A COFFEE POT—A coffee pot in the form of a circular cylinder of radius 4 inches is being…

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Q: S JO e¹4x 4+e7x dx

A: Please see the below picture for detailed solution.

Q: Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. Σ ( − 1)n…

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Q: Use differentials to approximate the number ✓ 3.022 +1.972 + 5.992. (Round your answer to five…

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Q: ind an equation of the tangent line to the graph of the function f at the specified point. 2 f(x) =…

A: Given query is to the equation of the tangent.

Q: 4. L{4cos 2t - 5sin 2t} 5. L-¹ { 3/(s² - 7) } 8 2 3s² + 12 5 6. L-¹ { - C-LC + 3 S49 - } 7s

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Q: Let ƒ(x) = (x+4)²

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Q: 4. y(4) + 17y" + 72 = 0.

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Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = ex,…

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Q: Let y = 3x² + 5x + 2. Find the differential dy when x = 3 and dx = 3 and dx = 0.1 Find the…

A: To find the differential with given values of x and dx.

Q: Could you explained how you got x+1/sqrt(x^4-x) is greater than x+1/sqr(x^4)???

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Q: Let Then dy dx = y = tan-1 √4x² - 1)

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Q: implicit differentiation to find: dx/dy​ (x)(y) + 2x2 = y Note: I know the answer is y' =…

A: Given query is to find Indicated derivative.

Q: Let f(x) = In[x(x + 4)5(x² + 6)⁹]. Find f'(x). f'(x) =

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Q: 5 find the area y = sin 10x₁ * x = 0, Xx = 5/410 y = cos 5 x, y =

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Q: Answer the following questions for k(x) = 2 x³ + 3 x² + 2: (a) The derivative at x = −1 is k'(-1) =…

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Q: ∫((dx)/(2 (√(x+3)) +3)

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Q: etermine if the pairs of vectors below are "parallel", "orthogonal", or "neither". a = (3, 5, -5)…

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Q: f(x)=4+4x−4x^2 find the equation of the line tangent to the curve f(x)f(x) at x=2 The tangent line…

A: Given query is to find the equation of the tangent.

Q: Find the derivative of the function f'(x) = f(x) = √x² + 8 2 x²-8

A: If f(x)=g(x)h(x) then the derivative of f(x) is calculated using the…

Q: It is estimated that t years from now the population of a city will be P(t) = 10(70+ 3t)² - 1700t.…

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Q: How do I find the intervals for these two questions based on the graph? Where is g(x)>0?  Where is…

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Q: 10. Suppose we have the second order linear the differential equation. d²x dx dt² where x(0) = 5,…

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Q: Find the derivative of the function. F' f(u) = (6u + 6)³/2 + (4² - 2)-3/2

A: Given function:- fu=6u+632+u2-2-32