For what value of x will the curve y = x3 - 3x2 + 4 be concave upward?

Q: Determine the values of x where a curve y = x3 - 3x2 - 9x+ 12 has horizontal angent lines.

A: Given,         y=x3-3x2-9x+12

Q: Q4) Determine slope of a curve y = x* +1 at x = 1

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Q: What is the slope of the tangent line of y = 3x- 2x2 + 2x -5 at x = 0? A. 2 B. -5 C. D.

A: Given equation of the curve is y=3x3-2x2+2x-5   x=0 find slope of the tangent

Q: What is the slope of the tangent line that touches the graph of In(y) + e2* -'=3y – 4x at the point…

A: Given that:  lny + e2x-1 = 3y-4x We find slope of the tangent line at point (1/2,1) . Here i…

Q: Find the slope of the curve Y = Vx at the point P (4, 2).

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Q: Find the point on the curve y2 = ;(x+1) which is nearest the origin.

A: We have to find the point on the curve y2=52x+1 which is nearest the origin.

Q: Find the point on the graph of y = 3x2 − 2x + 5 where the tangent line is perpendicular to the line…

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Q: For the curve y=ax^3+bx^2+12x-7, what values of a and b will make the tangents to the curve at x=2…

A: Solution is here

Q: Find the slope of the curve x2 + y3 = 2 at each point wherey = 1

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Q: The slope of the curve y =x' + 3x² – 4x+5 at (1,5) is O a. 0 O b. 2 O c. 5 O d. 4

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Q: Find the equation of the lines tangent to the curve x2 + y2 = 4 and parallel to the y-axis ?

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Q: f(x) = x², with 0 < x < 6

A: Length of the curve y=f(x)  from   x=a to x=b   is give by  L=∫ab1+dydx2 dx

Q: The slope of the curve y- xy- 3x = 1 at the point (0, -1) is а. 1 с. -1 b. 2 d. -2

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Q: Determine slope of a curve y = x³ + 1 at x = 1

A: Given,           The slope of the curve y=x3+1  at x=1.

Q: Find the point on the curve y2 =;(x + 1) which is nearest the origin.

A: If (x, y) is any point on the curve nearest the origin then the square of its distance from the…

Q: Find the point on the curve y2 =(x+1) which is nearest the origin.

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Q: For the curve y=ax^3+bx^2+12x-7, what values of a and b will make the tangent to the curve at x=2…

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Q: Find the equation of the family of curve whose slope at any point (x,y) is (x+1)/(y-1)

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Q: 2. Find the slope of the curve at the point indicated. a. y = 5x – 3x²,x = 1 x-1 b. y =,x = 0 x+1

A: Find the slope

Q: Find a possible point of inflection of the curve y x +3x2 + 6x

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Q: After Identifying and sketching the curve for x2+25y2-4x+100y + 4 = 0, partimize the curve

A: Given: x2+25y2-4x+100y+4=0 To Find: i. Identify and sketch the curve.ii. Parametrize the curve.

Q: Determine the slope of the curve x2+ y2– 6x – 4y – 21 = 0 at (0, 7).

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Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangents…

A: To determine the x-intercept of the curve and slope of the tangent at the intercept.

Q: For the curve y = ax3 + bx2 + 12x -7, what values of a and b will make the tangents to the curve at…

A: given  y=ax3+bx2+12x-7a=?b=?

Q: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

Q: The slope of the curve when x=e is y = (In 2x)?

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Q: Find the exact lenght of the curve. when 0 is less x and x is less than or equal to 1 y=2+2x3/2

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Q: The slope of the curve y = (5x² + 8x + e)eje at x = 0 is

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Q: The equation of the tangent line to the curve +y =64, at (6,-12) is 12 y=D (-6)+12 6. 6. 12 -6) – 12…

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Q: Find the slope of the curve x^2 + y^2 - 6x + 10y + 5 = 0 at point (1,0) * O 1/5 O 2/5 O 1/4 2 O O O…

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Q: Find the slope of the curve at the given point. 2y5+9x9=7y+4x at (1,1)

A: The given curve is,

Q: Find the slope of the curve at the indicated point. y = x2 + 3x - 5, x = 2 O m = 7 O m = 2 m = 10…

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Q: If the slope of an arbitrary curve y=f(x) at a point p0(x0, f(xo)) is S. So do you think the slope…

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Q: Find a point on the curve y = x2 that is closest to the point (18; 0)

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Q: ) Find the slope of the curve x +y3- 6x²y = 0 at x = 1

A: Slope of a curve: For non- linear functions, the rate of change varies along the given curve. So,…

Q: f(x) = + 3, X with 0 < x< 3

A: The length(arc-length) of the function is given by: L=∫ab1+(f'(x))2dx

Q: Find the x-coordinate of the point where the curve y = x3 - x crosses the horizontal line y = 1.

A: Given:                                 y=x3-x and y=1  Let                                y=x3-x…

Q: For the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at…

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Q: Find the length of the curve defined by y = 4x3/2 + 11 from x = 2 to x = 8.

A: We will differentiate the function and use the arc length formula.

Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

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Q: Find the slope of the tangent line to the curve - l2? – 2ay + 4y³ = - 249 at the point (1, – 4).

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Q: ind the lenght of the curve y= 3/5x5/3-3/4x1/3+6 for 1 inferior or equal of x, and x inferior or…

A: We need to find the length of the curve.   So the Length of The Curve Y = 3/5 X^5/3 -3/4 X^1/3 + 6…

Q: f(x) = + 2x' with 1 < x< 2

A: Given: fx=x36+12x with 1≤x≤2

Q: What is the slope of the tangent line to the graph of y = x3 – 4x + 2 at point (2, 2)? %3D А. 1 В. 4…

A: Given function, y=x3-4x+2Diferentiate w.r.t.…

Q: For what value or values of the constant k will the curve y = x3 + kx2 + 3x - 4 have exactly one…

A: Given curve is y=x3+kx2+3x-4. A curve have exactly one horizontal tangent  at x=a if f'a=0.…

Q: Determine the slope of the curve x2 + y2 – 6x – 4y – 21 = 0 at ( 0, 7 ).

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Q: Find the equation of the family of curve whose slope at any point (x,y) is 3x^2+4

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Q: Find the slope of the curve x3y3 + y2 = x + y at the points (1, 1) and (1, -1).

A: Given,

Q: The equation of the line that is tangent to the curve y=2x3−6x and is perpendicular to 18y+x+3=0…

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