3. Find the grea bounded by the corve y= the line x=4 and the x - axis

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A: Here given curve  by2=x+a2

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Q: Find the area bounded by the curve y=-x³ 16 (A) 8 square units B) 4 square units C) 16 square units…

A: Take the integral of the first curve minus the second curve.

Q: Which of the following regions have the same area? I. The region enclosed by the curve y = |x2 − 1|,…

A: Part (1):- Given curves are  y=x2-1,  the lines x =0 and x=2 and the x-axis. Area = ∫01 -x2-1dx +∫12…

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Q: Find the length of the curve y 2ln(x) from x 1 to x =4. %3D

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Q: d. Find the slope of the tangent line to the graph of x +y + xy 3 at (1, 1).

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Q: 3. Find the points where tangent lines are vertical or horizontal: x³ + y³ = 6xy

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A: xy2=4 Differentiating with respect to x, we get…

Q: Determine the slope of the tangent line of the curve y = x+4 at x = 7. O 14 O 28 O 21 0 7

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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Q: Ħ! Find the equation of the tangent line to the graph of f(x)= and is paralle I to the line x+2y=6…

A: A parallel line will have an equal slope.

Q: Show that the square of the length of the subtangent at any point on the curve by2=(x+a)3 (b is not…

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Q: show that the sum of the x-intercept and y intercept of any tangent line to the curve x1/2+…

A: Consider the given equation of curve, x+y=cddxx+y=ddxc12x+12ydydx=012ydydx=-12xdydx=-yx Therefore,…

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A: Given curve is y=x242≤x≤4   Axis of rotation is y axis

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A: We find the dy/dx then we find the slope at a point (h,k) by plugging x=h and y=k

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A: For horizontal tangent,first derivative must be zero

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Q: find the value of c that the line y=3/2x+6 is tangent to y=c(sqr-root x)  c=

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Q: 46. Show that the sum of the x- and y-intercepts of any tangent line to the curve Vx + Jy = \c is…

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Q: y = 3x?+1 ; (0,1)

A: Solution ) slope of the tangent line by the limit definition = m = (dy/dx) [ x = 0 becuase we have (…

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A: Given: y=4x+6,  0,5

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Q: 2х — What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the…

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Q: . Find the slope of the tangent line to sin(z – x) + y° cos.x = y at( А. 4 В. -1 С. О D.

A: This is the final solution of given question.

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A: We will prove it as following.

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Q: The area bounded by the curve y = 6z and the lines a = 5 and z= 8 above the T aris is 234.00 square…

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A: Consider the circle, x2+y2=25 find the equation of the tangent line,…

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Q: 3 Find the area bounded by the curve y=-x3- 16 A) 8 square units (B) 10 square units C 4 square…

A: The region is bounded by the curves y=116x3-34x2+3x and the line y=x

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