Use the guidelines to sketch the curve; y= x/sqrt x^2+1

Q: What is the equation of the tangent line to the curve y = - 2x2 +5 at (-2, 13)?

A:

Q: Find the shaded area of diagram that shecked by curve y = x2 + 2x and the line y = -x.

A:

Q: Sketch the curve.

A: To Sketch the curve. Y = (x2-4)2x-4

Q: y= x² +9

A:

Q: Use the guidelines to sketch the curve  y = 2 x2  / ( x 2  -1 )

A: For, x=0, y=0  So, the y-intercept is 0   Then we plug y=0 and find x so, x-intercept is 0.

Q: What is the equation of the tangent line to the circle x2 + y? = 34 at the point (5, 3)?

A:

Q: Estimate the slope of the tangent line to each curve at the given point (x,y)

A:

Q: Define tangency for general curves?

A:

Q: Use the guidelines of this section to sketch the curve   y =x/  sqrt( x2   +1)

A: This function can not have the denominator equal to 0, so there will be no vertical asymptote.

Q: Explain how limits arise when finding the instantaneous rate of change of afunction or the tangent…

A: The average rate of change of f(x) with respect to x as x changes from…

Q: Use the guidelines of this section to sketch the curve.   y = 2√ x    -x

A: We will make a table for the function  x 0 1 4 9 y 0 1 0 -3

Q: Find the point in the first quadrant where the line y=4x intersects a circle of radius 5 centered at…

A: Equation of circle : x-h2 + y-k2 = r2 ; where (h,k) is center and 'r' is the radius .

Q: Determine the point on the curve where the tangent is horizontal.

A:

Q: Use a linear approximation to estimate sqrt(15.8). Please make sure it is clear what function you…

A: Use a linear approximation to estimate sqrt(15.8). Please make sure it is clear what function you…

Q: Describe the curves.

A: The curve in the first figure gives zero output for negative input it is excited at once and there…

Q: At what point on the Curve x = 3t2 + 4, y = t³ - 6 does the tangent line have slope (х, у) %3D

A:

Q: midpoint of

A:

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve.

A: answer is in next step . please give a like !!

Q: The Gateway Arch in Saint Louis is modeled by the curve: y = 210 − 20 cosh ( x/30) . At what height…

A: yx = Height of the Gateway archyx = 210 - 20coshx30         Blue curve---------------------formulae…

Q: the guidelines of this section to sketch the curve: y = x+ – 8x

A:

Q: Determine point(s) where tangent lines to the curve is vertical / horizontal.

A:

Q: Use the guidelines of curve sketching to sketch the curve y = 1-x2 %3D

A: Given: y=x1-x2

Q: f(x) = (1– x)e*

A:

Q: Use the guidelines of this section to sketch the curve.   y = (4 - x2)5

A:

Q: What is the length of the curve y = sqrt(4-x2) from x = -2 to x = 1?

A: y=4-x2 Differentiating with respect to x, we get dydx=124-x2·d4-x2dx   ∵dxdx=12x=124-x2·0-2x=-x4-x2

Q: Use the guidelines of this section to sketch the curve   y =2 sqrt x - x

A: Given              y=2x-x

Q: Find the tangent line to the curve y = 2x - x? at (2,0)

A: We can find the required answer as below

Q: At what point of the curve y = 4cosh(2x) does the tangent line have slope 4?

A: y=4cosh2x Slope of the tangent line is the derivative of the given curve. So differentiating with…

Q: Average velocity is equal to the slope of a secant line through two points on a graph. Which graph?

A: Average velocity formula is:

Q: What are the coordinates of the point on the curve f(x)=4/x^2  -x where the tangent is horizontal?

A: Given:  f(x)=4/x^2  -x

Q: Use the guidelines of this section to sketch the curve. х — 6 y = x2

A:

Q: Use the guidelines of this section to sketch the curve.   y= 3√(x2  -1)

A: We need to find the x intercept, y intercept, vertical asymptotes, horizontal asymptote etc to…

Q: Describe the condition for a curve to be rectifiable between two points.

A:

Q: Question 2

A: To determine the tangent line to the curve.

Q: ind the member of the curve whose slope at any poir

A:

Q: Use the guidelines of this section to sketch the curve.   y = x √(5- x)

A: We can not have negative number inside square root So, 5-x≥0 x≤5  Let us make a table of values x…

Q: Determine the intervals of concavity and point of inflection of curve y=2x^4-3x^2+2x+1

A:

Q: Use the guidelines of this section to sketch the curve.   y = x 5   - 5x

A: We make a table with different values of x and y.  x y  0 0 1 -4 -1 4

Q: Write the application of Deravative" tangent and normal to a curve" also explain and with example.…

A:

Q: Sketch the curve y cu. = x sq.

A: Given the curve is y3 = x2 Put random value in the curve and we get the table which help to trace…

Q: Show that the curve y = 6x + 6x - 3 has no tangent line with slope 2.

A:

Q: Find the point in the first quadrant where the line y=2x intersects a circle of radius 3 centered at…

A:

Q: At what point of the curve y = cosh x does the tangent have slope 1?

A: Given curve is: y=coshx

Q: find the acute angles between the curves y=6x6-17x5-33x4-28x3 and y=95x2+79x+90 at their points of…

A:

Q: Find the differentual equatrion characterizing the family of curves described

A: Given that: ky=x2

Q: What is the slope of the line tangent to the curve  y=7cosx when x=π/4?

A:

Q: What is the equation of the normal to the curve which is a circle with center at origin and radius…

A:

Q: Use the guidelines of this section to sketch the curve. y = x/7 - x2

A:

Q: Approximate the length of the curve accurate to two decimal places

A:

Q: Find the exact length of the curve Lou

A: We have to find arc length of curve in required interval .Curve equation is shown below:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.