At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve, as requested. 6 +x3 =y? + 12x, tangent at (0,1) %3D O A. y= 2x+ 1 О В. у%3 3х + 1 3 OC. y= -x O D. y= - 2x- 1

Q: For Exercise, find the slope of the secant line pictured in red. 6--y = f(x) %23 (3, 4) (1,1)" ! 2 3…

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: use the grid and a straight edge to make a rough estimate of the slope of the curve (in y-units per…

A: Given Data The coordinates point at P1 is (0,0). The coordinates point at P2 is (1.1,2).   The…

Q: If y=1/x, and y1 and use this result to find the points on the curve y=1/x where the tangent line…

A: The given curve is y=1x. Its derivative is given by y'=-1x2. Given that slope of the tangent line at…

Q: Differentiate implicitly to find the slope of the curve at the given point. x^2+y^2=1; (2,3)

A: The given curve is

Q: At the given point, find the slope of the curve, as requested. the line that is tangent to the…

A: Given To find the slope of the curve , take derivative Given point is (0,1)

Q: For what values of a and b is the line – 3x + y = b tangent to the curve y = ax³ when x = 5? a = =

A: Given: Equation of curve is, y=ax3 The line tangent to the curve is, -3x+y=b at x=5. The objective…

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: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the equations of the tangents and normal to the following curves: x2 – y2 = 15, parallel to 4x…

A:

Q: At which points on the curve y = 1 +°40x³ – 3x³ does the tangent line have the largest slope? | (x,…

A: Maximize slope

Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

A: Given y5+x3=y2+12x  This is an implicit function.We need to find the slope of given curve at (0,1)

Q: Determine the slope of the line tangent to y = √² - 3 at x = 2 In case you need help inputting your…

A: The objective of the question is determine the slope of the tangent to the given function.

Q: At what point(s) on the curve x = (x, y) = 6t² + 4, y = t³ - 7 does the tangent line have slope?

A: This question is related to parametric curves and slope of tangent, we will solve it using given…

Q: For what values of a and b is the line – 2x + y = b tangent to the curve y = ax? when x = 3? - - a =…

A: Given: To determine the values of a and b is the line -2x+y = b tangent to the curve y=ax2 when x =…

Q: Find the slope of the line tangent to the curve 5x3 + 2x5y − y2 = 2 at the point (1,3) Write your…

A: Explantion: Given that: 5x3+2x5y-y2=2 Concept: slope of line m=dydx dxndx=nxn-1 duvdx=udvdx+vdudx

Q: tangent to the curve x^3 +x^2 y + 4y - 1 + 0 at the point (3,-2) has a slope equal to: a. -13/15…

A: We will find the slope.

Q: C. Find the slope and the equation of the tangent line to the 21 21 = 3x al 28. y=x²-3x+3 at (3, 3)…

A:

Q: For the function y= 9x^2+8x+4,at the point x=4, find the following (A) the slope of the tangent to…

A:

Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: find the slope of the curve at the point indicated y = 1/x - 1, x = 3

A:

Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

A:

Q: 13. Find the equation of the line with slope equal to 1 and normal to the curve x2 + 3xy +y? = 5 at…

A: GIVEN: curve is x2 + 3xy + y2 = 5

Q: b) Find equation of line passing the point ( 4, -1) and normal to 3y+ x=1. ||

A:

Q: Differentiate implicitly to find the slope of the curve at the given point. x2+y2 = 1; (4, 7) O 7…

A: The given equation is:x2+y2=1The point is 4, 7

Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

A:

Q: Verify that the given point is on the curve and find the lines that are a. tangent and b. normal to…

A: Substitute the point (-3,-1) in the given equation.

Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

A:

Q: At the given point, find the slope of the curve, the line that is tangent to the curve, or the line…

A:

Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

A: As asked we can answer the question with out all explanation in the following steps

Q: Differentiate implicitly to find the slope of the curve at the given point. 3-y3=D5; (3,5) %3D 0 2…

A: We have to find the slope of the curve at the given point. For this we will find derivative dydx…

Q: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

A:

Q: For what point on the curve of y = 9x - 2x is the slope of a tangent line equal to - 38? The point…

A:

Q: For what point on the curve of y = 5x + 6x is the slope of a tangent line equal to - 44? %3! The…

A:

Q: For what point on the curve of y = 7x + 4x is the slope of a tangent line equal to - 66? The point…

A: y = 7x2  +  4x     ..........................................(1) slope of tangent line = -66 slope…

Q: Differentiate implicitly to find the slope of the curve at the given point. xy +x= 2; (1,1) OB. -2 1…

A: dy/ dx =  slope at  any point (x,y)

Q: Find the slope of the tangent line to the curve y 5x at the point (-7, 245). A 70 25 -7 -70 E) 7

A: As we know that; The slope of the tangent line to the curve at a given point Px,y is equal to the…

Q: At what point on the curve x = 3t2 + 4, y = t³ – 6 does the tangent line have slope ? (x, y) = ( 3,…

A:

Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

A: Now when x = 3, we get Therefore the point (3, -4) is on the given curve. a). Slope of the tangent…

Q: Determine the equation of the curve whose slope at any point is equal to and which passes through…

A:

Q: find the slope of the curve at the point indicated y = x - 1/x + 1, x = 0

A: Given, y=x-1x+1 and the point x = 0

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: Find the equation of the line normal to x^3 + y^3 = 6xy at (3,3)

A: Given, x3+y3=6xy

Q: Find the linear velocity of a point moving with uniform circular motion, if the point covers a…

A: From the data: s=45 cm t=5 sec

Q: What is the equation of the line that crosses the y-axis at 2 and h. a unit rate of ?

A: We have to find the equation of the required line. The required line crosses the y axis at 2, that…

Q: The equation of the tangent line to the curve x2 + y? = 64, at (5,-13) is. 13 (x – 5) + 13 y = y =…

A:

Q: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…

Q: Find the slope of the curve, equations of the tangent and normal lines to the given point. y = x3 –…

A: We have to solve the problem

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. x? + y? -…

A: