sE Differentiate the funchon: fex)=40 WIr equation y=ax+ bx + c that has வழது slope 4 at x = 1, slope -8 at x = -1, and passes through the point (2, 15). 111

Q: a particle moves along a curve y = (2x² + 5x)°, calculatey (0) and what is the interpretation of the…

A: Let us considre the function y=f(x) The derivative the function is denoted as dydx=f'(x) Derivative…

Q: the sloper of the curve 2y2=ax2+b at (1,-1) is -1.Find a,b

A: 1) Find dydx at the given points to find the value of 'a' . 2) Now satisfy the point (1,-1) to the…

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

A:

Q: The circle whose equation is ((x+3)^2)+((y+4)^2)=17 and the line whose equation is y= 4x+25 are…

A: Given query is to find the the point of tangency.

Q: Find the image of the line x = 1 under (a) flz) = z²

A:

Q: Find distance between point A(1,3) Perpenclicular on the line L: 2y =2 +X

A: Use the following formula: The perpendicular distance from the point A(x1,y1) to the line ax+by+c=0…

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

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Q: The slope 'mi of the tangent to the curvez= 3(5t+1)*andy=10+2 at t=2is,

A:

Q: What is the maximum vertical distance between the line y = x + 51 and the parabola y= x² over the…

A: Given: The line y=x+51 and the parabola y=x2 To find: Maximum vertical distance between given line…

Q: Assume every secant line of the curve y = f(x) has slope at least 3. Then every tangent line of the…

A: Given: Every secant line of the curve y=fx has a slope atleast 3.Then every tangent line of the…

Q: What is the slope of the curve y = x2 (x + 1)3 at (1, 8)?

A:

Q: Where on the curve y = (256 + x²) * does the have the greatest slope? %3D NOTE: Enter the exact…

A:

Q: What function should be used to minimize the distance between, y = 3x2, and the point (0, 2)?

A: y=3x2,  0, 2.

Q: Find the slope of the tangent line to the curve - 3x + lay+ 3y = 199 | %3D | at the point (1, – 4).

A: We are given a curve and we need to find out the slope to the tangent line at the point (1,-4). For…

Q: What is the slope of the secant line that passes through the points(a, f(a)) and (b, f(b)) on the…

A: Given: The secant line passes through the points a,fa  and  b,fb. Concept used: The slope of a line…

Q: The antiderivative of a constant is the family of lines.

A: Let y = mwhere m = constant

Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. 4x² + 9y =…

A:

Q: 2. Estimate the slope of Ix) at the point: a) where x = 3 b) where x = 2 YA fx) 4 3 2 1 2 3 4 5 6 1.

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Q: 5. In y = x2 -5 at (V5, 1)

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - -2, and the line 4…

A:

Q: Is of both lines through the point (-2, 6) that are tangent to the parabol

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Q: What is the ALGEBRAIC RULE for REFLECTION over the line y = x? (х, у) —

A: This question is related to reflection of coordinates, We will solve it using given information.

Q: Find the length of the curve defined by y = 3z3/2 - 3 from x = 3 to a = 9. The length is

A:

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

A: The area between curves y=f(x) and y=g(x) on an interval [a, b] where f(x)≥g(x) on the interval is…

Q: A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form…

A: Given curve y=x3-2    ;   (2,6)

Q: Find the point on the line y = 3x + 5 that is closest to the origim %3D (x, y) = %3D

A: We have to solve

Q: gion shaded in light blue is bounded by two curves, y = (x – 1)? + 33 (in dark red) and z+ 3)² + 1…

A: We will find the area between the curves.

Q: 3) Calculate the length of the curve interval [-2₁2]. y = x²/2 on the

A:

Q: find the point p on the line y=5x that is closest to the point (78,0). what is the least distance…

A:

Q: A few years ago, there were light sabre battles. What is the distance between two light sabers given…

A: Solution of this question is

Q: Show that the slope of the secant line for f(x) = x 3 - 2x over[5,x] is equal to x 2 + 5x + 23. Use…

A: Given: y=fx=x3-2x; 5,x we know that slopem of secant for any given functionfx over a,b is given by…

Q: Find the length of the curve 9y2=8x3 from x=o to x=12 when y>0

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Q: The line through the origin whose projection on the xy-plane is a line of slope 3 and whose…

A: In this type of questions we assume a line an points on that line. Suppose we have a line and points…

Q: Describe the traces of the curve x2 + 9z2 = 9 in the vertical planes (those parallel to the…

A: The traces of a surface are the cross-sections created when the surface intersects a plane parallel…

Q: what point/s (x,y) on the graph of f has/have the property that the line tangent to f at (x,y) has…

A:

Q: What is the slope of the secant line that intersects the graph of h(x) = 16 – z at z = l and a = 4?

A: The slope of the secant line or any other line can be defined as the rise to the run ratio which is…

Q: Find the point P on the line y=3x that is closest to the point (40,0). What is the least distance…

A:

Q: i am so confused on the slope and perpandicular and paralell lines like its so hard and i cant get a…

A:

Q: 03) (Answer only two ): 4- Find the distance between the curve ( y=x+4) & line 0=x-4)

A: According to our guideline we can't solve multiple questions. so please repost the question…

Q: At what exact point on the curve y = 9 + 2ex 5x is the tangent line parallel to the line 5x – y = 4?…

A:

Q: What is the slope of the tangent line to the graph of the solution of y'= 7√y + 3x³ that passes…

A:

Q: Write down the slope, of tangents of circle x +y2 =25 parallel to order 3x- 54 +8=0

A:

Q: . What is the slope of the line tangent line to the curve x?y = y? – 6x when x=2?

A: This question is taken from the tangent and normal in which we have to find the slope of the tangent…

Q: Hw: Al-z,0), B(210), (slope of Am) - (slape of Bm) = -, what's the trajeebory of m?

A: Given, A (-2, 0) and B (2, 0) (Slope of AM)*(Slope of BM) = -1/2 Let's assume, The coordinate of…

Q: Find the tangent lines to curve x² + 2y2 = 9 that is perpendicular to line 4x – y = 6? %3D

A: Given the equation of line is 4x-y=6.   Rewrite the equation in slope intercept form. y=4x-6   Thus,…

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

A:

Q: What is y = _ + x3 1 curve x = 1 and x = 2 the length of the part 12 х between the abscissa points?

A: We find dy/dx using the power rule

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

A:

Q: Find the length of curve along y = x² from (0,0) into (2,4).

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Q: What is the slope of AC in right triangle ABC shown in the standard (x, y) coordinate plane above?

A: Given,         A right triangle ABC is shown below :