To find the horizontal intercept of a function, what equation do we solve? Oy = 0 O f(x) = 0 y = f(x) O f(x) = x

Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has an x-…

A:

Q: 3. The slope of tangent line at any point (x, y) on the curve is 3x²-2x+7. What is the equation of…

A:

Q: If dy = dz, what is the equation of y in terms of x if the curve passes through (1, 1)? General…

A:

Q: (a) Find an equation of the tangent to the curve y=ex that is parallel to the line x-4y=1. (b) Find…

A:

Q: 1. Find the slope of the line tangent to the function f(x) = 7 ln(x) – 6x at the point (1, -6). %3D…

A:

Q: The graph of the implicit equation x2+3xv+4v² = 1 is shown here with lines indicating where the…

A: In this question, we find the point of intersection with the curve and horizontal tangent to the…

Q: 7. An equation of the line tangent to the graph of ƒ at the point (2, 7)is y = 4x - 1. Find ƒ(2) and…

A: Given function is fxequation of the tangent line y=4x-1tangent of the graph 'f'=dfdx=y=4x-1  ∴…

Q: (² + 1)³yy'(t) = 1(y² + 4)

A: Given:- (t2 +1)3y y'(t) =t(y2 +4)  To find:- General solution of given differential equation

Q: An equation of the line tangent to the graph of f(x) = x(1-2x)3 at the point (1,-1) is A. y = -7x+ 6…

A:

Q: f(x) = 6x, xo = 2, h =-0.2, which one in the given options is the correct approximation first…

A: image is attached

Q: 2-2 f(x) = 7x +6 Find an equation for the tangent line to the graph of f at z = 3. Tangent line: y =…

A:

Q: The slope of the tangent line to the curve y = f(x) is perpendicular to the line 3x-2y =5. The slope…

A:

Q: B) Find all of the second derivatives for f(x, y) = (3xy2 + 2xy + x²) In; x²+y² itable graph and…

A:

Q: Find the equation of the curve whose slope at any point (x, y) is given and which passes through the…

A:

Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x)…

A: We know, ∫xndx= x(n+1)/(n+1)

Q: Ive the initial-value problem for y as a function of x. (x² + 36) dæ 1, y(6) = 0

A: Given that: (x2+36)dydx=1        and  y(6)=0

Q: Find the equation of the line tangent to the graph off at the indicated value of x. 6 3 f(x) = Inx;…

A: In this question we have to find the equation of the line tangent to the graph of f at the indicated…

Q: 12. FOR THE FUNCTION f(x)=(x+2)e* WHAT IS THE EQUATION OF THE LINE TANGENT TO THE CURVE AT THE POINT…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: Solve the problem. Find where the tangent to the curve f(x) = V+1 that has slope . O x = 3 O x = 1 O…

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: a2f Solve the second derivative ду? for f(x) = tan-) 2y2 (x4-3y4) A:- (x2+y?)2 2x2 (x4-3y4) B:-…

A:

Q: The derivative of f(x) = %3D 3. 5' attains its maximum value at r =

A:

Q: A curve has an equation of y = x3 - 6x2 + 9x + 2. Find the point of inflection of the curve. а. (2,…

A:

Q: Write the equation of the line tangent to the graph of the following equation at x = 0. y = In (x5 +…

A:

Q: 10. (a) Find an equation for the line tangent to f(x) = x³ + 4x² at the point x = 1. (b) Find the…

A: Consider the following equation of curve: y=x3+4x2 Substitute x=1 in the above equation:…

Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has a x-…

A:

Q: Find the equations of the tangent line and normal lines to the graph of the function f(x) : -15x + 3…

A: Given that  f(x)=-15x+3  At x=1

Q: 36. Find an equation of the tangent line to the curve at the given point. y = Vx – x , (1,0) - 56.…

A: Given equation y=x14-xDifferenciate with  respective xdydx=14x14-1…

Q: 20. Find the equation of the curve for which y" = x, and which passes through the point (1, 2) and…

A:

Q: 12. Find the second derivative for the function f (x)=4x+12x²-20x-18 and solve the equation f"(x)=0.…

A:

Q: Find an equation of the tangent line to the curve

A:

Q: 2x + 3 The equation of the line tangent to f(x) = at x = – 2 is x + 3 y = 3x +

A: Given that function fx=2x+3x+3  To find equation of line of tangent at x=-2solutiony=fxfx=2x+3x+3at…

Q: 2x + 5 The equation of the line tangent to f(x) = at x = - 1 is x + 2

A: Given function is y≡fx=2x+5x+2    ...1 and point is x=-1

Q: 2. (A) Find the equation of the tangent line tof (x) = x4 – 98x² + 82 at x = -1. (B) Find the…

A:

Q: (a) Find an equation of the tangent to the curve y = ex that is parallel to the line x – 4y = 1.(b)…

A: A straight line passing through the point has an equation where m is the slope of the line.…

Q: f (x) = x² + 2* – 100 Solve this question by the Fixed-point method on the topic of solution of…

A:

Q: a. Find an equation for the secant line through the points where x has the given values. b. Find an…

A:

Q: Determine the derivative -d/ 4 8 +³−1 - 17x y= y = 25 x-5 x+6

A:

Q: r*y" + 31?y" =1+r

A: Consider the provided D.E,

Q: 20. Find the equation of the curve for which y" =x, and which passes through the point (1, 2) and…

A:

Q: Find the complementary function Yc, the particular solution Yp and the general solution of the…

A: Given that, y''+y'-6y=e-t+t

Q: A curve having an equation y = ax? + bx2+ Cx + d has a critical point at the origin and a point of…

A:

Q: 5. Give the graphical significance of the constant a for the equations of the form y-a(x-h)²+k.

A: We have to discuss the graphical significance of given equation.

Q: 16. The slope of the tangent line at any point (x, y) on the curve is 3x2 - 2x +7. What is the…

A:

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x? - 8x + 4 has a tangent…

A:

Q: e-Sx at the point where x = 0. Find an equation of the line tangent to the graph of y = x³+1

A:

Q: 12. What is the equation of horizontal axis of the function f (x) = 2(3 sin x + 2)? a. y = 6 b. y =…

A: For the given function

Q: Find the general solution of the equation. Express the solution explicitly as a function of the…

A:

Q: 3x + 1 The equation of the line tangent to f(x): at x = - 2 is x + 1 y = 2x +* %3D

A: To find the y coordinate , one have to plug the given value of x in the function…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.