(2) For h(z) = Vz+, (a) Find the slope of the tangent line when z = 4. (b) Find the equation of the tangent line to h(z) when z = 4. (c) Consider what types of answers you got for parts (a) and (b) above to fill in the bl

Q: Find the equation of the tangent line to the curve y = (2 + x)e¬* at the point (0,2)

A:

Q: Find the equation of the tangent line to the curve at (2, 1): x^2 + 4xy + y^2 = 13

A:

Q: 1. Find an equation of the tangent line to the curve  x^2 + y +y^2 = 13 at the point (-1, 3). ?

A:

Q: 2. Find the equation of the tangent and normal line of the function y+ 3xy +x = 5 at the point (1,…

A:

Q: 4. Determine an equation for the tangent line to g(x) = 3 csc(x) – 2 at a = T/4.

A: Solution :-

Q: The slope of the tangent line to the curve y^2 = 5x – 1 at P(1, 2).

A:

Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…

A: Given that: xy+1x2=2x2+y

Q: 2) Find the equation of the tangent line to the graph of x? + (y – x)3 = 9 at the point x = 1.

A:

Q: 3) Find the equation of the tangent line to the curve the point (1, 1). y²(2 – x) = x³ at

A: Given curve is : y2(2-x) = x3

Q: s) Find the equation of the tangent line to the curve y = x Vx´ +5 at the point (2,6).

A:

Q: B) Find an equation of the tangent line to the curve at the given point y = (1+ Vx)³ at x =1 ?

A: Given curve is, y=(1+x3 )3 at x=1.  The objective is to find the equation of the tangent.     For…

Q: (b) Find the equation of the line normal to the tangent at the point (1,4) on the curve x'y+ xy =…

A:

Q: Find an equation for the tangent to the curve at the given point: y= x2 + ex −e; at (1,1).

A: The equation of given curve is, y= x2 + ex −e The point of tangency is (1,1)

Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: at t=1x=ln(1)=0y=1+12=2tangent point (x1,y1)=(0,2)

Q: #1 Find the equation of the tangent line to y:R @ x- -4 Provide answer in point-slope form dy %3D

A: Differentiate at given point then use equation of line

Q: 7. Find an equation of the tangent line to the curve y = 1 y = 1+3r IVI that is parallel to

A: The objective is to find the equation of tangent line.

Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

A:

Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D

A:

Q: 8. Find the equation of the tangent line to the curve y = e* at the point (a, f (a)) when a = In 3.

A:

Q: 4. Find the equation of the tangent line to the curve y = 4+ e2 sin at the point (0, 5).

A: First find the slope at given point with the help of derivative than write the equation of tangent…

Q: 3. Find the equation of tangent line to the curve 2x – y + 3 = 0 x = t – 1, y = t³ + 1 parallel to…

A: Equation of tangent line is given by- y - y1  = m (x - x1)

Q: 4. Find the equation of the tangent line to the graph of x3-3xy+ y2 +19 =0 at the point in the…

A:

Q: 4. Find the equation to the tangent line to the curve -3 %3D at the point (x, y) = (1,2).

A:

Q: 2 Find an equation of the tangent line to the curve y at the point(0,1). (1+e¬x)

A:

Q: Fin the equation of the line tangent F(x) = xcos(x) + e^x at the point (0,2)

A:

Q: 2. Find the equation of the tangent line (in slope-intercept form) to the curve y=xvx that is…

A:

Q: 5) Find an equation of the tangent line to the curve y = 2x sinx at the point (T/2,TT)

A: Given : y = 2xsinx

Q: d the equation of the tangent line to the graph at the specified value of x. y=x√3-x², z = 1.

A: Given query is to find the equation of the tangent.

Q: 3. Find the equation of the tangent line to (x*+ y°)* +50xy = 0 at the point (2,-4).

A:

Q: 4. Find the equation of the tangent line to the curve 2xy+r sin y = 27 at the point (1.%).

A:

Q: II. Find the equation of the tangent line to the curve z2+V#j+y² = 19 at the point (1, 4).

A:

Q: Find the equation of the tangent line and normal line to the following curves at the indicated…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3,5.7) - y =…

A:

Q: 4. Find the equation of the tangent lines to the curve y = √x and perpendicular to the line 14x +…

A: We have to find the tangent

Q: Determine an equation of the tangent line to y = (e3x - 2)4  at the point (0,1) then solve for y.

A:

Q: 1. Find the equation of the tangent line to the curve defined by the equation In(xy) + 2x – y + 1 =…

A: Given: lnxy+2x-y+1=0 for finding equation of tangent at point12,2, we need to find slopem of tangent…

Q: 6. Find the equation of the tangent line to the curve y = e when it is parallel to 2x- y=7.

A:

Q: 3 Find the equation of the tangent line to the curve x*y – xy = –2 at the point (-1, –1

A: Given: x4y-xy3=-2 and the points are (-1,-1)

Q: - Find an equation of the tangent line to the curve sin(r+y) = 2y – 21 at the given point (-7, –x).

A:

Q: 1. Find the equation of the tangent line to the graph of In(x + y) = 4y² + x*y at the point (2, -1).…

A: Solve the following

Q: 8. Find the equation of the tangent line to y = sin (r) cos(r) at

A:

Q: 9) Find the equation of the tangent line to: y = (1+x) e*when x=0

A:

Q: 1. Given y = sin(x In.x), what is the slope of the tangent line at (e, 0)? (The red line.) 2. Given…

A:

Q: 1. Find the equation of the tangent line of the curve cot (x + y) – sin (x - y) = 1 at (0, n 2 ).

A:

Q: 2. Find the slope of the tangent line to the curve y? + yx² + x² – 3y? = 0 at the point (0, 3).

A:

Q: 2 Find the equation of the tangent to the curve y = sin x at the point where x = . 3

A:

Q: 5. Find the equation of the tangent line and normal line to the curve f(x)= at the point(,4).

A: The tangent line is horizontal where y'=0. So at first we differentiate the given curve and equate…

Q: 4. Find the equation of the tangent line to the curve at the specified value of the parameter: x =…

A:

Q: 2. Find the slope of the tangent line to the curves: (a) xy + y³ = 12 at the point (2, 2), (b) 3x4/3…

A: This question can be solved using the concept of tangent and normal using application of…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.