Use linear approximation to approximate √36.3 as follows. Let f(x)=√x. The equation of the tangent line to f(x) at x = 36 can be written in the form y = mx + b. Compute m and b m = 1.8 Using this find the approximation for √36.3. Answer:

Q: Find the required value by setting up the general equation and then evaluating. Find s when t-4.0 if…

A: Given:s is inversely proportional to the square of t.Ands=3 when t=8

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.)…

A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is

Q: Express the following logarithms in terms of ln 5 and ln 7.a. ln (1/125) b. ln 9.8

A: Properties of logarithms: (i)  ln xa=a ln x(ii)  ln(ab)=ln a+ln b(iii)  lnab=ln a-ln b

Q: A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

A: Given function is defined on closed interval and function is continuous and differentiable on the…

Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

A:

Q: 1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the…

A: Given:- foci of hyperbola -6,1 and -6,-9 and vertex -6,-1

Q: A tank contains initially 2.500 liters of 50% solution. Water enters the tank at the rate of 25…

A: Given the initial volume is 2500L of 50% solution.

Q: Solve the ff. first order DE using Exact Equations a. (x + y)dx + (x − y)dy = 0 - b. (y² − 2xy +…

A:

Q: lim S/GX X+10 5 G1-x

A: To evaluate the given limit of the function.

Q: Let F(x) = f(x¹) and G(x) = (f(x))¹. 3 You also know that a³ = 10, ƒ(a) = 2, ƒ'(a) = 6, ƒ'(aª) = 4…

A:

Q: C. S 9dv 81-24

A: Part c,Given,            ∫981-v4dv

Q: C. (6x + y²)dx + y²¹)dx + y(2x − 3y)dy = 0

A:

Q: Calculate the tangent line to y=2v cosv - e at v= pi/2.

A: Calculate the tangent line to y=2v cosv - e at v= pi/2

Q: Compute the first three derivatives of f(x) and then state the formula for the nth derivative of…

A:

Q: Solve the ff. first order DE using Exact Equations b. (y² − 2xy + 6x)dx − (x² - - 2xy + 2xy + 2)dy =…

A: To solve Differential equation.

Q: If f(x) = sin x, find ƒ'(x) 5 5 sin(x) cos(x) Find f'(2)

A:

Q: The graph of the polynomial f(x) is given below. If f(x) has degree 3, find the factored equation…

A: One root is -2 and this graph touches the x-axis at x=4 so this is repeated root of f(x)

Q: K How long will it take money to triple if it is invested at 8% compounded semiannually? 7.4%…

A:

Q: a. xy³ dx + (y + 1)e¯*dy = 0

A: xy3dx+y+1e-xdy=0

Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

A: 2x3y' =yy2+3x2

Q: Find an equation of the tangent plane to the parametric surface R(u, v) = = ㅠ at the point where u =…

A: Partial derivative and vector calculation are required

Q: Consider the curve given by Find all points on the curve (x,y) where the tangent line is horizontal.…

A:

Q: Solve the ff. Linear Equation: 33 a. (x³y³ + 1)dx + x³y² dy = 0

A:

Q: Express the ratios in Exercises 69 and 70 as ratios of natural loga- rithms and simplify. log,a log2…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: c) Prove that if a is an integer, then a² + a is even. [Hint: Use proof by cases.]

A:

Q: 26. 1 (₁7) + dy - 2xy) d + cos x - 2xy dx = = y(y + sin x), y(0) = 1

A:

Q: dy 6. + 2xy² = 0 dx

A: dy/dx + 2xy2 = 0 here we have to find the solution of this euqaiton  further step given below this…

Q: Solve the ff. first order DE using Separation of Variables 2 b. x²dx + y(x − 1)dy = 0

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: Let's find directional derivative.

Q: 3. y = Ae2x cos(3x + B), where A and B are the arbitrary constants

A: To eliminate the arbitrary constants A and B in the following equation.y=Ae2x cos3x+B

Q: T Use the suggested substitution to write the expression as a trigonometric expression. Simplify…

A:

Q: Enter your answer as an ordered pair. Provide your answer below: f(x) = 7x² - 12x - 8

A: The given function is  f(x)=x2-12x-8

Q: For the given function, find all as f(x) = 2 Ex 7x² + 12x - 4 +1

A:

Q: What is the integral of csc3xcot2x dx?

A:

Q: 1. Find all roots: f(x)=x²-x+4

A: Dear student , as per bartleby policy we are allow to solve one doubt at a time. Kindly repost other…

Q: The point 2 is in the range of the function given by f(x, y) = True False 2x² x² + y²

A: We can check whether the statement is true or false .

Q: 3. Area between two curves. Sketch the region enclosed by x + y² = 56 and x + y = 0. Decide whether…

A:

Q: At what point does the tangent line to the curve y=3x4 -10x+3 at x = 1 intersect the x-axis?

A: Explained below

Q: 2y X in the direction of (1, 2). Then, Suppose f(x, y) (a) ▼ f(x, y) = (b) ▼ ƒ(6, π) = = = sin (c)…

A:

Q: Probability that is based on situations in which we observe how frequently an event occurs is…

A: Probability:- Probability is a way to gauge how likely something is to happen.  Many things are…

Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

A:

Q: In Exercises 39–42, express the given quantity in terms of sin x and cos x. 39. cos (7 + x) 40. sin…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Find the following using the table below. 2 3 4 1 2 2 4 1 1 3 X 1 f(x) 3 4 ƒ'(x) 1 3 34 g(x) 2 g'(x)…

A:

Q: f(x) = x²(3x) on [-3, 5] solute min solute max

A: Topic:- application of derivatives

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8…

A:

Q: Consider the following. y² – x² = 384; (8, 8√√7) Find the slope m of the line tangent to the graph…

A:

Q: Set f(x) = 1 7x³ + 3x + 2 . (1, 1/12) is on the graph of ƒ. Find (ƒ-²¹) (¹2). The point 1,

A: The solution to find the value of inverse of f(x) at 1/12 is as follow.

Q: Find the derivative of the function. f(x) = arcsin (et) f'(x) = Find the domains of the function and…

A: To find out the derivative of the function.

Q: (a) cosh(sinh *(8))

A: U