f(x) = x + ax +b has a stationary point at (-2, 3). a Find the values of a and b. b Find the position and nature of all stationary points. 3.

Q: Find the area of the region bounded by the curve y? = x+ 1, both x and y axes, and the line a = 8. О...

A:

Q: If x changes from 2 to 2.04 and y changes from 3 to 2.98 for f (x, y) = x² – 3xy – 2y² , find dz.

A:

Q: ven lim lim (f(t)) if f(t)=7. Evaluate t+5 (f(t))* if it exists t→5+

A:

Q: 43. If the x-coordinate of the centroid of the region that lies under the graph of a continuous func...

A: The x-coordinate of the centroid of the region will be       x=1A∫abxfx dx,   where A  is the area o...

Q: Which of the following functions of x is guaranteed by the Extreme Value Theorem to have an absolute...

A: The extreme value theorem states that if a real valued function f(x) is continuous on the closed int...

Q: h(x) = (x + 2) (x - 4)3(a) Identify the x-intercepts of the graph of h.(b) What are the x-intercepts...

A: Given: hx=x+2x-43. (a) To identity the x-intercepts of the graph h. We know that x-intercept is the ...

Q: Q2. Use integration by parts method to evaluate the following integrals.

A:

Q: 17 (xr² + 3xy) dx - dy = 0

A: We can solve it by seperation method

Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: The chain rules helps in finding differentiation of composite function. We call a function composite...

Q: Find a parametrization of the right branch (x > 0) of the hyperbola(x/a)2−*(y/b)2= 1 using cosh ...

A: Given that. xa2-yb2=1     ...(1) Need to evaluate parametrize form of (1).

Q: The general solution of xdx + ydy + xdy-ydx x2+y? = 0 is (a) x2 + y2- 2tan-1 (2) =c (b) x2 + y2 + ta...

A:

Q: X.2: Write the equation for the parabola with Focus (o,-3) and directrix y= 3.

A: To get equation of parabola suppose any point P on parabola and focus S and any point on directrix i...

Q: The number of hits on OHaganBooks.com's website was 6,000 per day at the beginning of the year, and ...

A:

Q: (10)

A:  y dx+x dy  

Q: Use a graphing utility to graph each function over the indicated interval and approximate any local ...

A: Givenf(x)=-0.4x4-0.5x3+0.8x2-2interval-[-3,2]To find where f is increasing  and  decreasingas well a...

Q: Find the perpendicular distance between the lines ( y=2x+7) and ( y=2x+5).

A: Given two lines are: y=2x+7         .............(1)y=2x+5         ..............(2)

Q: question: Which constraints are active, meaning that all of the resource is used in the optimal solu...

A: Active Constraint means that the solution has some boundaries and the objective is limited. If a par...

Q: What's domain, range?

A: Domain is the set of values of x for which function is defined. Range is the set of values of y corr...

Q: Differentiation Rule

A: Given that function,     f(x)=5x3   f(x)=5x-3    

Q: 52. Consider the function k given by k(x) = 2|x + 5|. a) For what x-value(s) is this function not di...

A:

Q: Graph the equation

A: Fx=x2-2x-15x2+6x+9 On simplification, we get ⇒Fx=x2-5x+3x-15x2+3x+3x+9⇒Fx=xx-5+3x-5xx+3+3x+3⇒Fx=x-5x...

Q: Teste for continuity of the foll dwim プia)= *+ 42-1 2- fa)= 4-ス frxy = - frx) = *オー ズ+ 4.. frn) = 5-...

A:

Q: Determine the area bounded by the parabola y = x^2, the line y = 6-x, and the x-axis

A:

Q: Degree of p³ + 2xp² – y²p² – 2xy²p = 0 is %3D (a) 2 (b) 1 (c) 3 (d) None of these

A:

Q: For what value of x does the tangent line to the curve y=7+3e^x−6x  is parallel to the line 8x−8y=9?

A:

Q: What is the area of the region bounded by y = x², the x-axis, and the lines a = 2 and æ = 5, using i...

A:

Q: 1.Find inverse function f − 1 for the function 2.What is domain of f − 1?

A:   Consider the function, fx=2sinπx+π2+2

Q: TC 4 tane Q10 de sece 3. a) 2 -24 b) (2 1) | c) 24-2 d) = (2 -1)

A: By using substitution method  

Q: R d2 dt K. Let C where and9-0

A: We have to find solution for differential equation.

Q: 5. Solution for px - y = eP is (a) y = cx² + e° (b) y² = cx + e° (c) y = cx – e° (d) xy + cy = x

A:    Given :            The equation is px - y = ep   To find the solution of the equation px - y = ep...

Q: S dx 3 2 2X -4X-1) |

A:

Q: In Exercises 63–66, find dy/dx.63. ln y = e^y sin x                   64. ln xy = e^(x+y)65. x^y = y...

A: (63) Given- lny=eysinx To find- dydx

Q: Type out your work and answer

A: we use trigonometry ratio  sin θ = perpendicularHypotenuse

Q: Find the inverse of the linear function f(x) = mx + b, m + 0

A: Given: y=f(x)=mx+b Given function is equivalent to y=mx+b Now by using y=fx Now we interchange x and...

Q: Find f o g o h. 1. f(x)=x-1 , g(x)=√x , h(x)=x-1  2. f(x)=x^4 + 1 , g(x)=x-5 , h(x)=√x Please show s...

A:

Q: On the decibel scale, the loudness of a sound, D, in decibels, is given by D = 10 log, where I is th...

A: Given: I=1012I0

Q: Solve the initial-value problem y′ = x2 − 4x + 3 −6ex ,   y(0) = 8. Hint First take the antiderivati...

A: Given differential equation is y'=x2-4x+3-6ex, y0=8. Integrating the given differential equation  ∫y...

Q: Q7 For which of the following values of m is the area of the region bounded by 6. y = x - x² and y =...

A: area between two curves by integral calculus

Q: Compute f'(x) using the limit definition. f (x) = x2 + 3x

A: Derivative using the limit definition: If f(x) is any function then f'(x) is, f'x=limh→0fx+h-fxh    ...

Q: Plz solve it with all steps and clear hand writing. Thank you

A: The given integral is: I=∫14 ∫0y exy dx dy

Q: 1) Find the tangent slope to the curve f_((x))=1/ (2x-1) at x=1

A: We first differentiate the function to find the tangent slope .

Q: The graph of a rational function cannot have both ahorizontal and an oblique asymptote. Explain why.

A: Query- The graph of a rational function cannot have both a horizontal and an oblique asymptote. Expl...

Q: 2. Find the 2362nd letter in the following sequence. EAPlain/show how you determined your answer. (S...

A:

Q: sin? (c)

A:

Q: Use the following information to answer the next two questions.A rider gets on a Ferris wheel at the...

A:

Q: . Find the differentiation of the followings using the chain rule: dx2 y = (3 – sin- (r³ + 1))2.

A: Given that y=3-sin-1x3+12. Compute the first derivative. dydx=3-sin-1x3+12'=23-sin-1x3+13-sin-1x3+1'...

Q: Find an equation for the surface consisting of all points P for which the distance from P to the x-a...

A:

Q: 8. Suppose the derivative of the function y = f(x) is y' = (x – 1)*(x – 2)(x – 4). At what points, i...

A:

Q: 48. Accumulated sales. Music Manager, Ltd., estimates that monthly revenue, R(t), in thousands of do...

A: Consider the given function Rt=0.5et. Calculate the average value of Rt=0.5et over 4 months as follo...

Q: Verify that  y = 3e 2t + 4sint is a solution to the initial-value problemy′ − 2y = 4cost − 8sint,   ...

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.