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Q: Find the limit.

A:

Q: Find the area of the region bounded by the graphs of f(x) = 2 − x2 and g(x) = x.

A: From the graph, we see that x is from -2 to 1

Q: etf: (0, 1] × [0, 3] → R be the function defined by f(x, y) = x' + 3y and let E be its graph. The…

A: Given: f: [0,1] x [0,3] to R be the function defined by f(x, y)=x^3+3y^2, Σ be the graph

Q: lim (4x – 3y)= -11 Prove that (r.,v(-2,1)"

A:

Q: Consider the cubic function ƒ(x) = ax3 + bx2 + cx + d. a. Show that ƒ can have 0, 1, or 2 critical…

A: Consider the given cubic function: Here the objective is to show that f(x) can have 0,1, or 2…

Q: iz³+1 lim z--i z²+1 3 2 ylgn ihi

A: Finding the limit by l'hospital rule

Q: 14 Find the y coordinates for all local maximums and minimums of the function y= x3 + 3x2 + 2 0, 2…

A: It is local maxima and minima problem.

Q: Proof Graph y1 = x/1+x 2y2 =arctan x,and y3 = x on [0, 10]. Prove that x/1+x2 ˂ arctan x ˂ x for x…

A: Given information: y1=x1+x2, y2=arctanx, y3=x. To prove:  x1+x2<arctanx<x Proof: Consider…

Q: k(x) = (1+ x²)etan-(x)

A:

Q: 4/5elue f(X)= X'-2X- 5 Using Secant methed, Cerreet apto 2decimal elases.

A:

Q: k-1 dt ;0 <k < 2 %3D

A:

Q: z? +1 lim z4-1 %3D i O -i o

A:

Q: 1) Find a function y whose graph passes through the point (1, ) and satisfies x?y' = y.

A:

Q: 3. a) Use REGRESSION to find a quartic function y = ax* + bx3 + cx² + dx + e that fits the data. b)…

A: given y=ax4+bx3+cx2+dx+eUsing the regression to find the quadratic function

Q: Find the linearization of y = eV - eV* at x = 64. (Use symbolie notation and fractions where needed…

A:

Q: k a] lim = 0 kER %3D

A: 2(a) In this question, we prove the limit of the given sequence by using   ε-δ definition.

Q: limy 2 X- 2

A: Here we have to evaluate limx→21x-12x-2

Q: Find the extrema of the given function f(x, y) = 2 cos (x² - y²) subject to x² + y² = 1. (Use…

A:

Q: 1) Find a function y whose graph passes through the point (1, and satisfies x?y' = y.

A: We have to solve

Q: lim Scy+1 1-secy a) as y→n/2 b) as y→T/4 c) as y→ 3t/2

A: a) y→π2 lim cosec y+11-sec y=cosec π2+11-sec π2=1+11-∞=-∞

Q: Determme the quadratic curve y f(x) if it touches the line y x at the point x 1 d passes through the…

A:

Q: lim (VI+z- VF),

A:

Q: Along the path x = ey find lim (1,y)→(1,0) y²-6zy 3r-y-3 does not exist O 3 0 2 0 -3 O 2 0

A: Find limitx,y→1,0lim y2-6xy3x-y-3calculate limit along the curve x=eyconcept:- convert limit in one…

Q: 4(メ) = 2+(3Cx -1++げ. let ): find the Criticul points of f. minimum 2). Find the local and absolut e…

A: Given information :  f(x,y) = 2+3(x-1)^2+4(y+1)^2 To find : 1) Critical Points                  2)…

Q: Find absolute maximum and minimum values for f (x, y) = x² + 6xy + y°, defined on the disc D = {(x,…

A:

Q: lim -3- tan-() = lim-otan-ly %3D True False

A:

Q: The vertices of a thin square plate are (0,0), (1,0), (0, 1) and (1, 1). The upper edge is…

A: There is given a thin square plate whose vertices are (0, 0), (l, 0), (0, l) and (l, l). The upper…

Q: 104. Find the minimum value of f(x) xe over [-2, 0]. %3D

A: Given: fx=xex over -2,0 To Find: Minimum value

Q: Solue : Srih'x t1- sech x %3D

A: In order to solve this we need to write the hyperbolic inverse functions in respective logarithmic…

Q: lim (2,y,2)(-1,2,-3) 2x – 4y - 3z = -1. %3D

A: Given, lim(x,y,z)-&gt;(-1,2,-3) 2x-4y-3z = -1

Q: The graph of y= |x| is the solid black graph below. Which function represents the dotted graph? 10 8…

A:

Q: السؤال 1 lim iz?-z z-- z2-1 i o -i O 1 0 -1 O

A:

Q: lim, (V+x+1 - V+1) – Vx² x* + 1

A:

Q: Find absolute maximum and minimum values for f (x, y) = x² + 10xy + y, defined on the disc D = {(x.…

A:

Q: lim 人う 又+ 2x t3 sove w/o |hoptal's neue:

A: Infinity limits

Q: hamo gone ous is of the homo.gone.ous the minimum Step 2-4 XF xt difterential equation with its solu…

A: Given that y=x2e-x+x3+x2 Take the derivative,…

Q: sinny -limy-1 y-1

A: Given, limy→1 sinπyy-1   We have to evaluate the limit.

Q: 2. AFGH has vertices F(-3,-1), G(0, 4) and H(3,-1). Graph AFGH and ry- (AFGH) AY F' = X G' = H' =

A: Triangle in Black color is after transformation.

Q: 3, x21 Graph the piecewise linear function f(x) = -1-x, x<1 OB. OD. OA.

A: Note: We know that piecewise function is a function defined by multiple sub-functions, where each…

Q: 3.4 Applied Optimization Activity 3.4.4. Consider the region in the x-y plane that is bounded by the…

A: We have given a region of x-y plane bounded by x axis.                               f(x) = 25-x2 .…

Q: Find the linearization of y : at x = 16. (Use symbolic notation and fractions where needed.)

A:

Q: Find absolute maximum and minimum values for f (x, y) = x² + 10xy + y, defined on the disc D = {(x,…

A:

Q: 1. Find the absolute minimum and maximum values taken by the func- tion f(x, y) = x² + y² – x – y +1…

A:

Q: Сорy of The global minimum of f(x) = x - 4x over the interval -2<x<3 occurs at what value of x? O a.…

A:

Q: The graph of y = x is the image of y = Vx after: O horizontal compression by a factor of 3/2 O…

A:

Q: iz3+13 lim z--i z2+1 2

A:

Q: 4. f (x) = ,x² – 2x – 6 2 4.f (x) %3D %3 х2 — 2х — 6 | Opens up/down: Vertex:. Axis of symmetry:…

A: The point of at which the parabola and its line of symmetry intersect is called the vertex of the…

Q: Degree: ere Leading Coefficient: 0.80 0.02 End Behavior: (,_) 0.19 Maximum number of zeros: cacme…

A: Definition used -                       Maximum number of zeros = degree of the polynomial…

Q: 6.lim 2+x-VZ

A:

Q: 1) Find a function y whose graph passes through the point (1, 2) and satisfies x?y' = y.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

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.