B. LIMITS Evaluate the following limits: z² + 4z – 12 EDIE 3. lim I² – 2x lim g (y) where,, [ y² +5 _ify< -2 13- 3y if y2-2 4. 5. VE-2 lim H -4

Q: Answer 8

A: Topic:- calculus

Q: 6. Evaluate the following integral: [sin 8x cos 5x dx

A:

Q: A roofer, Anita Shin-Gulls, is re-shingling a house in Richmond Hill. The roof is 1500 cm above the ...

A:

Q: 6. Find y`and y`for y=sin(x + y). 7. Find y` for sin x+ sin y = 1. 8. Find y` for x cos y = sin(x +y...

A: As per Bartleby guidelines, we are supposed to solve only first question when multiple questions are...

Q: The number of students in a school who are infected with the flu is given by the function 2300 F (d)...

A:

Q: Vx2-9 dx 3. x3

A: To evaluate:∫x2-9x3dx

Q: 10) 84° 12 in 57°

A: Note :- These are multiple questions and according to our company law we can do maximum one question...

Q: Evaluate the limit. lim-3 Væ²+7-4 3-x 0 -등 5 6 - 8. 6 8 O None of these

A:

Q: Find the average rate of change of the function over the given intervals. f(x) = 9x° +9; a) [1,3], b...

A:

Q: Provide a diagram where limx→a f(x) exists, f(a) is not defined and f(x) is not continuous at a. Wha...

A: A function f(x) has properties,limx→af(x) exits, f(a) is not definedfx is not continuous at x=a cont...

Q: Find the slope of the function's graph at the given point. Function: f(x) = x² + 1 Point of the f(x)...

A: We have to find slope of function.

Q: Approximate the function h(x)=x- 4xbound at x-0 and x- 2 wing 8 the area undler the area rectangles:...

A: Detailed answer is shown below.

Q: Determine the a) vertex, b) focus, c) directrix, d) axis of symmetry, and e) opening of the parabola...

A:

Q: Sketch the graph of any function that satisfies the given conditions. x-intercept at -1 and y-inter...

A:

Q: 1. (8x³ + 3x²) dx

A: Topic = Integration

Q: dy Find dx for the equation xy + sin(x + y) = 123643543 dy -y dx x+cos(x+y) dy -y-cos(x+y) da -cos(r...

A:

Q: Q3. A) Test the continuity of the function f(x): F(x) = 3- x 2 <x <3 3< X < 4 X = 4 X +1 2х -1 B) Fi...

A:

Q: Find ds/dt if t = sy1- s2

A:

Q: Solve the equation using the quadratic formula. 4x2 = 2x - 3 The solution set is }. (Type an exact a...

A:

Q: Find the derivative 1. y = Vx² – 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 3. For what values of x does the graph of f (x) = x³ + 3x2 +x + 3 have a horizontal tangent.

A:

Q: V25 - v apa e Jx +4x + 20 xp ck for Understanding

A: integration

Q: (x²+y)dx+(y³+x)dy=0

A:

Q: Determine the value(s) of x for which the following function is discontinuous. Identify the type of ...

A: The given function,         fx=2x2+3x-2x+2 Removable discontinuous:    If a function f(x) has remova...

Q: A ball is dropped from a height of 15 feet and bounces. Suppose that each bounce is 5/8 of the heigh...

A:

Q: QI Evaluate 2 2 || 2y2 sin(xy) dydx (2 0 x

A:

Q: 2. Given r(t) = e' cos ti + e' sin tj+ e'k , find the tangential and normal components of accelerati...

A: Given: r(t)=et cost i +et sint j+et kTo find the tangential and normal components of acceleration:Fo...

Q: 6x Evaluate the indefinite integral. x4 + 1 + C

A:

Q: find the linear cost function for an item with marginal cost of $120, and it costs 96,500 to produce...

A: Find the linear cost function for an item with marginal cost of $120, and it costs 96,500 to produce...

Q: dy +2メy dx 4x ニ %3D

A:

Q: dp The logistic equation for the population (in thousands) of a certain species is given by = 9p - 4...

A: dpdt=9p-4p2To Find: a. Sketch the direction field.b.If the initial population is 2900 (p=2.9), what ...

Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: The total cost (in dollars) of producing x coffee machines is C(x) = 2200 + 30x – 0.1x?. the exact c...

A:

Q: Using logarithmic differentiation fx) = x° [2x+ 3 (x*+1)4

A: NOTE: Refresh your page if you can't see any equations. . take log on both sides

Q: The cost to transport a mobile home depends on the distance, x, in miles that the home is moved. Let...

A:

Q: 5. Let f(x, y) = x² + y? – xy + x. Find the critical point of f and determine if it is a local minim...

A: We will find the critical point for the given function.Also we will find that given function is loca...

Q: 5. Choose ONE of the phrases on the right that best describes the followings: Triangle law of vector...

A:

Q: Identify the quadric surface each of the following equations represent and sketch its graph. A 9n? +...

A: Given that: 9x2+4y2+36z2=36

Q: A retarding force, symbolized by the dashpot in the figure to the right, slows the motion of the wei...

A:

Q: Learning Task 7: Sketch one possible graph of a function f(x) defined on R that satisfies all the li...

A: Given conditions: limx→-4fx=DNElimx→-2fx=0limx→-1fx=0limx→0fx=2limx→1fx=DNElimx→2fx=-3limx→4fx=5limx...

Q: A. Evaluate each of the following definite integrals. 2 S (8x3 + 3x2) dx 1.

A: Given that:

Q: Evaluate the following limits: z² + 4z – 12 z² – 2x 3. lim

A: 3) To evaluate the limit: limx→2x2+4x-12x2-2x

Q: (n + 2) - n sequence converges to a+2) -星 sequence does not converge.

A:

Q: cosh (2 m(x)) dkr (A) 를 + +c (B) 0 (C) (D) sình(2 m(r)) +e (E) है - c

A: Solving the problem by finding the value of the integration.

Q: 1 (b) 49 343 61 343 An = 3 7 11 15 (1s 12 16" 27 64 VaV V云 8 (c) (d) an三

A:

Q: If $2,000 is invested at 7% compounded monthly, what is the balance after 8 years? $3,601.84 $3,490....

A:

Q: Part A) What is im f(xh x-0 Part B) What is f(o) Part C) What is im f(x)> x-2 Pan D) What is im flxh...

A: a) limx→0f(x)=-1 b) f(0)=-1

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

A: Given :y=x9+5To find : (f(u),g(x)) , dydx and G'(u).  

Q: 2. If X(-2, -6, 5) and Y(3, -4, 1) are two points in R³ , determine: a) XY b) | XY | in reduced exac...

A:

Q: The quadratic approximation for a function f(x) at a=2 is given by q(x) = 16+ 32(x – 2) +24(x – 2)² ...

A: Given that: q(x)=16+32(x-2)+24(x-2)2