Find ду ах if 2 Y = (x²+1) • 1₁ (x² + 1) In

Q: Which of the following is a vertical asymptote of the graph of f (x) = 0x=13 y = 9 O O x=9 O U || 3…

A: Vertical asymptotes : It occurs where the denominator of a rational function approaches zero.

Q: The function ³ - 3x² has a point of inflection at x = 2 x = -2 Ox=0 O x = 1

A: Let the function,   f(x)=x3-3x2

Q: of in and Explain how inverse of the table graph the representation function a of values, equation…

A: To explain that how the representation of an inverse of a function in a table of values and equation…

Q: Given the points A(1,2,3,) and B(2,-2,1) Resultant, vector C, of vectors A and B (A+B) Vector AB

A: resultant vector C = A+B  = (1+2,2-2,3+1)  = (3,0,4)

Q: f(x)=1/(6x+1), a=1.5

A:

Q: A light hangs 15 feet directly above a straight walk on which a man 6 feet tall is walking. How fast…

A:

Q: = The x-coordinate of the point of inflection on the graph of y 5 0 10 3 - 3+5 +2

A:

Q: Question 21 The slope of the tangent line to the curve at the point where x = = is 00 O DNE O +1 0-1…

A:

Q: CH 10.3 Class Expresse II Use the integral test 2° Σ 3+1 Convergent is to determine whether or…

A:

Q: Find the linear approximation of given function at (0, 0). 3x + 4 2y + 1 f (x, y) = f(x, y) =

A: We have to find the Linear approximation of the given function.

Q: What is the equation of the tangent line at x=-2 of f(x)=√√x -1

A:

Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A: This is a problem related to integration. Please find the general procedure given below.

Q: Find h' (t) if h(t) = h'(t)= [] 5 1/3 2 3/7

A:

Q: Find each limit. Use oo or ∞o when appropriate. 2x - 10 (x-10)² (A) lim f(x) X-10 f(x) = (B) lim…

A:

Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = = [₁²₁ F(x) = In (61-3) dt

A: Solution :Leibniz integral formula.ddx∫gxhxftdt=h'xfhx-g'xfgxFx=∫6xln6t-3dtF'x=dxdxln6x-3-d6dxln66-3

Q: Find the surface integral of the field F(x,y,z)=9xi +9yj +9zk across the portion of the sphere x² +…

A:

Q: Let f(x) = x + 1/2 On which interval is f decreasing? ○ (0, 1) ○ (-1,1) ○ (-2,0) ○ (-∞0, 0)

A:

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per day…

A: This question is based on derivative application.

Q: Find f'(x) if f(x) = 9x x7/5 – 5x2 + 10000. O A. f'(x) = 632/5 - 10x 5 OB. f'(x) = 63, 6/5 - 10x 5 O…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Which of the following rational functions is equivalent to the partial fraction decomposition 2x 2x…

A: 2x2x-1-3x3x-1=2x3x-12x-13x-1-3x2x-12x-13x-1=2x3x-1-3x2x-12x-13x-1=x2x-13x-1

Q: 00 Does the series (-1)+1(0.9)" converge absolutely, converge conditionally, or diverge? n=1 ...…

A:

Q: For the given functions f(x) = − 9x², g(x) (1) (fog)(x) = (2) (gof)(x) = (3) (ƒ ○ ƒ)(x) = (4)…

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A:

Q: Find the area of the region shared by the cardioids r = 2(1 + cos 0) and r = 2(1 - cos 0). The area…

A:

Q: 2. Find the limit algebraically by factoring the expression first. lim x-10

A:

Q: 3. Evaluate tan¹x² 1+xº dx

A: dtan-1(x)dx=11+x2

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000 + 700x. (A) Find…

A: The total cost of manufacturing x auto body frames is Cx=50,000+700x

Q: Given: f(x) Then lim f(x) = x-1-1 0 3 01 0 -1 O does not exist -x² 2 2x 1/x² if x < -1 if x=-1 if…

A:

Q: Find and simplify each of the following for f(x) = 6x² - 9x + 9. (A) f(x + h) (B) f(x+h)-f(x) (C)…

A:

Q: Calculate the first three partial sums of the series. S₁ S N' 11 = S3 = Σ n = 1 n+4 Use the sequence…

A:

Q: What is the equation of the tangent line at 3x+1 (0₁²) of f(x)= ³x + 1 0, 2 X-2

A: Diffrentiation of f(x) is done using product rule diffrentiation.…

Q: lim x→0 x⁹⁹ sin (7x) (sin x) 100

A:

Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A: We have to find out distance between the cars

Q: Find the polar coordinates, 0≤0<2r and r≤0, of the following points given in Cartesian coordinates.…

A: We know that conversion of cartesian co-ordinates to polar co-ordinates, r=x2+y2θ=tan-1(yx)

Q: - [5√3x d dx

A:

Q: 2 [ 2e sin de

A:

Q: lim 1-26 2 (2 + 3n-4n²) (1-2n + 3n²)

A:

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: 3 dx (e³x + 1)

A: Find d/dx

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

A:

Q: The integral is improper. Select one: O True O False S 1 x - 1 dx

A:

Q: Let f(x) = 9x² + 2x, g(x) = 7x - 7. Evaluate the following: (1) (f+g)(-3) = (2) (ƒ − g)( − 1) = -

A: First I have calculate the values of , f(-3),g(-3) , f(-1) and g(-1) then find the required values.…

Q: What is the instantaneous rate of change at x = 2 of the function f given by 2x f(x) O O 4 -2 H N -…

A: What is instantaneous rate of change at x=2 of the function f given by   f(x)= 2x/x-1

Q: Question 2 A₁ 10 Rope A2 A3 10 Barn A₂ A calf is tethered to one corner of a barn with a rope 90…

A:

Q: Question 26 O 12 0-8 powered by desmos Suppose that F(x) = f(g(x)), where f(2)= 3. g(2) = 5. g' (2)…

A: [26] Given F(x) = f(g(x)) where f(2) = 3, g(2) = 5, g'(2) = 4, f'(2) = -2 and f'(5) = 11 F'(2) = ?

Q: Given the vector function - r(t) = (t²- 4t)i + sin(2t − 4)3 + ( + ) Find the derivative of r(t). a)…

A:

Q: Find the linear approximation of the function below at the indicated point. f (x, y, z) = V x² + y²…

A:

Q: au limit does not exis 10 hauria natura UnaUna Un aUna -6 aUrauna -10 b) c) hauaOnaUnaUnaUnaUnaUn…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: T S. 12 sin² (u)du

A:

Q: Given: f(x) = 02 01/201 O 3 4x + 1 if a . I→(1/2)*

A: