3. Compute ahi-fin Lireh-fi for the following functions: and lim h40 a. f (x) = sin x

Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

A:

Q: 1. Find the antiderivative of 3.x² + 2? 2. How do you find the antiderivative of a given function?

A:

Q: Find the equation of the line passing through the points A(2,3) and B(-7,4) O a. 9y+x-29=0 O b.…

A:

Q: Find the sum of the following infinite series. If it is divergent, type "Diverges" or "D". 1 Σ 8. n…

A:

Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

Q: Scot'x csc'xdx 4.

A:

Q: Select the answer option that corresponds with polar coordinates (-1,-210\degree). 90° WIN 150° 4…

A: The given polar coordinates is (-1, -210°)

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 4, 3) %3D…

A: Apologies for the inconvenience.   #b) In part #a) we have found that, the direction ratio of the…

Q: Given the area of the region enclosed by y = 4 – x' and y = -x+2, identify the BOTTOM function.

A:

Q: 4. Sketch the function Ax) = 2xª – 16x², indicating any extrema, points of inflection,

A: follows the procedure given below.

Q: Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.

A: We are asked to find the Taylor series centered at 1

Q: 5. Describe the difference between the segments AB, BC, and CD. speed A BC D EFG time (t)

A:

Q: f (#) = 2x-3 and g () = ; then (f – g) (z) = %3D %3D Das- 9) (z) = 2 5 | b(f- 9) (x) = 2x2-3x-2 2x…

A: Given query is to find the value of indicated function.

Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

A:

Q: x =r +1, y=r -t b) Find d'y dx2

A: x = t3+1differntiating w.r.t. variable t;dxdt=3t2+0dxdt=3t2   ....(1)y = t2-tdifferentiating w.r.t…

Q: Find Jul, Ivl, 12ul, , lu + vl, lu - vl, and lul - Ivl. = (6, -7), v= (-3, -3) u Jul |v| = |2ul =…

A:

Q: 39) (a) Let Ax) = cos(3x – 2). Find f" (x). (153) (b) Let g(x) = 2***. Find g (x).

A:

Q: Activity 1.1 Evaluate the required function values and the indicated limits using the given graph of…

A: Here we have to find the values by observing the graph.

Q: ) = (";')-G".) Show that: r-1,

A:

Q: The inflection point of the function f(x) = x³ – 4x² + 4x + 2 is: (금, 끓) 3 7 4 ' 27 7 (금, 꽃) 4 70 3'…

A:

Q: Radioactive elements disintegrate spontaneously in a process called radioactive decay. The rate of…

A:

Q: 3. f(x) = 3x² + 8 a. -6x b. 3x с. -3х d. 6x f(x) = x' -1 а. Зх b. Зx c -3x d. 3x2

A: Topic = Derivative Correct answers 3) d 4) d

Q: Find the area of the parallelogram with vertices (1,2), (4, 5), (7, 10), and (10, 13)- Answer:

A: I have shown magnified diagram

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x +x - 4, k= - 1

A:

Q: Use the graph to identify the points on the interval (a,b] at which local and absolute extreme…

A:

Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Here, the given functions are: D(x)=100x, S(x)=x

Q: Evaluate the line integral, where C is the given space curve.     Cxyeyz dy,   C: x = 4t,  y = 4t2,…

A: Firstly change the given line integral in terms of 't' and then solve.

Q: Convert the Cartesian equation x 2 + y 2 - 6x = 0 to a polar equation.  r² = 6cosθ r = 6sinθ r =…

A: The given Cartesian equation x 2 + y 2 - 6x = 0 ................................... (1)

Q: 4cscθ

A:

Q: Find the absolute extrema of the function on the interval [2, 10]. (Round your answers to the…

A:

Q: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence

Q: Find the area, if it is finite, of the region under the graph of y = 14x° over [0,00). Select the…

A:

Q: Which one of the following equations is in the slope- intercept form? O a. 2x+3y-6+0 O b. 2x+3y= 3

A: The equation of line in slope intercept is giveny by:y=mx+cwhere, m=slope c=y-intercept

Q: x² +1, if x-1 odd f(x)= ,2_1. if x+1 even Find the value of f(1)+ f(2)+f(3). O a. None O b. 12 О с.…

A:

Q: Consider the following curve. f(x) = Vx2 + 2x - x Determine the domain of the curve. (Enter your…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: I = 3 sin(60?t) + cos(120?t)

A: answer is in next step

Q: dx V4-9x2

A:

Q: What’s the concepts of calculating the area of a region with subintervals of equal widths and…

A: The concept behind calculating the area of a region with subinterval of: a) Equal width- It is…

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: For a vector v with magnitude M in the direction of θ.The Horizontal comonent is given by…

Q: lim 2 + 9x° (1 + x ) ( 3 + x* )

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

Q: 2. Let A = (1,0, 2) and B = (6, –2, 3). Solve for projĄB.

A:

Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

A:

Q: Direction: Prove using the three conditions of continuity if the following function is continuous or…

A:

Q: What two nonnegative real numbers with a sum of 50 have the largest possible product? The numbers…

A: We are asked to find the largest possible product of the two non negative number whose sum is 50

Q: Direction: Find the derivative of each of the following functions. Write your solutions on a…

A: We have to find the derivative

Q: Simplify arcsin(sin 6 7). 6 7I

A: We have to find the angle

Q: Write the complex number in standard form. 3-V-30 4 + 30i 3 + 30i 3 – V30i 7- 30i O 4- 30i

A: Simplify using basic concepts of complex number.

Q: b. Consider the graph of function f below. 1,5) (7,9) (-1,-1) (4.2) (1,-1) Complete the following…

A:

Q: Evaluate the following integral: •Vx+4 sin(y – 3y?) dy Jx+4 | 2

A: First we integrate the given function and then we put limit and simplify.

Q: Find the radius of convergence and interval of convergencE of the power series. (x 25. E 2)" n=1 n"

A: