12

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: 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 function f given that the slope of the tangent line to the graph of f at any point  (x,…

A:

Q: y=x, 4x +y“ = 12

A: The region is bounded by the curves,    y=x, 4x+y2=12

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

A:

Q: Determine whether the series converges, and if so find its sum. 2k+3 5k+1 k=1

A: answer is in step 2

Q: Convert the Cartesian coordinates (2, -2) to polar coordinates. (2√2, 300°) (2√2, 315°) (2√2, 330°)

A: To convert the given point from Cartesian to polar coordinates.

Q: Find the intersection of the line and plane: 2x + 4y – 3z = 19, r(t) = (-2, 1, –1) +t (1, –1,2)

A:

Q: Find the intercepts, critical numbers, intervals) of increasing and decreasing relative extrema,…

A:

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

A:

Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

A: Given query is to find the value of the integral.

Q: Suppose that f and h are integrable and that: frx) = -1 , , f(x) dx = 5 , ,h (x) dx = 4 ,Find: a. -2…

A: We have to find the given integrals.

Q: f(x) = x-1(x² + 1)vx %3D

A:

Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

A:

Q: Solve the following equation for x (find all solutions between 0° and 360° Round answer to 2…

A:

Q: ot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The win (a) Express…

A:

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

A:

Q: What is the equation of the mean line of y=a sin(k(z – d)) + e? %3D O a) y = -a+c O b) x = c c) y =…

A:

Q: For each part, type your answer in If sin(x) then csc(x) = %3D If cos(z) = then sec(x) = 3. %3D If…

A:

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

A:

Q: Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population…

A: Given: Biologists stocked a lake with 240 fish. The carrying capacity (the maximal population for…

Q: Convert the Cartesian equation xy = 1 to a polar equation. r² = sinθcosθ  r² = tanθ r² = secθcscθ

A: Given problem:- Convert the Cartesian equation xy = 1 to a polar equation.   r² = sinθcosθ  r² =…

Q: A kite, 120 ft above the ground, is moving horizontally at the rate of 10 ft/sec. At what rate is…

A:

Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

A:

Q: If $21.000 is invested in a savings account offering 4.5% per vear, compounded semiannually, how…

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: 4. Show that if x, y, z are integers such that x2 + y2 + z? = 2xyz, then x = y = z = 0. (H)

A:

Q: Determine dæ dy and of the parametric equations dy dæ? 1. x (t) = t2 – 4t and y (t) = 2t³ – 6t - -

A:

Q: Find the arc length of the parametric curve. x = e', y = e, z = /2t; 0<t<7 L=

A:

Q: 4. (i) Use the parametric equations of an ellipse, z = a cos (t) , y = bsin (t), 0 < t< 2r, to find…

A:

Q: if 0 < x < 5, if 5 <x < 10. За-15 f(x) 15 - За Evaluate the definite integral by interpreting it in…

A:

Q: 1,0 10 A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite…

A: According to the policy, I am providing the answer of first three subparts. Explanation of the…

Q: Make a complete graph of the following function on the given interval. Use a graphing utility to…

A: f(x)=x-3cosx on -2π,2π

Q: 2. Draw Venn diagram and shade the given a) AOB° b) (AUB)\B c) ((Cn4)\(B\A)°)nc

A:

Q: Please, solve 1(d) & (e), 2 only

A:

Q: 2) Sx sin(2x?) dx 3) S cos?(2y) sin(2y) dy 4) f sec3 x tanx dx

A:

Q: Use the graph below to find the inflection point(s) and concavity:

A: Answer is in step 2

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. S', f(x)dx = B. If the vertical red shaded area in the graph has area A, estimate: a f(x)dx = -3…

A:

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

A:

Q: b. g = f(t, v) = tv, t = In m v = m %3|

A: Given g=tv, t=ln(m) and v=m6

Q: If line t is parallel to the line 5x-6y+10=0, What is the slope of line t? O a. 5 Оb. 5/6 О с. 6/5 O…

A: Slope of parallel lines are same

Q: Given: tan z = - and z is in Quadrant IV. Find the exact values of sin (), cos (). and tan (5)…

A:

Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

A:

Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: Water is drained out of an inverted cone, having the dimensions depicted in the figure below. If the…

A:

Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: Evaluate: (- Vy + + 10 )dx 10 5.) y4

A: Note: Since the student has made an typing error by writting "x" as integral variable but the…

Q: Evaluate: J 1+sinx -dx

A: To evaluate the given integral.

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

A: total card = 52 A = card is black face = 6  B = card is black = 26 P(A) = 6/52 = 3/26 P(B) = 26/52 =…