(в B f(x)g(x) dx = [ f(x) dx g(x) dx]

Q: Question 15 : The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the…

A: To solve the following problem

Q: Question R is the region bounded by the functions f(x) = 2e - 2 and g(x)=x²-5. Find the area of the…

A: We have to find out area

Q: A lighthouse is on an island 400 meters off shore. The lighthouse beam makes a full turn every 15…

A: First we diagram the problem, labeling the point A , the lighthouse beam as B and C as another…

Q: L₁ |x|dx

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Q: Find the radius of convergence and interval of convergence of the series (-3)"x" √n+1 n=0

A: For a given series of the form ∑anFor radius of convergence   we will find first limn→∞an+1an<1…

Q: 3. 2y"" − 3y" – 3y² + 2y = (e*+ex)²

A:

Q: Use V=SSSDdV and the substitutions u = x/a, v = y/b, w = z/c to show that the volume of the…

A:

Q: The part of the plane 2x 5y + z = 10 that lies above the triangle with vertices (0, 0), (0, 6), and…

A: Double integration need to be done.

Q: Given the following characteristics, select the function family that is described. Shape: single…

A: Graph of logarithmic function

Q: 3. Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: given isr=2-3cosθ

Q: Solve the integral: Seln(2x² + 3x − 4)³ (4x + 3) dx

A:

Q: Find the area bounded by : f (x)=e*, g(x) = e¯* and x = 3. A (e²+ 1)² e² sq. units (e³+ 1)² B e3 (C)…

A:

Q: 3) x² + y² + 16x+10y+80= 0

A: Given

Q: Question 13 :  A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from…

A:

Q: Find the area bounded by : f (x)=e*, g(x)=e* and x = 3. A (e³-1)² e3 sq. units B (e²+ 1)² e² (e²-1)²…

A: To find the area bounded by curves

Q: A box with a square base and open top must have a volume of 171500 cm³. We wish to find the…

A:

Q: Question 11 If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant,…

A: Topic:- application of integration

Q: 1. Let f{x«y} = v/r? + y? oa a) Find Ꭷf of Để ông Ꭷf of of Ꭷf Ꭷx2 0x0y` Ꭷyòx' dy2 b) Find 2. Find an…

A: We are allow to solve one question at a time . If you need rest of answers please upload it…

Q: 1 1 11 f_²_f(x) dx = f(x) dx = 0 and f(x)dx [² f(x) dx = 1 1 ₁ 6' 1 0 [²3F(x) dx - √ 2P(x)dx -1 11 6…

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Q: area of a rectangle is fixed at 60 square meters. The base is increasing at a constant rate of 2…

A: Given the query is to rate of change of height.

Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 0.04…

A:

Q: Answer and give a complete solution. A ladder 25 ft long stands against a wall. The lower end is…

A:

Q: Solve the integral: A 3√√x² B + C 6 C 6√√x + C с D 3³√√x² +C ကြ Sv √√√x 3√x X dx

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Q: y = x¹, y = 2 = |x|

A:

Q: Let one week's supply and demand functions for gasoline be given by p= D(q)-294-39 and p = S(a)= a,…

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Q: Find the following improper integrals a) dr b) fodr

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Q: To produce x units of a religious medal costs C(x) = 13x + 102. The revenue is R(x) = 30x. Both cost…

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Q: Evaluating √√9-x² dx using trigonometric substitution will (A) 18 18 [*/2 cos²0d0 0 **/2 B 0 Cab…

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Q: Question 12 : A spherical snowball is melting in such a way that its diameter is decreasing at rate…

A:

Q: ff. W Ex] Let f(x) = 4x²+2x²+x+3 and :f(x), g(x) € 75[x] f(x). g(x). g(x) = 3x² + 3x²³² + 3x² + x…

A:

Q: A drug is injected into the body in such a way that the concentration, C, in the blood at time t…

A:

Q: Answer and give the complete solution. The lower edge of a mural, 12 ft high, is 6 ft above an…

A:

Q: (1) [ Evaluate the indefinite integral by substitution: a+bx² dx 3ax+bx3 (2) / sec³xtanxdx T

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Q: y = 5 tan x³ + sec(3x)

A:

Q: Test the convergence of the following series. (a) Σ*, 1 (b) Σπ=1 2 (c) Σπι (d) Σ*-11+n=

A: We have to check convergency of given series

Q: 16. J x² 4 + x² dx

A:

Q: 2 1) x² + y² + 18x - 26y +246=0

A: Topic = Equations Only question 1 is answered , As per asked by student.

Q: 3 •√₁²³f(x)dx=5₁ ₁²9(x) g(x) dx = 7, and 1 3 h(x) dx = -5 Which of the following can be determined…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

A: V=4πr3/3 dr/dt = 0.1 cm/min dV/dt =?   dV/dt = 4πr2(dr/dt)   dV/dt = 4(3.14)(9)2(0.1) dV/dt = 101.73…

Q: f(x) = 4x²8x +3 x ² + x - 12 2

A: Given.

Q: 8. Graph the rational function. horizontal asymptotes. 3x-12 a. r(x)= x+1 Show clearly all x- and…

A: Graphs are to be drawn first and then asymptotes and intercepts need to be marked.

Q: A company selling widgets has found that the number of items sold & depends upon the price p at…

A:

Q: Please answer

A:

Q: Transforming - Ⓒ S 1 = ²2²1dz 1+z² ℗ B / 1 + 2/2 d -dz 1-z² Ⓒ *2-2z² 1+z² (A) dx secx + C-²₁- -dz…

A:

Q: If f(x) = A B (C) tanx S 0 sec ³x 1+e tanx 1+tan²x 1+ e tanx 1+12 sec²x 1+e tanx In (coor) 1+ e'…

A:

Q: f(x) = Jax+b (2x²-1 if x < 2 if2 ≤ x

A:

Q: (Inverse Trigo, Higher Order Derivative, Chain Rule) Directions: Find the derivative of the…

A: The given problem is solved below in detail.

Q: Which of the following can be determined given f(x) dx = 5₁ x) dx = 5,₁ ₁ g(x)dx=7, and h(x) dx = -5

A:

Q: f(x) = 4x² 8x +3 - x²+x-12

A: The given function is f(x)=4x2-8x+3x2+x-12

Q: the integral: (u +3) du 1²5 -dx (3) √74³ cscxcotxdx

A: We have to find out integral