5x - 3 √(x+ - 4x³ + 14x² - 20x + 25) - - dx

Q: If f '(4) = 0 and f '(x) 0 for 4 < x < 5 then f has a local minimum at x = 4. True False

A: If f '(4) = 0 and f '(x) &lt; 0 for 0 &lt; x &lt; 4 and f '(x) &gt; 0 for 4 &lt; x &lt; 5 then f has…

Q: Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

A: If the focus and the vertex has same y-coordinate then the equation of a parabola can be given as…

Q: An elliptical plot of garden has a semi-major axis of 6m and a semi-minor axis of 4.8m. If these are…

A: Given :   Semi major axis of ellipse = 6m and semi minor =4.8 m

Q: BASIC Find a general formula for f. f(x) = 5x² ex (Use symbolic notation and fractions where…

A: We know, d/dx{xn}=nx(n-1), for any real number n  And d/dx{emx}=memx, for any real number m.

Q: me he Value of 4 Eth 4E f(a) integral 1=1,3 2 xex dx using Simpson's methhod when n = 8 is 65.3690…

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Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

A: Factor the equation

Q: 03: Evaluate the following integrals dx (1) √√₂√x (1+√x)²³ S=

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Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

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Q: d.x (1) √₂√(1+√5)²

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Q: Differentiate: 1. y = x³ (5.4)*

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Q: Calculate the future value of end-of-month payments of $500 made for 4 years into an investment fund…

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Q: = √x Q3-Find the volume of the solid (x + y) bounded by y = x = 3 and

A: Follow the procedure given below.

Q: 1.- 2. Zeros are 2 and - 3 X -2 -1 3. y 10 5 2 0 1 A. f(x) = x² + 1 B. f(x) = x²+2x-3 C. f(x) = 2x²…

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Q: To find the volume formed by the function z=f(x, y) = x²y over the triangular region bounded by the…

A: Given problem:- To find the volume formed by the function z= f(x,y)=x2y over the triangular region…

Q: An investment of $14,000 is growing at 4% compounded quarterly. a. Calculate the maturity value of…

A: An investment of $14,000 is growing at 4% compounded quartely.

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: I don't understand the answer written in this format. Could someone please write the answer and…

A: Rewriting the solution

Q: Solve the given differential equation by separation of variables. dy X- = dx 8y Cx8 X

A: We have to solve the differential by separable method

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: Q2-Solve the differential equation dy = y - xcos² (2 dx x

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Q: (6) Solve the following differential equations of y jus 2 (2x² + y)dx + (x²y-x)dy=0 3- - 4.

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Q: O cos y (cos x + 1)

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Q: Given the function y = 8/x4. (Sketch the graph) a. Find the plane area bounded by the lines x = 1,…

A: As per the company guidelines We can first three parts  only. Please understand. Kindly repost the…

Q: Find the volume generated by revolving the given plane area about the given line, using: I.) Sketch…

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Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 14 ft/sec 12 ft…

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Q: 06: a: Let A = Find (2A-I)B' 3 0 11 0 1 2 -1 1 5 =[₁ B = -2 0 3 2

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Q: Find the values of the trigonometric functions of 8 from the information given. tan 0 = - 8 15 cos 0…

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Q: Which of the following sequences represents an arithmetic sequence with a common difference d = -3?…

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Q: Find the slope of the line tangent to the graph y=In(4x³+5x-14) at x = -1. Enter your answer as an…

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Q: (i) Find f(4). Select the correct choice below, and fill in the answer box if necessary. OA. f(4)=…

A: We have to find the limits.

Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $110 per barrel. If…

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Q: Assume x and y are functions of t. Evaluate dt dx 3 y = 2x +93, dt = 2, x = 5, y = 7 (Round to two…

A: Given: y3=2x3+93 ; dxdt=2, x=5, y=7.

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: The profit function (in millions) for a beverage company for the years 2008 through 2015 can be…

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Q: dv -x +z=lz N

A: Given :dvdz=e-xz

Q: na tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is…

A: We use here properties of triangle to find the angle between spectator and hole

Q: A function is of the form y = sin(kx), where x is in units of radians. If the value of k is 3.70,…

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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

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Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

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Q: 8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² –…

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Q: Find the aera under the curve y = cosx fx sec²(ax² )dx a #0 Form x = 0 to x = 7/

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Q: 04: Find dy/dx for the following function:: (Choose only four) (1) y = sinh1(tanx) (2) y = 7esv2x+3…

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Q: At age 35, Ronald earns his MBA and accepts a position as a vice president of an asphalt company.…

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Q: What is the sum of the first 14 terms of the series 9+2-5-12-19-...? O-25 O-98 O-511 O-518

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Q: Find laplase 4-f(t)=e²¹.t³.

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Q: The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…

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Q: Find the inflection point(s), if any, of the function. Enter your answers as (x, y). If there are no…

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Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

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Q: Problem 2. Find an equation for the plane that passes through points (1,4, 1), (1, 7,3), (3, 9, 1)

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Q: dx (2x-3)√5-12x+4x² 6. f

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