Find the exact area of the region that lies beneath the curve y=7x−4,   1≤x≤6 Area=___________________

Q: Subject: Pre-calculation  Specific Topic: Functions and their Graphs Hello :) The questions are in…

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Q: Compute the indefinite integral fe-4² -4x dx

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Q: Find the particular solution for the differential equation = at y = 2 and x = 0. dy 5x² dx 9y The…

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Q: The function s(t) = (t^2+t)^2/3, t >= 0 represents the displacement, s, in metres, of a particle…

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Q: Convert the point (r, 0, z) = 6, 5п 6 - 3

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Q: Exponential Growth Given that a quantity Q(t) is described by the exponential growth funct 500e0.01t…

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Q: Use technology to obtain approximate solutions graphically. All solutions should be accurate to one…

A: we use Geogebra to find the point of intersection of the line through (0,1) and (4.3,2) and the line…

Q: 3) Consider the function g(x) = cos(3x). a. Write the first three non-zero terms of the Maclaurin…

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Q: Find all possible functions with the given derivative. 1.   If y′=x, then y = _______________ 2.…

A: We are required to find the value of y in each case: 1. y'=x2. y'=x23. y'=x3

Q: 9. One of the fundamental themes of calculus is to find the slope of the tangent line to a curve at…

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Q: Find all the zeros of the function f(x) = x² + 14 O√14.-14 O 14, -14 O 14,-14 i√14.-√14

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Q: 2. Let f(x) = - X Approximate f(x) by a Taylor polynomial with degree 3 at a = 1.

A: given  f(x)=1x,  given a=1the formula for taylor polynomail with degree 3 at…

Q: Find the absolute maximum of the function f(x) = x + (1 − x)|x - 6| on the interval [1,7]. - 06 O O…

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Q: TT Compute the integral: - -TT sin t 1+ t dt (Hint: sin(t) = sin(t))

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Q: A newspaper is launching a new advertising campaign in order to increase the number of daily…

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Q: 14. Find the interval and radius of converence for 3x √n+1 n=0

A: The given series is:∑n=0∞ (-3)nxnn+1

Q: 5. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. a) S…

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Q: Which of the following functions could make the graph of: A -6 O f(x) = x³ + 2x²+x+2 O f(x)=x²+2x³ +…

A: We have to find the equation of the function f(x)

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your…

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Q: 42. f(x, y) if f(x, y) = x² +9y² – 4 2

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Q: Evaluate cos(2x) dx. Show how to do this by hand, and round the final answer to 3 decimal places.

A: ∫12cos2xdx

Q: Use the Laplace transform to solve the initial value problem. 18. y' + 2y = 26 sin 3t, y(0) = 3 20.…

A: eat ↔LT 1s-ateat ↔LT 1s-a2

Q: A particle moves in the xy-plane so that its position at any time t is given by the parametric…

A: The position of the particle is given by the parametric equation:x'(t)=(t-1)et2      and…

Q: Find the area of the region bounded by the graphs of the equations. y = -x² + 10x, y = 0 Xx 166.67

A: y=-x^2+10x,y=0

Q: If F(t) = -1 16 (s(s²+4). (A) 4 then F ·(). (B) 8 = (C) 0 (D) -2

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Q: Find the curvature of the curve F(t) = (5 cos(t), 5 sin(t), 2t) at the point t = 0 Give your answer…

A: Vector r(t)=<5cos(t),5sin(t),2t>  We have to find curvature of curve r(t)

Q: 13. The marginal cost of production for a new skateboard is MC(q) = 2q+75 and the fixed cost is…

A: The marginal cost of production for a new skateboard is MCq=2q+75 and the fixedcost is $2,000. (1)…

Q: 13. f(x, y)=x²-2y³ - 5x+6y-5

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Q: Given F(x) below, find F'(x). F(x) = [*21² cos³ (1) dt

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Q: Use spherical coordinates. Find the volume of the part of the ball p sa that lies between the cones…

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Q: Question Given du = ux² where u(3) = 1, solve for u. dx Provide your answer below: u=

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Q: 8. 14 YA 3- 2- 1 0 -1 -2 -3. प Evaluate the definite integral by using geometric formulas. 1-x-1|…

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Q: If £{√t³} = 35. 3 √π (A) ² (s+1)ž 27, then £{e²√t³} = S2 3 √π (S-1)2 (B) - 3 √π (C)²4 (5-1)s2 (D) 3…

A: ℒt3=3π4s52

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t²3t-18, where 0…

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Q: a) Calculate the exact area bounded by the x-axis and the graph of y=15-8x+x^2…

A: Since, you have posted multiple questions. As per guidelines, we are supposed to answer only first…

Q: Growth of Bacteria The growth rate of Escherichia coli, a common bacterium found in the human…

A: The growth rate of Escherichia coli, a common bacterium found in the human  intestine, is…

Q: f(x)= x² x-1

A: Function is  f(x)= x^2/(x-1)

Q: lim x →±∞ 3x+1 4x²-1

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Q: 1 X ƒ (t) dt = 1 – 1 418

A: Given:  ∫1xft dt=1-1x To Find:  To find ft.

Q: Set up the formula to find the balance after 8 years for a total of $12,000 invested at an annual…

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Q: . Consider the parametric curve defined for all real t by x = t³ + 1 and y = 2t + t. Find the…

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Q: Find the tangent plane to the equation z = 2= Calculator = 4x² + y² - 2y at the point (2,-4,40)…

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Q: Preston's Leatherworks find that the cost, in $, of producing × belts is given by C(x) = 750 + 34x…

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Q: Consider the equation below. 7 6 + 3 cos (6) (a) Find the eccentricity. e= r= (b) Identify the…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: If F(t) = (A) 2 L-1 2s+10 (524503+34) then F(0) = (B)-2 (C) 1 (D) -1

A: Given: L-12s+10s2+10s+34 To find: f(0)

Q: nswer as a whole or exact number.) nt: m

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Q: Use the Right hand Reimann Integration technique to evaluate [² (x² - 4x) dx

A: ∫12x2-4xdx

Q: The velocity of a car is given by: v(t) = 60[1- (0.7)], where v is measured in m/s and tis measured…

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