Which functions are not invertible? y=tan(2x) Dy=2-5e-2 y = x(x² - 4) f(x) is the volume in liters of a kg of water at 4°C at sea level. f(w) is the cost of mailing a letter weighing w grams.

Q: Solve the given differential equation by separation of variables. 1 y In(x) dx = (v + ¹)² dy x³ln(x)…

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Q: t said to use x 4

A: To solve the questions.

Q: Bill Casler bought a $6000, 9-month certificate of deposit (CD) that would earn 9.2% annual simple…

A: As per our guidelines we are supposed to answer only one question at a time. Solution of 1st subpart…

Q: Use the formula T = T(t) = [r'(t) = r²(e)] - '"(t) x Ir'(t) x r"(t)|2 T(0) = r(t) = 7t, to find the…

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Q: Use the chain rule to find əz Əs z = (x - y)², x = s²t, y = st² дz at = and az z =…

A: ∂z∂s = ∂z∂x×∂x∂s using chain rulewhere∂z∂x is partial differentiation of z with respect to x keeping…

Q: [ f(x) dx 3 Given that 1 ≤ f(x) ≤ 4 for 3 ≤ x ≤ 7, estimate the value of ] ≤ [ f(x)da <

A: Estimated value formula m(b-a)&lt;=int_a^b f(x) dx&lt;= M(b-a)

Q: g(y) y - 1 y²y + 1 2

A: to find critical points of gy=y-1y2-y+1

Q: Use the Midpoint Rule with m = n = 2 to estimate the value for R= [0,8] × [0, 6] X Submit Question…

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Q: A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the…

A: Given          parametric equations…

Q: An general equation for the plane passing through the points (0, –1, 2), (−1, −5, 4), and (2, –4, 3)…

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Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Ft=A·ert     Ft=19000·e0.094·t   A.  For t = 9 Ft=19000·e0.094·t=19000·  e0.094·  9=44275.83

Q: Determine whether a given series converges or diverges.

A: Given: ∑n=1∞2n3-19n+1 We are required to find: Whether the given series converges or diverges.

Q: Find the parametric and symmetric equations for the line passing through the point P(1,-3,6) and it…

A: Equation of the line passing through the one  point and parallel to the given line

Q: f(3) = lim f(x)= x-3 f(5) lim f(x)= x-5 lim f(x)= lim f(x)= x-3° lim f(x) = x-5 lim f(x)= 1-5 M lim…

A: When function continuous at x=1⇒limx→afx=faOR⇒limx→a-fx=limx→a+fx=fx

Q: 3. Differentiate the following exponential function without simplifying f(x)=√(e*)(2x)

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Q: Find the mass of the two-dimensional a density function of p(x)= x³-5x + 6. object. An oversized…

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Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the…

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Q: In this problem, x = C₁ cos t + c₂ sint is a two-parameter family of solutions of the second-order…

A: We will find the general solution .

Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

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Q: A plane has parametric equations x = 2-s + 3t = 4 + 3s-t y z = -5 + 2t where s, t E R a) Find the…

A: We need to find the scalar equation of the plane from given parametric form and find the value of k.

Q: [b] Take a limit of the standard slope formula, as shown below, to find the instantaneous rate of…

A: The given function is gx=x2+2x. To find the derivative at x=2 and the equation of tangent line at…

Q: - Consider the surface F(x, y, z) = x626 + sin(y³z6) — 10 = 0. Find the following partial…

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Q: Work of 3 Joules is done in stretching a spring from its natural length to 19 cm beyond its natural…

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Q: 2 e3t cos(400nt) 8(t – 1)dt

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Q: The total number of acres of genetically modified crops grown worldwide from 1997 to 2003 was…

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Q: (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. What…

A: Given, To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. Then…

Q: A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off…

A: dθdt=0.1 rad/min In ∆ABC…

Q: - 4 f(x) = (x+5)(BX- 7) 3_t46)(Ibt n )2 اہیے را

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Q: Question 4 Given that v = (0, -2) and w=(5, -8), what is w - v? A B C D (-5, -6) (-5, 6) (5,6)…

A: v =&lt;0,-2&gt; w = &lt;5,-8&gt; We have to find w-v

Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) 2x +9y 5x – 2y

A: given function is f(x,y)=2x+9y5x-2y

Q: Given the function f(x) = 18x + 3, determine the intervals where increasing and decreasing, and the…

A: The function  fx=-2x3-12x2-18x+3⇒f'x=-6x2-24x-18=-6x2+4x+3=-6x+3x+1⇒f''x=-12x-24=-12x+2

Q: I. Find the given vector. 1. e, where v = (4, -2, -1). 2. Unit vector in the direction opposite to v…

A: 1. v=4,-2,-1 2. v=-4,4,2

Q: Cheap Chips Corp. monthly profit (in dollars) derived from the production and sale of device model…

A: Cheap Chips Corp. monthly profit (in dollars) derived from the production  and sale of device model…

Q: company has revenue function R(x)=8000x-40x2-x3 (in dollars) wehre x is the number of items sold. A…

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Q: 4. (a) (i) Determine the Maclaurin series for sin (2²) up to 2¹4 term. (You may use the Maclaurin…

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Q: Find the vector parametrization r(t) of the line L that passes through the points (4, 1, 2) and (9,…

A: The line L passes through points 4,1,2 and 9,3,7

Q: Compute 1. x²ex³dx.

A: ∫-∞0x2ex3dx

Q: Find the value of c that makes the function continuous at x = 0. 8x - 4 sin 2x 7x³ C= f(x) = X #0 X…

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Q: ƒ(x) = x + 1 X

A: fx=x+1x

Q: If a company has total costs C(x) = 40,000+ 15x + 0.2x2 and total revenues given by R(x) = 595x…

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Q: Given the function f(x) = −2x³ +96x +1, determine the intervals where the function is increasing and…

A: f(x)= -2x3+96x+1 We have to find interval of increasing or decreasing of function and also interval…

Q: Determine whether the three points P = (-5, -4,-3), Q = (-8,-10, -12), R = (-11, -15, -21) are…

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Q: A separable differential equation is a first-order differential equation that can be algebraically…

A: Separable differential equation = ?

Q: sin 3t. ln(sint) −i+ In(tant) lim +0+ sin 2t - j + (tlnt)k

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Q: 3. Compute the area bounded by the three leaf rose curve given by r(0)=5sin30. Compute the area…

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Q: -g(x) = x¹/3 — x-2/3

A: g(x) = x1/3 -  x-2/3

Q: Suppose f(x) = 2 + 8x². Determine, in a simplified form, each of the following: (a) f(a) = (b)…

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: Here we have given a logarithmic expression: ln7+ln7x2-6=ln39 Properties we will use here are given…

Q: Q6 Use the graphs below to fill in blank. Write DNE" for Does Not Exist" or NEI" for Not Enough…

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