If f(x) = f'(x) = f'(4) = tan x - 5 sec x 3x² tan(x) sec(x) X

Q: Find the indicated trapezoid approximations to the following integral. 18 [9x² 9x dx using n = 2, 4,…

A: Consider the given information.

Q: Evaluate the double integral over the given region R. (18y² - 10x)dA R: 0≤x≤4, 0≤y≤3 R SS (18y² -…

A: evaluate the double integral over the given region  R: 0   0

Q: Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X +

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Q: Determine if the series diverges. If it does diverge, type a upper case D as your answer, and if the…

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Q: 1 Ifh (r) = e*, then h' (r) =? 04 x O(z) = _ r2

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Q: Consider the following. f(x) = x² + 16 Find the critical numbers. (Enter your answers as a…

A: The function f is increasing on I if f'(x)>0 for all x in I.The function f is decreasing on I if…

Q: Find the total differential. 8x + y 3z - 2y dw = W = 8 3z-2y dx + 3z- - 4y - 16x (3z-2y)² Jdy + (7…

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Q: Use spherical coordinates. Evaluate JJJ y²z² dv, where E lies above the cone 4 = 1/3 and below the…

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Q: 2. (y +y²)dx - (y²- 2xy+x)dy = 0

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Q: Z₁ cos# = 2 V₁ 1 V +(x-2- sin e Z₁ cos Z₁ X + V₂ V₂ cos 9) +1/+ Z₁ 1 V. cose V 2 -sin 0 +

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Q: 2. Determine whether the series n Σ» (-1) (3) converges or diverges. If it converges, find the sum.

A: The given series is

Q: 1 3 2 1 a To find the blue shaded area above, we would calculate: ·b [ f(x) dx = area Where: f(x) =…

A: The given graph

Q: dy d²y Find and dx dx² x = t² + 2, y = t² + 3t dy dx d²y dx² For which values of t is the curve…

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Q: Evaluate the following integral using trigonometric substitution. x² √√64-x² S dx

A: I=∫x264−x2dx

Q: Q/ solve equations 1- y' = ky 2-x(1+y²) dx =y(1+x²) d;

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Q: ·b f(b) − ƒ(a) = f'(a)(b − a) – ſå ƒ"(x)(x − b)dx - a

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Q: b.Let f(x)=x²-3x² -1, x ≥ 2. Find the value of af dx at x = -1.

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Q: Labor. Refer to Table 4. (A) Find the average rate of change of weekly hours from 1980 to 1990.…

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Q: 1. x dy dx – 4у = х6 ex 9x

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Q: f has ---Select--- 2 (Order your answers so the x-coordinates are in order from least to greatest.)…

A: Absolute maxima :Absolute maximum is the highest point or value of a function within its entire…

Q: If f(x) is a linear function, f(-2) = 4, and f(3) = 2, find an equation for f(x) f(x) =

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Q: An island is located 42 miles N26°10W of a city. A freighter in distress radios its position as…

A: The figure

Q: 10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as…

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Q: Suppose f(x, y) = (x - y) (25 - xy). Answer the following. Each answer should be a list of points…

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Q: -3 3 -3 I У X

A: From the given graph The horizontal asymptote is The vertical asymptotes are and

Q: Determine the inverse Laplace transform: F(s) = 4/s2 - 5/(s + 1)

A: To determine the inverse Laplace transform.

Q: The line given by the parametric equations x= 3+2t, y=4-t, z=1 + 3t passes through the point (11, 8,…

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Q: Show that the function is increasing on the given open interval. (Enter your answers as a…

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Q: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

A: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

Q: 1 V₁ V2 = 2(+/-+- (1 (v₁/v₂) = 2 sin = -2V²-V²_2₁ Z₁ cos 1 =2²₁√√√√²₁ X Z₁ + V/₂ √/1-(V₁/V₂)² V₂ V2…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Step 3 Write the two binomial factors so that the first term of each factor is x and the second…

A: To write the complete factorization of

Q: a 5. At 2:00 PM jogging at 8.5 mph. starts from the same place, heading East at 60 mph. the driver…

A: At 2:00 PM a runner heads east on a highway, jogging at 8.5 mph. At 3:00 PM, a driver starts from…

Q: The graph of y = f(x) is given below. -5 150 num -4 lim f(x) AI-1 -3 -2 5 4 3 2 -1 -1/ 1 2 4…

A: A graph of the function  is given.The aim is to find the given limits.

Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√y+3

A: To find and to sketch the domain of the following function.Note: Since the student has posted…

Q: If y = cos² 3x, then =? dy dx dy dx O dy dx dy dx = 6 cos 3x = = -2 cos 3x -6 sin(3x) cos(3x)

A: Given,

Q: If u and v are the vectors below, solve the following equation for the vector x. 2 4 u= -1 v=|–1 5…

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Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t), -t, -4sin(3t)] when t = 0. (b)…

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: Consider the curve

Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O-4 and 2…

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Q: (b) Isolate дет 11 2x 5 = 1/2gt²2² + vt

A: To isolate  in the following equation.

Q: 3 11 (1 + ³²) ² lim (1+

A: L=limx→∞(1+3x)x11

Q: Use the alternative form of the derivative to find the derivative of the function f(x) = x³ + 8x, X…

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Q: Find the ² points on the curve y = (x − 1)(x² −4) where the tangent line is parallel to y = −4x.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: f(x)=x²8x² + 5

A: f(x)=x4−8x2+5

Q: Find the lines that are tangent to the curve y=2tan(pi*x/2) at x=1

A: The equation of tangent line passes through point  with slope

Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: Use the quadratic formula to solve the equation. Give two forms for each solution: an expression…

A: The given quadratic equation is

Q: Find the form of (but do not solve for any coefficients in) the appropriate particular solution Y…

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Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

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