53 2 5 -4 -3 -2 -1 U V 2 3 Q Find the components of the addition of the two vectors u and v shown.

Q: A ball is thrown upward in the air, and its height above the ground after t seconds is H (t) = 75 ⋅…

A: Given  height above the ground after t seconds is H(t)=75t - 16t^2 feet. To find the time when the…

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Q: Express the integrand as a sum of partial fractions and then evaluate the integral. 10x² - 1 S 4 X X…

A: Given integral : ∫-10x2x4-1dx To find: The value of given integral using partial fraction. Let I =…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. y² + 8y +49 (y² +49)²…

A: The given integral is:∫y2+8y+49y2+492 dy

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Let speed of airplane = V speed of wind = W

Q: a) f(t) = -1 0≤t0' c) f(t) = ) = 0 t0¹ e) f(t) = e³¹.cos(5t); f) f(t) = sen(t).u(t – 2π);

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Q: Find the inflection point for the function shown below. If there are more than one, be sure to…

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Q: Find the volume of the solid obtained by 8x², rotating the region bounded by y = x = 1, x 2, and y =…

A: The given data is: y=8x2x=1x=2y=0

Q: Determine if the function f(x) = 2+2x– x³ satisfies the hypotheses of the Mean Value Theorem (MVT)…

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Q: Find the derivate of the function: a) f(t) = ₁ (t²-a) 8 F'(() = b) f(x) = 7 (x²³ - 7 x² + 4) 2 f'(x)…

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Q: [√² √sec²z - 1

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Q: d Q10 Compute [3t²] (a) 3t² (b) 6t (c) 0 (d) 9t

A: We need to perform differentiation.

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Q: Question 16 ( Find the slope of this line. Part 2- Full solution problems. A line with positive…

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Q: 1

A: We have to simplify and write in x according to the given information.

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: 3. Evaluate the limit for the graph: lim f(x). x+1* y 4 2 01 -2 2 48 x

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Q: Suppose that f (x, y) = x³y². The directional derivative of f (x, y) in the directional (-3, 3) and…

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Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: For x approaching c from the left, x<c  ⇒  x-c5<0The denominator is a negative  approaching…

Q: Find the derivative of the function. y' = y = etan(e)

A: We use chain rule to find the derivative of the following function.  dftdθ=dfdt·dtdθ also use the…

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Q: 3. Select the sine wave so the parent function is f(x) = sin (x). Start with a and b both set to 1.…

A: We have to draw the graph of sine wave with the changing values of b.

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Given function f( x ) = 36-x2

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: A function y=f(x) is said to be increasing in the interval (a,b) if for every x∈(a,b), f'(x)>0.…

Q: 31. The surface area of an inflating weather balloon is described by A(x) = 4x² - 1 where x is the…

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Q: Consider the function f(x) = 1−3x², -3 ≤ x ≤ 1. Use the derivatives to algebraically answer the…

A: Given, As per given question we need to find the extreme points of the function fx=1-3x2 on the…

Q: 15

A: Given: The instantaneous rate of change is determined by finding the difference quotient over a very…

Q: Find f'(x) and simplify. X x + 36 f(x) = Which of the following shows the correct application of the…

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Q: Consider the function f(x) = 12x5 + 75x¹ – 120x³ +4. f(x) has inflection points at (reading from…

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Q: Evaluate lim x→∞ _x3 _ 5x2 +52 – 2 x² + 4x +3 =

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Q: 2 Functions f and g are defined by f(x)=2(3+1)₁³ ,x+0 and 1 g(x)==-=-3₁ X≠3 respectively. (a) Find f…

A: The given functions are:f(x)=23+1x ;    x≠0       and        g(x)=1x-3 ;     x≠3

Q: 4. Evaluate the limit, if it exists: lim x+1 a. 1 b. -1 x²-3x+2 x-1 c. d. 0 does not exist

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Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: Given: g(x) = x+5x2-25 The function does not exist when their denominator is zero. That is,…

Q: (6x² - 4)² 24x dx

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Q: Let f(x) = 7x sin(x) cos(x). Evaluate 3TT f'(x) at x = 3³77₁ ƒ' (³)

A: f(x)=7xsinxcosxd dx(sinx)=cosxd dx(cosx)=-sinxd dx(a.b)=adbdx+bdadx

Q: Q14 Find the equation of the tangent line to the curve f(x) = 2x²(x − 3) at x = 1.

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Q: The number of hits on a certain website​ (in thousands) is approximated by f(x)=30e^0.171x​, where…

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Q: Consider the function f(x)= x4-98x² + 11, and an absolute maximum value equal to -6<x< 15. This…

A: Given: fx=x4-98x2+11, -6≤x≤15   Use the Power Rule: ddxxn=nxn-1

Q: A 200-foot cable weighing 5 pounds per foot is hanging from a winch 200 feet above ground level.…

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Q: - Find the inflection points of f(x) = 2x¹ + 10r³ — 18r² + 7. (Give your answers as a comma…

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Q: Suppose that f (x, y) = xy. The directional derivative of f(x, y) in the directional (1,-4) and at…

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Q: Evaluate the integral. cos y dy 2 sin y + 3 siny-4 S

A: To evaluate∫cosysin2y+3siny-28dy

Q: Given c = - 2 + 10j and u = -107 + 3j, find |e+u and le| + |ú. Give EXACT answers. You do NOT have…

A: I have solved step by step in detail....go through the solution

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 5x sin(xy)…

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Q: given by C(x) = -0.07x² + 75x. Find C(288) C(287) Interpret the result

A: we will find the required.

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: To find out the critical points, increasing and decreasing intervals and also the extrema and at…

Q: x ». Let g(t) be the function whose graph is given below. Let G(x) = g(t) dt, 0 ≤ x ≤ 5. Where does…

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Q: A tank contains 500 gallons of salt-free water. A brine containing 0.25 lb of salt per gallon runs…

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Q: 16 cos 6nt dt = [

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Q: Evaluate the triple integral. JJL. TV₂ where G is the solid in the first octant that is bounded by…

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