Let f(x, y) = 5e6x sin(4y) of дх of ду = =

Q: Solve the differential equation. y"-4y'-5y = 0, y(0) = 6, y'(0) = 6

A: We have to solve the given differential equation with the given initial conditions.

Q: Let f(x) = √29 - x. Compute f'(4) using the limit definition f'(4) = Find an equation of the tangent…

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Q: If f(t) = f'(t) = 8 t find f'(t).

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Q: y' = y = 5 t 2 1 + + t4 ✔t

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Q: (1) Suppose you lift a stone that has a mass of 5.9 kilograms off the floor onto a shelf that is 1.5…

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Q: The equation r(t) = (12 sin t) i + (5 cos t)j + (8t) k is the position of a particle in space at…

A: If r(t) is the position vector then velocity vector, v(t) = r'(t)Acceleration vector, a(t) = v'(t)

Q: Roughly 12,000 people in a certain country are diagnosed with thyroid cancer every year, which…

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Q: 11. Evaluate limä→5 19-2x-3 x-5

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Q: Use the function f and the given real number a to find (f ¹)'(a). (Hint: See Example 1. If an answer…

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Q: Let R be the plane region that is enclosed by y=x^2 and y=2x Set up, don't evaluate, an integral…

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Q: What is the largest set of real values r such that the sequence limn→∞r converges (a) 0≤r ≤ 1 (b) −1…

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Q: Q4. Let x denote the grams of gold obtained in a ton of ore. Consider the two events A = {0 < x < 3}…

A: As per our guidelines we are allowed to answer only three subparts of the given problem. Kindly…

Q: 20 cm-4-20 cm- Q₁ -8 μC The electric field at point A is zero. What is charge Q₁? Ο 432 με O-32 µC O…

A: Formula of electric field:-

Q: lim X-10 10x 10x *[-] X-10 10 = lim X-10 = lim X-10 10 X 10x 10x X-10 10-x 10x x-10

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Q: 14. Are the functions continuous on the given interval? 7 (a) f(x) = 3 x € [1,7] and (b) g(x)=2x²-₁,…

A: For a function to be continuous on a given domain D, the function need to have finite values for…

Q: A ball is thrown straight down from the top of a 462-foot building with an initial velocity of -16…

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Q: 3. 1 2 4 -3 Let A = and let f(x) 2x3 4x + 5, g(x) g(A). Remark. In the evaluation of f(A),…

A: A=[1   2     4    -3]f(x)=2x3-4x+5g(x)=x2+2x+1Findf(A) and g(A)

Q: Find f'(a). f(t) = Since f(t) Step 1 To find f'(a), we will use the formula f(t) - f(a) t-a 7t + 15…

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Q: form the follo x² + y²-2x-6y= 2

A: Given equation is as follows

Q: Consider the graph of f(x) given below: -6 پر f(z) dz - Number - 4 f(a) da - Number Number f(x) dx…

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Q: A differential equation is separable if it can be written in the form dy dx where g is a function of…

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Q: what about the second part? A rope is tied around the equator of Earth. A second rope circles Earth…

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Q: Estimate the instantaneous rate of change of f(x) = 3x² +5 at the point: x = 1 In other words,…

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Q: Evaluate the limit: lim (3z-5) 24-4 =

A: given infomation

Q: Check whether the function yesin¹ (5*) is a solution of the differential equation y' + y = - 5x the…

A: The given differential equation is

Q: A projectile is fired with an initial speed of 600 m/sec at an angle of elevation of 30°. Answer…

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Q: 7 2 x² +7 (a) (fog)(4) (b) (gof)(2) (c) (fof) (1) (d) (gog)(0) Given f(x)= |x and g(x)= find the…

A: Given ,  to find the following expressions:Note: Since the student has posted many sub-parts of the…

Q: 1. the base is the region bounded by y = 1-² and y = 0 4

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Q: Find the function y=y(x), y>2, which solves the initial value problem 4x2+(dy/dx)=2x^2y y(0)=7

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Q: Consider the differential equation y"-7y'-8y = 0. The characteristic equation is The solution(s) to…

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Q: A plane flies 1.3 hours at 120 mph on a bearing of 40°. It then turns and flies 1.5 hours at the…

A: The figure

Q: A projectile is fired with an initial speed of 550 m/sec at an angle of elevation of 60°. Answer…

A: We have the following dataTo determine: (c). How high overhead will the projectile be when it is 5km…

Q: The displacement from equilibrium of an object in harmonic motion on the end of a spring is given…

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Q: re rả lnxdr x

A: Here we have to evaluate the given improper integral.

Q: 4. Estimating limits graphically Use the graph off in the figure to evaluate the function or analyze…

A: We are authorized to answer three questions at a time. So we answer the first three sub parts.

Q: tan³ x sec¹ x dx

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Q: If f and g are continuous functions with f(-1) = 3 and the following limit, find g(-1) _lim [2f (x)…

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Q: -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 2 3 4 -5 In the above graph of y = f( x ), find the slope of…

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Q: Consider the points P(2,2,4) and Q(10,8,8). a. Find PQ and state your answer in two forms: (a, b, c)…

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Q: If f(x) = 4x² - 4x +3, find f'(0). Use this to find the equation of the tangent line to the parabola…

A: Given:

Q: A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end…

A: The given function is  and the interval is .The current situation can represents as shown below.

Q: | ?? T 1-x² dx

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Q: 818 18181171 81,81 c) = √x+8-4, x your work here ›-4- ƒ(x) = →-4+ f(x) =

A: Limits of the function

Q: r what value of a is the function f (t) = 08 O-15 O -30 O 24 t -a, -10 < t ≤ 3 t² + 8t, 3 < t < 10…

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Q: Find dx dx² for the given function. y = 4 csc(x)

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Q: Find dy/dx at the given point for the equation. x = y3 – 5y2 + 2, (-2,1)

A: Given, given point is (-2,1)formula of derivatives are '

Q: Let g(x)= x² and f(x):=x+2 for XER, and let h be the composite function h:= go.f A) Find the direct…

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Q: Has a diameter with endpoints A(-1, 4) and B(1, 2)

A: If the end points of the diameter are, then the equation of the circle is given by

Q: In Problems 11-14, solve the given initial-value problem. =y³x³, y(1)=2 11. xy2) dx

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Q: 2x² - 1 (a) lim X18 1-x²

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