Find the sum of the series 65+ 513 5/9 + LO 5 27 - 5 81 +

Q: or the system of differential equations do the following. p' = p(1-p-q), q' =q(2 3p-q), p, q≥ 0 of…

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Q: Find solutions to the equation 5 Tan²x + Tanx = 2 on interval [=17, 27). Round Solutions to 4…

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Q: 18) The graph of f(x) is shown. fox A) I only 4 B) 1:4 f¹=0 at X = ? c) 1; 4; 5: D) 143536

A: As per guideline only one question is allowed to solve if multiple question is asked in single…

Q: Use Variation of Parameter to find a particular solution for y"-4y'-12y=x

A: The given differential equation:y''-4y'-12y=xWe need to find the particular solution using variation…

Q: a. b. C. 1 2 3 456789 Find the domain. Find the range. Find the values of x such that f(x) = 6. *=*

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Q: dy 15. Determine the derivative dx for y = 3 cos(8x+6) Show your work.

A: The function is given by y = 3cos8x+6 To evaluate: the expression of dydx.

Q: Write Sk k: 4+8+12+...+ -0-0 Do not simplify.) Write SK+1. k+1:4+8+12+...+4(k+ 1) = Simplify your…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: If (2,-5) is a point on the graph of f(x), which of the following points MUST be on the graph of…

A: Given that point (2,-5) is a point on the graph of f(x).

Q: Solve the equation: 3*²-5x x = 3 x = 5 and x = -5 O x = -5 x = 3 and x = -5 || 27.

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Q: Let f(x) and g(x) be two functions that we know very little about. In fact, all we know is that…

A: Let fx and gx be two functions that we know very little about. In fact, all we know is that ∫12fx…

Q: X 16. Determine the equation of the tangent to the curve y=30* at the point with x-coordinate.

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Q: Find the Binomial series for 1 (1+x)²

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Q: dy y=-3 tan(-x-4) 17.Determine the derivative dx for

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Q: Consider the integral [32² In(x) dx: Applying the integration by parts technique, let u and dv Then…

A: To evaluate the integral ∫3x2 lnx dx by using integration by parts technique.

Q: -X d) xy' + (1 + x)y = e¯* sin(2x)

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Q: X Y 1 844 2 1259 3 1665 4 2314 5 3415 6 4517 Use regression to find an exponential equation that…

A: NOTE: Refresh your page if you can't see any equations. . X Y 1 844 2 1259 3 1665 4 2314…

Q: 1) The derivative of y = esec-12x, x > 0 is: a) 2e³ec-¹2x x√4x²-1 esec-12x b) x√4x²-1 C) x√16x²-1 d)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use area to evaluate the integral 7x • ! 0 dx = dx, b>0. ...

A: NOTE: Refresh your page if you can't see any equations. . the given function is  which is the…

Q: (D²+10D + 25)y = -2xe-5x

A: We have to solve the given differential equation.

Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: Find d²y 2 dx 3 y = ³√x

A: Given,            y=x3To find : Find d2ydx2

Q: Find dy/dx and dy/dx². x = e, y = te-t dy dx² For which values of t is the curve concave upward?…

A: Given query is to find indicated derivative.

Q: find either lim 5x3 x→∞ ex one that takes less time!) Find lim (1 +5)* X→∞ 5x3 x→0 ex-1 or lim using…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: Mary Toy borrowed $4,000 from her parents and repaid them $4,160 after 9 months. What simple…

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Q: Test the series below for convergence using the ratio test. 8 n=1 n+4 54n+4 The limit of the ratio…

A: Explanation of the answer is as follows

Q: Determine the open intervals on which the graph of the function f(x)= x²+64 is concave upward or…

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Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

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Q: If ln(z² – 8y) — z − y-2 and y(3) = 1, find y/(3) by implicit differentiation. (3) - An equation of…

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Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: The graph of one complete period of a cosine curve is given. y 3 f (a) Find the amplitude, period,…

A: We need to find equation of curve.

Q: Use mathematical induction to prove that the statement is true for every positive integer n. 4+1-4 3…

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Q: sin² 4y dy

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Q: the correct answer is b

A: Please see the below picture for detailed solution.

Q: Find the singular values 01 202 203 of 01 = 4. A = -4 09 ] -9 0-4

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Q: Find the critical point of the function f(x) = sin ¹2-72 in the interval 0 < z <1

A: Given query is to find critical points.

Q: U. Solve the given equation 1) sec x(2 sin x-√2)=0 T Answer: x==+2nk, 4 TT ak 3π x== +2 4

A: Given query is to find the solution of the expression.

Q: Find dy dx by implicit differentiation. x²+2x+11xy-y²= 16

A: We have to find dy/dx.

Q: Find the limit of f(x): lim f(x)= -2+ 8-1X 9- lim f(x)= X→∞0 (Type a simplified fraction.) 4 X (Type…

A: To evaluate: limx→∞fx and limx→-∞fx Given: fx=-2+3x9-4x2

Q: A) O B) i C of 4) Given g@=2, g'(3)=3, * P(x) = [90] 2, then P'(3) equals; A) 4 B) 6 c) 9 D) 12 E)…

A: Given; g(3)=2, g'(3)=3, p(x)=[g(x)]2.

Q: Find the distance between the points with polar coordinates (6, π/3) and (8, 2π/3).

A: formula for distance is  D=(x2-x1)2+(y2-y1)2in rectangular coordinates  x=rcosθ and y=rsinθgiven…

Q: 2. What is the slope of the tangent to f(x)=√√x-1 at (5,2)? Show your work. a. 1 C. 2 4 b. 1 2 d. 4

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Q: A sequence is defined recursively by do = -2, d₁ = 16, and dn = 4dn-2 for n ≥ 2. Use the…

A: Given:- dn=4dn-2 ,n≥2

Q: Find all relative extrema of the function f(x) = 3x4-36x³+ 5. Use the Second Derivative Test where…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1 So…

A: we need to find out the given integration by interpreting in the areas.

Q: given the sides of a right triangle ABC,C is the right angle AB= 17 and AC = 8

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Q: The velocity v(t) of a sprinter on a straight track is shown in the graph below. s(7) = 22 v(t) s(9)…

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Q: A cylindrical can is to have volume 2700 cubic centimeters. Determine the radius and the height…

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Q: Find the Laplace transform of f(t)=sin(2t) + cos (21)

A: we know  Lsin(kt)=ks2+k2Lcos(kt)=ss2+k2given  f(t)=sin(2t)+cos(2t)

Q: 5 If ["f(x) dx = 8.1 and ["f(x) dx = 3.7, find rox) f(x) dx.

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