By the fests. 2. a³y = x²(2a² – x²)

Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

A: Here, to find the interval when the hummingbird speeding up.  

Q: 4. Verify. COSX 1+sinx = 2secx %D а. 1+sinx COSX b. cosx(1+ tanx)² = secx + 2sinx %3D

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Q: 3 2 y X-3x-x t3 From X = -1 to X= 8

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Q: What is the integrating factor for the differential equation? dy dt + 9ty = ety

A: Comparing with dy/dx+p(x)y=q(x)  Then integrating factor=eintegration p(x) dx

Q: Is the differential equation linear? y' = y + ey

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Q: Selected values of f(x) are shown in the table below. What is the e10 trapezoidal sum approximation ...

A: We have to find ∫410f(x)dx  

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Q: Let f be a differentiable function such that f(+5) =-9 and f'(x) = 2x + 8. What is the approximation...

A: Given query is to find the value of f(-4.9).

Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty +...

A: The standard form of a first-order differential equation is dydt+g(t)y=h(t)or, y'+g(t)y=h(t)      .....

Q: Find the exact value of sin20 given sece = 5/21 and csce > 0 21 - Solve tho nauation

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Q: Find the domain of the function using interval notation.   f(x)=−2x(x−3)(x−5)

A: Since f(x) = -2x(x-3)(x-5)  is a cubic polynomial. And we know that the domain of all polynomial fun...

Q: Let f(x) = 4 sec(7x) f'(x) =

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Q: Explain why the integral is improper. 8. dx (x - 7)3/2 140 120 100 y 80- 60 40 20 O At least one of ...

A: Improper integral: If f(x) is continuous on the interval (a,b] and not continuous at x=a then,      ...

Q: If (an)? – (an-1)(an+1) = (-2)" for n>1 and ao = a1= 1 then az = a ) 0 b) 5 c)-3 d) 1 e) none a b. o...

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Q: Is the differential equation linear? dy dt + y2 = x

A: The given differential equation,     dydt+y2=x

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Q: Solve the following equation on the interval [0,2) a. V3cosecsce = 2cos0 11. b. 2 sin2 x - 7sinx + 3...

A: a) 3 cosθ cscθ=2 cosθb) 2sin2x-7sinx+3=0

Q: Shaw Abooraically that Fand 6 ace.ivee F)=-3x2+5,X20 gW=D5-x 3. theN explain why a restriction was p...

A: if we have to find inverse of function then interchange the x to y and we get f-1x.if y=fxx→yx=fyy=f...

Q: Exercise 2 Find symmetric equations of the normal line to the surface 4 + y – 162 = 0 at (2,4,2). (a...

A: Given surface is     4x2+y2-16z = 0We will find the symmetric equation of the normal line to the sur...

Q: Find the equation of the tangent to the curve y=xcosx at x= 7. Use exact values in your answer f app...

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Q: ALFind the equation of the tangent plane to the surface z = e/7 In(ly) at the point (-3, 1,0). Note:...

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Q: Find (f-1)'(a) for f(x) = ーX-3 when a = 3x +2 (Enter an exact answer.) Provide your answer below: ((...

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Q: -6 -5 4 The plot above is created with the parametric equations S¤(t) = a cos(bt) y(t) = c sin(dt) T...

A: Solve the following

Q: 2. Consider the series E (In(2n + 1) – In(2n – 1)) . n=1 (a) Let a, = In(2n + 1) – In(2n – 1). Does ...

A: If limntends to ♾️ an not tends to zero then series is not convergent.  Here an is nth partial sum o...

Q: (1+4er²)(3-e+²)x er2 dx

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Q: (7) Use the definition of convergence for a series to prove that 2 n2 + 4n + 3 n=0 converges. Find t...

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Q: c) lim d) lim x→0 tan 3x Зх -5

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Q: x+4 5. S #dx

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Q: Evaluate the series or state that it diverges. 00 3 Σ (0.4)*. k= 0 ... Select the correct choice bel...

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Q: Please answer number 1 and 2.

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Q: Determine the convergence or divergence of the following series. 1 (a) ► (Use Integral Test.) n(In n...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Find the exact value of cos20 given csce = – -- and tane > 0 Simplify the trigonometric expression c...

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Q: Find the differential equation for the family of: 1. Cav.. HAIS 2. 3. Curves cy? = x²(x - a) in whic...

A: Differentiate given curve with respect to x.  And eliminate a. 

Q: A ball is thrown into the air with an initial velocity of 32 feet per second, from a height of 100 f...

A: Given query is to find the time taken for ba to hit the ground.

Q: Show that w is in span(B) and find the coordinates of w with respect to B. B = 6.

A: Linear Algebra

Q: 2. f(x) = V2x + 3, a = 3 %3D

A: 2) f(x)=2x+3,  a=3  slope of tangent line is m= dydxm=122x+3×2   m=12x+3Substitute x=3⇒m=12(3)+3    ...

Q: Given the function f(x) = 2x +36x² – 78x, determine all intervals on which f is both increasing and ...

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Q: Find the equation of the tangent plane to the surface z = e17 In(1y) at the point (-3, 1,0). Note: Y...

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Q: Solve the differential equation y y' = - + sin sin ()

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Q: your complete solution. 1. f(x) = 3x2 – 2, a = 1 %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: sin x + 10(csc x)² dx

A: To compute: ∫(sin x+10(csc x)2)dx

Q: A famous leaning tower was originally 186.5 feet high. At a distance of 128 feet from the base of th...

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: According to our guidelines we can solve only three question. (1)y=3x2, y=0 and x=3Area=∫033x2dx    ...

Q: Find the general solution of the system y' = Ay where A = 1 2 -1 4 y(t) = c1e' + c2et y(t) = c1e2t 2...

A: Here, the given system is: y'=Ay where A=12-14

Q: 16. | (ez/a – e-xla)dx. n/3 sec 0 tan 0 do. Vesec e 17.

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Q: Find the differential of the function w = I sin(2yz). dw = dy + dz + xp Note: Your answers should be...

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Q: Evaluate the expression gP6 8P 9.

A:  Question: Evaluate the expression 8P6

Q: Determine Increasing/Decreasing and Concavity Mar 20, 9:26:08 PM Watch help video Given the function...

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Q: List down the steps in stimulating a secant method with explanation.

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Q: 1. Let f(x) = (Use sqrt(N) to write VN) V5x2 + 4x + 8 f'(x) = > Next Question

A: Given query is to find the derivative of the f(x)