Evaluate the definite integral ANSWER: Blank 1 [₁ Blank 1 Add your answer esin k-1 cos k dk

Q: Evaluate the integral 20 fx³² (x³ – 5) 2⁰ da by making the substitution u = x = x³ – 5. + C NOTE:…

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Q: 15 If ƒ [ f(x) dx = 1/2 and ["f(x) dx = 5, then [*f(x) dx =? A) 9/2 B) 5/2 (C) 19/2 (D) 25/2

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Q: Un n→∞ Un If lim Σun is divergent. n=1 n= no conclusion can be made. = Both 0 and Un = Un is…

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Q: Evaluate each of the following definite integrals by using its geometric interpretation. 13 (a) f.¹³…

A: Let's evaluate the given definite integral by using its geometric interpretation.

Q: Solve the FIRST ORDER LINEAR D.E. sin e Linear in r dr de = -1- 2rcos 0

A: To solve the given linear differential equation

Q: Determine if the series converges or diverges. If the series converges, give its value.

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

Q: Find the dot product and the angle between the vectors, ū and v. 2. (3,-5), (7,4) 3. (-3,0), (5,7)…

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Q: A flat metal plate is mounted on a coordinate plane. The temperature of the plate, in degrees…

A: Solve the following

Q: Why does I1 = ln(u) in step three?

A: We have to tell why does  I1 = ln(u) in step 3

Q: The velocity function (in meters per second) for a particle moving along a line is given by v(t) =…

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

Q: Find the equation of the tangent line to the parabola y 2x2x+3 at x = 2. Circle your final answer

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Q: Find an equation of the hyperbola that has vertices (0, 3) and foci (0, +4). Equation: = 1

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Q: Given f(x) = ax³ + bx. Find a so that f has a relative extremum value (d.) 17/06 at (2,-1). (a.)…

A: Given:      fx=ax3+bx Relative extremum value at 2,-1 To be a relative extremum, f'x=0 For the value…

Q: For f(x, y) = e²¹+¹5%, find the second order partial derivatives fry and fyz of the function. O…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Find the flux of the constant vector field =-i-2j+2k through a square plate of area 9 in the…

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Q: (a) [ 18 18x5 sin (9x²) dx

A: Let's solve given integral.

Q: 4. FIND THE 2ND DERIVATIVE f(x)= (3x²-2)bog (3x²-2); x Solution: x=1

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Q: Suppose g(x) is given by the following graph. y 1.0 0.5 -0.5 -1.0 -1.5 -2.0 (a) Compute each of the…

A: To find the values of definite integral of function g(x) whose graph is given

Q: G Question 1 Priv Tern You have $400,000 saved for retirement. Your account earns 4% interest. How…

A: need to find out the monthly withdrawls that the person can do.

Q: Solve the Differential Equation using different methods  y'=x-4yx

A: We need to solve D.E.

Q: 2xD(D-3x)

A: Given: So,                2xDD-3x=2xD2-2xD(3x)=2xD2-2x(3)=2xD2-6x

Q: (b) (i) If y=-e 1 show that dy k = dx 22 e NIX

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

Q: Question Determine the second derivative of the parametrically defined curve represented by the…

A: given  x(t)=2t2-2t+4            y(t)=-8t3+8t2+4t+2dtndt=ntn-1d dt(ab)=bdadt-adbdtb2dydx=dydtdxdt

Q: Consider the following initial value problem, defined for t > 0: y² – 2y = f* (t- a. Find the…

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Q: b) I sinte de

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Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u= g(x) and the ou y…

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Q: Which of the following is a possible conclusion based only on the Alternating Series Test? ∞ n=1 n=1…

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Q: 1. Sketch a graph of a continuous function that satisfies all of the following conditions. i) f "(x)…

A: See the answer below

Q: a. a₁ = 1, a2 = 2, an=2an 1+3an 2

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

Q: (part 1 of 3) x¹, x ≤0 f(x) = ={ x-9, x>0 aluate the function for x = 2.

A: a)  for x>0  f(x)=x-9      for  x≤0, f(x)=x4

Q: Find the arc length of the curve defined by the parametric equations x(t) = t + 3 and y(t) = 9t-8…

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Q: The vector equation r (u, v) = = u cos vi + u sin vj + vk, 0 ≤ v ≤ 8π, 0 ≤ u ≤ 1, describes a…

A: Given that , ru,v=ucosvi+usinvj+vk and 0≤v≤8π , 0≤u≤1 find the surface area.

Q: The system of first order differential equations y₁ = -6y₁ + 8y2 + 1 y₂ = 8y1 - 6y2 + 1 where y₁ (0)…

A: Please see the below pictures for detailed solution.

Q: 1. Fill in the table below. (x, y) (-3,0) (4,3) (0,5) (r, 0) 5, π

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Q: A 25-year old woman burns 300 - 20t cal/hr while walking on her treadmill. Her caloric intake from…

A: intake cal=140tburns cal =300-2t∫xndx=xn+1n+1+c

Q: Solve the two (the first one using integration by partial fraction and the second using integration…

A: Question 1,Given,            ∫3x3x+2+4x4+2x2dxTo find : Solve using partial fraction.

Q: Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,…

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Q: If a 180-mile trip took 7 1/2 gallons of gas, how many miles can be driven with a full tank of 14…

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Q: X-fzero(@(X)X^2+3*X-5,(-1.7) X = 1.8541

A: Topic: algebra

Q: Simplify cos(t)csc(t) to a single trig function.

A: As we know the trigonometric identities: 1). sinx=1cscx 2). cotx=cosxsinx   To simplify the…

Q: stion Determine the concavity of the curve represented by the parametric equations x(t) = −3t² - 3t…

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

Q: 1+ sin.x cos²x -dx =

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Q: Evaluate the integral.

A: Given,            ∫042sdsTo find : Evaluate the integral.We know that,             ∫2xdx=2xln2+C;…

Q: A ball thrown in the air has a velocity of v(t) = 98 32t ft/sec at time t seconds. Find the total…

A: given velocity is  v(t)=98-32t   given  t=1 to t=8 formula used is  v(t)=ds(t)dt∫xndx=xn+1n+1+c

Q: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 135°. Enter…

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Q: company's revenue from selling xx units of an item is modeled by R=3750x−x^2. If sales are…

A: Given query is to find rate of change of revenue.

Q: man wants to set up a 529 college savings account for his granddaughter. How much would he need to…

A: Given: The future value, F = $50000 Interest rate, i = 8% Time, t = 15 years

Q: Determine if the vertex of the graph of the equation is a maximum or minumim point. y=x²+4 vertex is…

A: Given query is to find verteyis maximum or minimum.