Evaluate the integral. 8 r log 4(x + 8) x +8 xp-

Q: Let f(x) = e. It can be shown by direct computation that f() (x) S 76e on the interval [0, 1). Using...

A: According to question,Given function.fx = ex2

Q: 4 cos ' (sin (ax t)

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Q: 6. a. Show that the vector à = (1, 12, –29) can be written as a linear combination of b = (3, 1, 4) ...

A: Here we have to show that the vector a=(1,12,-29) can be written as a linear combination of b=(3,1,4...

Q: Use row operations to change the matrix to reduced form. 1 1 1 17 2 34 21

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Q: cos t dt 1 + sin t 37.

A: The given integral,37. ∫cos t1+sin tdt

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Q: sinxtanx/cosx+1

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Q: Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial va...

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Q: The function h (t) = -25 cos(4nt) + 29 represents the height above the ground of a chair on a Ferris...

A: Given, h(t) = -25 cos(4πt) +29where ,25 = amplitude of cosine functiona) time to complete on revolut...

Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the cur...

A: Using equation of tangent formula.

Q: 1+cos 2x dx sin 2z O cot 2x - csc 2x + c O cot 2z +In |sin 2z|+ c O none of these O In (csc 2x + cot...

A:

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x+1 x3 a. Find lim f(x) or state...

A: From graphlimx→1-f(x) =0limx→1+f(x) =0Thus limx→1f(x) =0

Q: A wheel turns 1,500 revolutions per minute. How fast does it turn in radians per second? 300 rad/sec...

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Q: 1. A projectile is fired with an initial speed of 400 m/sec. Find two angles of elevation that can b...

A: Given that: Initial speed, u=400 m/secDistance of target, H=3000 m.

Q: 225 ft ロ000。 0000 100-

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Q: Differentiate the following functions. Use any applicable method unless otherwise specified. 4. a. ...

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Q: Solve each triangle. Round your answers to the nearest tenth.

A: We will solve the given triangle by using sine rule as shown below

Q: Jax dix x²

A: To evaluate the given integral.∫ln xx2 dx  

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: -2...

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Q: 1 tX

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute  take deriva...

Q: Given the function P(n)=(n−7)(n+6)(n−3): the coordinates of its P-intercept are  the coordinates o...

A: To find out the coordinates of P- intercepts and n-intercepts.  

Q: Using the definition of the derivative, find f'(x). Then find f'(-4), f'(0), and f'(4) whenm f(x) = ...

A: We can find the derivative as below.

Q: The displacement (in me line is given by the equa measured in seconds. Fi t = a, t = 1, t = 2, and

A: given s = 1t2velocity of the particle is given by v(t) = dsdt

Q: Use the product rule to find the derivative of (102° – 72*) (6e" – 7) Use e^x for e". You do not nee...

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Q: x2 dx 25 - x2

A: Here we use the trigonometric subsitution method to solve the given Integral.

Q: 2x2-3x Find lim х-4 4x3-8х+13-

A:

Q: What is the period of y = 4 sin 3x? 3 pi 2 pi /3 pi/3

A: Given: - The equation is, y=4sin(3x) To find: - The period of the given equation.

Q: #9 all

A: 1)Find the tangent of the curve y= 3+4x2-2x3 at x=a. 2) find the equation of tangent line at point (...

Q: #37

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Q: dz az C. Find ax and 4. 5x*y?z-y cos xz = 2x°+y

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Q: Find the derivative of arctan(x² + 1) -2x O f' (x) = -2a2 – a4 2x f' (æ) = x² +2 2x f' (x) x4+2x²+2 ...

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Q: 1 5. x/4x2 - 1

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Q: Find // y dV, where E is the solid bounded by the parabolic cylinder z = x? and E the planes y 0 and...

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Q: 1. S" cos? (2t) dt u-sub = 2. S sin5 0 cos* 0 d0 power on sin is 'odd'

A:

Q: Prove that the tangent lines to the curves 5y – 2x +y³ – x²y = 0 and 2y + 5x +x* – x³y2 = 0 intersec...

A: Given: - The statement is, The tangent lines to the curves 5y-2x+y3-x2y=0and 2y+5x+x4-x3y2=0 interse...

Q: (c) At what time do they have the same velocity? 13. If a ball is thrown into the air with a velocit...

A: Given query is to find the velocity of the ball. We will use derivative to find the velocity.

Q: x²-x-12 b. f(x) = %3D x²-2x-8 Write f(x) as factored form: Vertical Asymptote(s), if any: Horizontal...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: 2. 4x +2x lim X00 4x -x+1

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Q: Previous 1 as follows: Let f(x) 1 and find the equation of Use linear approximation, i.e. the tangen...

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Q: ev dx 1 Vx

A: We have to find the given integral.

Q: f(-2)= f(1)=

A: Given:  

Q: Solve the initial value problem. dy y = 7x e*, y(1) = 7 e - 7 %3D - dx The solution is y(x) =

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Solve the differential equation: y dt + t (t + y) dy = 0

A: Given that: y2dt+t(t+y)dy=0

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 5-...

A: Find your answer below 

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x=4 and roots of multiplicity 1 at...

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Q: Evaluate: a sec a tanxx dx from a = 0 and b = O 12- 1/ 0용 + 1 O none of these O v2+ 1

A: Given query is to eveluate the integral.

Q: The total costs for a company are given by C(x) = 5400 + 20x + x2 and the total revenues are given ...

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Q: 11) Find the slope of the tangent lines on the curve y = 6x³ + 24x² – 39x – 43 at points .- ) 478 (-...

A: As you have asked multiple questions so I have answered first question as per the guidelines.

Q: Solve the equation for x: log42 x + log42(x – 1) = 1. If a solution doesnt work, enter DNE . Make su...

A: Solving the problem by finding the value of x.

Q: A forester wants to measure a tree's height. Assuming that the tree is at a right angle to the plane...

A: