imum. Select the correct choice below and, if necessary e your choice.

Q: Fg(x) = 1 Vx-1

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Q: Evaluate the fo llowing limits lim x8 + 7x + 9x-4x² +2 Xヨ-0 x4 - 4 y5 - 3x*-6x +4 2x2-8x +7 suppose ...

A: 1) To evaluate:  limx→-∞x8+7x6+9x5-4x2+2x4-4x5-3x2-6x+4 Dividing numerator and denominator by x4, we...

Q: 1 1. lim In (x- 2) x-3 X-3+

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Q: : Give the following formulas ① Volume and surface area of a sphere (diameter = a)

A: We know volume and surface area of a sphere

Q: 9. An object moves with velocity given by v(t) = 2t3 such that s = 8 when t = 0. Find the equation o...

A: Given: vt=2t3 ; s0=8   We know that, The expression for the velocity; v=dstdt And The Power rule: ∫x...

Q: Find two unit vectors in 2-space that make an angle of 45° with 5i+ 4j. NOTE: Enter the exact answer...

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Q: Consider the points A(3, -3, 5), B(5, –5, 2), C(-1, –4, 2), and О(4, 1, -8). a) Find the volume of t...

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Q: Find the most general antiderivative or indefinite integral. 8/x dx

A: We have to find the indefinite integral.

Q: A system is described by the DE n.p + r + 5 u = 10. d t? dt (a) For what values of the positive cons...

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Q: Find the derivative of g(x) =

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Q: 11. Evaluate the lim a. +00 b. -00 C. d. Indeterminate

A: Given:        limx→0-1x4       =limx→0-1x4

Q: Given a funchion x-2x if x<く2 2-x if x22 Determine if f s cantinuaus at X:72, f yes, find f(X) and f...

A: To solve this problem we will apply the concept of continuity and differentiability of a function at...

Q: Evaluate the following integral. | e2* cos3x dx

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Q: Given the function (x³ – 2x 2 if x < 2 f(x) = v2 - x if x 2 2 Determine if f is continuous at x1=2. ...

A: Continuity 

Q: 2 NOT: L..

A: We have to find the value of x such that f(x)bis continuous but not differentiable

Q: DO NOT include spaces in between characters. * 1 Find an equation of the tangent line to the graph o...

A: g(x)=2-12x2diff w.r.t xg'(x)=0-12(2x)g'(x)=-xslope =g'(x)slope at (2,0) is g'(2)=-2Slope of tangent(...

Q: Find F'(x) if F(x) = cot¯ 12

A: We can find the derivative as below

Q: Find the area of the parallelogram that has u = i – 2j + k and = 3j + 2k as adjacent sides. NOTE: En...

A: Area of parallelogram with adjacent sides u→ and v→ is defined as u→×v→

Q: Find the exact value of the trigonometric expression given that sin(u) = -, where 37/2 < u < 2x, and...

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Q: DO NOT include spaces in between characters. * 7 Given y = (3x° +6) 2x- Find the value y' at x = -. ...

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Q: Prove that lim (4x2 – 25) = -9 x-2

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Q: 5. Which of the has a domain of (-0, +o)? a. f(x) =x b. f(x) = x? c. fx) =x d. f(x) =x* 6. Given the...

A: Use the basic property of function and composition of function. 

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the ezact answe...

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Q: At which value/s of x does the graph of y = x - 6x² +9x- 2 have a horizontal tangent line? Write the...

A: Given: y=x3-6x2+9x-2 We know that a function has a horizontal tangent at the point where derivative ...

Q: 3. For what value of x will the slope of the tangent to f(x) = 3**e* +5x +17 be equal to 5?

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Q: Find the number of units x that produces a maximum revenue R. R = 204x2 − 0.08x3

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Q: O g(x)= ( % x + %) X so at the point X, =O. x >0 9メ- x

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Q: S 6w+12w -6

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Q: 4 + 2y - 16) dy =

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Q: Select ALL possible answers if there is more than one. * Below shows the graphs of the slopes of the...

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Q: Find the length of the tangent to a circle from point of tangency to point (8,2) . The circle is def...

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Q: P23.2. The population of Canada, as determined by the Canadian census, was as follows: year 2001 200...

A: t=year 2001 , X starts from 0.   X Y XY X2 Y2   0 30 0 0 900   5 31.6 158 25 998.56   10 33...

Q: Find the exact value of the trigonometric expression given that sin(u) = - where 3x/2 <u< 2x, and co...

A: tan(u+v) = (tanu +tanv)/(1- tanu*tanv) tanu = sinu/cosu cosu = 1-sin2u cosu = 1-(3/5)2 cosu = 4/5 si...

Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to f...

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2 ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: CSC r+ sec x Express in terms of sine and cosine. cot x + tanr

A: We know that  cscx=1sinx  , secx=1cosx  , cotx=cosxsinx  and tanx=sinxcosxSubsituting in cscx+secxco...

Q: A Given yesin (ITX2)= InGe) XyZ of Find Zx and Zy.

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Q: Consider the region R bounded by the curve y = In(r), the r- axis and the line r 5. Determine the fo...

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Q: If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person'...

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Q: Q3 : Evaluate the following integral. X4V9-x2

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Q: SVEsin(1+ VF )dz 4 Vz sin .3

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Q: FIND THE AREA OF REFION BOUNDED 3 J=メリ=8,*o Xs. end

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Q: 1 dx (25 – x2)3/2 - Show My Work (Required) ?

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Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to f...

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: Let f(x) = /3r – 10. According to the definition, f'(r) = lim h0 (Enter the limit in reduced form)

A: f(x)=3x-10f'(x)=limh→0f(x+h)-f(x)h

Q: Find the vector component of v = 2i – j+ 3k along b = i + 2j + 2k and the vector component of v orth...

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Q: (6) Shipping fees (or shipping charges) are often based on a formula that offers a lower charge per ...

A: Find limit . 

Q: ctivity 3: For each problem, use implicit differentiation to find in terms of x and y. d²y dx² a) 4y...

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Q: Evaluate the definite integral. 1 xp 9 + (x + 5)2

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