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

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Q: Find all values x= a where the function is discontinuous, For each value of x. give the limit of the...

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Q: mín z = 2x1+ 3x2 2x1 +X2 2 2 -X1 - X2 > -4 -X1+ 2x2 > 1 X1, X2 >0 sa (P)

A: Note :- As you write just define the auxiliary problem for given LPP Problem. So i am define only th...

Q: 2. Explain the process of evaluating the derivative of f(x) = (x³ – 1)100

A: We need to apply chain rule to find the derivative of given function. Formula to be used÷ 1) ddxfxn=...

Q: You are given the graph of a function f. Determine the Intervals where f is Increasing, constant, or...

A: Given graph of a function f

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for ...

A: Integration

Q: Let an be the n th digit after the decimal point in 57 + 8e. Evaluate an(.1)". n=1

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Q: 13. J(L, Y) y", 1(-1, 1) = 8 – 2x2 – y². For the following level curves f(x, y) = C and 50-51. Level...

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Q: B. Find the area bounded by y = x2 – 2x - 3 and y = x + 1.

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Q: Find the average rate of change of the function over the given intervals. f(x) = 9x° +9; a) [1,3], b...

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Q: 4. lim f(x) = +o0, x-3- lim f(x) = -o 0- x-3+

A: here we have to draw the graph which satisfies the given conditions.

Q: The angular velocity of a point on a circle with radius of 12 feet is 15 T radians per second. Find ...

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Q: 38. g(t) = -2 cos t + 5 (л, 7) %3D 39. f(t) = že' (0. ) 40. g(x) = –4e* (1, – 4e) %3D Finding a Deri...

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Q: Evaluate the limit using L'Hôpital's Rule. (27x)2/3 +4x lim x→∞ (27x)5/3 – 27x - (Use symbolic notat...

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Q: 4. The figure below shows the graph of a rational function f. Assume that the graph has no holes. Fi...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the y-intercept is and x-i...

Q: Computational: (1) Given the function y = x3 +3x + 1, answer the following items. a) Find the slope ...

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Q: Based on a study of population projections for 2000 to 2050, the projected population of a group of ...

A: Expression for average rate of change of any function f(x) where, a ≤ x ≤ b. is:   = f(b) - f(a)b-a

Q: The o he phno Pnt Pal3るる。や pant

A: We have to find

Q: Find the unit tangent vector T, and the unit normal vector N for r(t) = at t = 1. Simplify your ans...

A: We need to find the  unit tangent vector T, and the unit normal vector N for t=1.Below find the solu...

Q: A. Evaluate each of the following definite integrals. 2 S (8x3 + 3x2) dx 1.

A: Given that:

Q: 7. Let f(x, y) = In(x)+2 ln(y) – x – 4y. Find the critical point of f and determine if it is a local...

A: Let's find. 

Q: Given the geometric sequence: 25, 6.25, 1.5625, . .. Find an explicit formula for an- 25 n-1 an Find...

A: We know for a geometric sequence with first term a0 and common ratio r, the nth term an is given by,...

Q: 4² – y² +25:² = 100 %3D

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Q: If VI + = 11 and y(9) = 64, find y' (9) by implicit differentiation.

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Q: A. Evaluate the following integrals. S(x² – 2)² dx 1.

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Q: sec 2 2 O tan´y dx = secx dy

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

Q: 27. lim (x + cos

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Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: Consider a closed rectangular box with a square base with side and height y. a. Find an equation for...

A: A closed rectangular box with a square base with side x and height y.

Q: Use the matrices below to perform matrix multiplication. 5 10 4 C -10 0 12. 3 6 B -2 7 6. 8 If the o...

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Q: Given the graphs of f(x) and g(x) below, determine the value of the expressions below. y = f(x) y = ...

A: Given that:                      

Q: -3x2+15x 9. Graph the rational function f (x): by answering each question below. x2-7x+10 Factor the...

A: As per our guidelines, I can answer maximum three subparts of a question, since you have asked for m...

Q: limits justifying 1.E valvate the (l answers with CalcUlativns or expianution- part Ai lim x²-X-6 wi...

A: Topic = Limits

Q: d b) [ 4e*(In x) ] dx

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Q: Evample 2; Determine the aren nder the Curve y= x-3x from X:1 t. X= 4

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Q: d b) [ 4e*(ln x) ] dx

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Q: Learning Task 7: Sketch one possible graph of a function f(x) defined on R that satisfies all the li...

A: Given conditions: limx→-4fx=DNElimx→-2fx=0limx→-1fx=0limx→0fx=2limx→1fx=DNElimx→2fx=-3limx→4fx=5limx...

Q: Compute the surface area of revolution of y=sinxy=sin⁡x about the x-axis over the interval [0,7π]

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Q: The second and seventh terms of a geometric sequence are 15 and 46875 respectively. Which term of th...

A: Topic =Series

Q: > [2] S 1+e* dx 1-ex

A: The solution is given in the next step.

Q: Given the graphs of f(x) and g(x), determine the value of expressions below. y f(x) y = g(x) lim (f(...

A: From the given graph, we can find the following limits: limx→2f(x)=0  limx→2g(x)=0 limx→1g(x)=1 limx...

Q: 5. Choose ONE of the phrases on the right that best describes the followings: Triangle law of vector...

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: Find the unit tangent vector, T (t) =??? r (t) 1) = (cos (t), 2cos (t), v3sin (t) V5 sin (t))

A: Here we will find the unit tangent vector T(t),

Q: "A Kite 65 feet above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle ...

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Q: g(m) = (5m + 8)® cos(7m) – em² -3n C. CoS

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Q: Choose the correct graph of y = cos x, -T< x< T: 37 2

A: Given the query is find the graph of the cos function.

Q: (2x³–1)* y = is (5-3x)*

A: NOTE: As per our guidelines, I have solved the eighth problem. If you want the answer of other, kind...

Q: dy and d²y if x = t and y = 3. Find dx dx? 1+t 1+t

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Q: 4. Use the product rule twice to prove that if f, g, h are differentiable, then (fgh)' = f'gh + fg'h...

A: According to question,we have to prove that,ddxfx3 = 3 fx2f'x