Question 1: Find the limits of the functions below a) lim,-3 2x3 sin x b) lim,

Q: 14. Solve the problems by carrying out the Conjugate Gradient Method by hand. JI 1 -1 4 1 u -3 (а) -...

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Q: 8(x – 1) (2x + 1)4 -2x + 1 f (x) = and f"'(x) = (2x + 1)2· J"(x) (2x + 1)3’ (a) Find the domain of f...

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Q: Define

A: We will define continuity at a point as well as in a interval. 

Q: 3.9.4

A: Equation A and B represent the horizontal distances respectively. 

Q: For each of the following, sketch the volume being formed, then calculate the total volume and the t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: 2r3 + 4x² + 7x – 6 dx xª – 3x² – 4

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Q: Calculate the partial derivatives and using implicit differentiation of (TU – V)² In (W – UV) = In (...

A: Given problem:-

Q: A Screen Shot 2022-03-09 at 8.18.27 PM - 口v 西 Q Search A cubic function has a constant difference of...

A: We have to find the leading coefficient of the function.

Q: 2tan4xdx 2 - tan~4x

A: Given problem:-

Q: 2(14 – 2)² dx = (14 – x)² dx %3D

A:     ∫ x1314-x2dx=∫ 196x13-28x43+x73dx=∫ 196x13dx-∫ 28x43dx+∫ x73dx=147x43-12x73+310x103Add a constan...

Q: 20. The cost of a certain piece of machinery is $700 and its value is depreciating with time accordi...

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Q: Find the value of x that satisfies the following equation (2x – 5yi) + (y + xi) = 8-7i В. 4 А. 2 С. ...

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Q: Discrete math: Determine the smallest positive solution of each system of congruence equations: a)...

A: By our policy we are allowed to solve one question at a time. Kindly repost the other problem in oth...

Q: b) Use the Comparison Theorem with f(x) = - to show whether , g(x)dx is convergent or divergent.

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Q: Evaluate | x? zdS, where S is the part of the plane z = 2 + 4x + y above the rectangle [0, 4] × [0, ...

A: To evaluate: ∫∫Sx2z dS where S is the part of the plane z=2+4x+yabove the rectangle region [0,4]×[0,...

Q: 2. The price-demand equation for a certain product is 0.2x + 20p = 120. a) For what range of p-value...

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Q: don’t do a, b or c

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Q: se cond derivaihve frs 24 (X+3) ³ funcfioN fo= X_2x-3 メ+3 use secend derivactive to idenhify interva...

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Q: 2. In r dr

A: Determine whether the improper integral is convergent or divergent.  The integral is ∫01 lnx dx Form...

Q: Find the radius of convergence and the interval of convergence. 00 5k k=0 Choose one Radius of conve...

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of...

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Q: 5 What is a. lim,-3 f(x) b. lim,-2 f(x) c. lim,0 f(x) d. lim,2+ f(x) e. lim,2 f(x)

A: To find the given limit values for the function using the give graph.

Q: k(x) = 1- |r – 3|

A: For (b), Given: The domain of a function is the set of input or argument values for which the funct...

Q: 1 Evaluate e" cos 2z z dz COS 4 32/65 e^(2z) cos(z/4) - 4/65 e(^2z) sin(z/4) + c O 32/65 er(2z) sin(...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: ider the given function and the given interval. f(x) = (x – 7)2, [6, 9] %3D (a) Find the average val...

A: We have to find the average value

Q: Let f(x) (3 sin a + 2 cos x)tanx f' (x) =

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Q: Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph...

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

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Q: 2. -2 2. -2 ere does f have absoluteminuMums absolute minimum is ph h o ccurs at x= edees f have abs...

A: To find the absolute maxima and minima of the function from the graph.

Q: Simplify the difference quotient by rationalizing the numerator. Vx +h – 3 - Vx - : Read more about ...

A: We have to find rationalisation

Q: are no such val are a whole interval of values that fulfill the requirement, use interval notation t...

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Q: End the solution and dyined the interpal at which function is depince dx

A: Given that xdydx+y=1y2Solution :xdydx+y=1y2xdydx=1y2-yxdydx=1-y3y2y21-y3dy=dxx∫y21-y3dy=∫dxxlet, 1-y...

Q: V1+x? 3. S dx

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Q: Question 2: Evaluate the following limits 5 a) limx-0- 3 5 b) limz-o* x3 5 c) limx-0 x3

A: Find the given limit

Q: If the rate of change in life expectancy I at birth for persons born in the United States can be mod...

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Q: Convert 7" = 1714 to logarithmic form and use the change of base formula to solve for n. Round answe...

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Q: product

A: We will demonstrate the above. 

Q: EF = (6x – 4y, z – 4x, y – 8z), then V × F = 0.

A: Topic:- application of derivatives

Q: (a) State if the following are True or False. You need not show any working. (i) f(t) = (t³)(t°) is ...

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Q: 1 dx x /1 – (In x)² 1

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) 1 n = 4, c = 5 %3D P4(x) = %3D

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Q: s2-2s+4 4. F(s) = s4 –1

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Q: Consider the following function. x2 xp (a) Determine an appropriate trigonometric substitution. O Us...

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Q: sec-(2y cos r) = x"

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Q: elan tan n -1n n=1 n2 + 1

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Q: 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to the line y = 3x + 1 (Hi...

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Q: Maximize Z: 4X1- X2+ 2X3 Subject to: X1 + X2 2X1 + X2 55 57 2X2+X3 2 6 X1 +X3 = 4 Х, X2, XЗ 20

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Q: d²u dv² 4(1+ 3v)? u = -1 du/dv = -2 when v = -1 %3D

A: solution:-d2udv2=4(1+3v)2 integrate both sides with respect to u∫ddvdudvdv=∫4(1+3v)2 dvdudv=4∫1+6v+9...

Q: 2. Find the domain of the following functions: 3 a). h(2) = %3D 4-2 b). f(x) = VE– 4 c). g(u) = 4.

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Q: funchoN f= 2X3-3X²36X+54 find second denvaitive t"x)= use second derivarhive to identify .intervals ...

A: Consider a function f((x). If f"<0  on an interval then f is concave down on that interval. If f...