• If we did not have logarithmic differentiation, what rules would we need to use to find the derivative (32²+4)*(2x–1)* of y = -? Use logarithmic sin 3x cos 2x differentiation to find this derivative instead. What are the benefits of using this process?

Q: Consider the following. y = 2x5 + 5x* – 10 (a) Find the critical values of the function. (Enter your...

A: The given function is: y=2x5+5x4-10

Q: Find the general term of the sequence, starting withn = Determine whether the sequence converges, an...

A: Given:    ( √2 - √12 ) , ( √3 - √13 ) , ( √4 - √14) .......

Q: You are designing a poster which has a border around th printed portion. The border is 2 inches wide...

A:

Q: Akash displacement from whom is is measured in MI by the function it is equals to

A: Akash displacement from whom is is measured in MI by the function it is equals to   

Q: 1 – 2xy)y' = yly + sinx] ; when x = 0, у %3D 1 + cosx 1+y²

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Q: Consider the plane area shown where r= 18 In. 20 in. 30 in. 30 in.- Problem 05.039.b - Application o...

A: Given: Length of rectangle (Lx ) = 30  Length of the rectangle in (Ly) =50  Radius of the semi circl...

Q: 1+ x)y = e¬=

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Find the profit function if cost and revenue are given by C(x)= 155+1.5x and R(x) = 7x-0.09x. The pr...

A: This is a basic calculus problem

Q: Swond of tnow ite uoy soriit eri bno bemo =) ACTIVITY # 1 Determine if each statement is a prepositi...

A: A preposition is a statement which is either true or false but not both.

Q: + cosx r- 2xy)y' = yly + sinx] ;when x = 0, y = 1 %3D %3D

A:

Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,      ∫011dx11-x

Q: If s(t)represents the position of a function, in metres, at time t, in second what does the expressi...

A: s(t) represents the position then  limh→0s(3+h)-s(3)h represents the velocity at time t=3 seconds Co...

Q: A. Ellipse B. Parabola C. Hyperbola

A: Given that: f(x, y)=9x2+4y2

Q: Find the derivative of the folowin g tetion 5(tansc) BIY= Tin1o](Sin )C cosse) Cy'= Dy= %3D Sn( cot>...

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Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

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Q: 2y" – 3y" – 3y' + 2y = (e" + e¬²)²

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Q: а. b. y g(x) g(x) 6 4.

A: Graph of the function g(x) is given, we have to find the limit at x=1

Q: Francine currently has $45,000 in her 401k account at work, and plans to contribute $3,000 each year...

A: We need to find total amount accumulated.

Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

A:

Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. f(x) = cos x, a == Po(x) =]...

A:

Q: Find: WxtWy Wxy,xx Wyy W= I+xy-z²

A: GIVEN:- W=1+xy2-z2  To find:- Wx , Wy , Wxy , Wxx , Wyy , Wyx

Q: dz Find in the function xyz + 5xy = x² + y? + z? dy 2x – yz – x2 dy A. dz - - xy – 2z В. dz 2x – yz ...

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Q: Let p (x) be a polynomial. Then limn->o∞ p(n) O Cannot be determined

A: Topic:- calculus

Q: The graph of y = \xl, shifted 9 units to the left Oy = |x - 9| O y = |x| + 9 Oy = |x + 9| Oy = Ixl y...

A: If a function is given as y=f(x), then To shift it up wards by k units we use y=f(x)+k To shift it d...

Q: sec® x dx cot x SE V

A: We can evaluate the given integral by using the substitution u= tan x and the following formulas. 1...

Q: 12) Find the exact length of the curve [4,16] on 3

A: We can find the exact length of the curve as below,  

Q: 2. SS y' e ř drdy D: x=0, y=l,y= 2

A: Given: I=∫∫Dy2e-xy2dxdy And D: x=0, y=1, y=x2 We know that; ∫eax+bdx=eax+ba+C And ∫a·fxdx=a·∫fxdx, w...

Q: The following is the graph of a function f(x). 4 3+ 2+ 1- 1, -1 -1- -5 -4 -3 -2 4 -2 -4 -5- Clear Al...

A: Graph of f^-1(x) is symmetrical about line y=x.

Q: 4.3 in. 15. Higher Order Thinking A cake has two layers. Each layer is a regular hexagonal prism. A ...

A: Formulas: Area of a hexagon = B=12Pa. Where, P=Perimeter of the hexagon. a=Length of apothem.   Volu...

Q: If f(x) = 3 sin '(x°), then (2"). f'(x) -

A: Given: fx=3sin-1x5   We know that; The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 The deri...

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

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Q: In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and ...

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Q: Determine the general solutions of the following non homogenous linear equations. 1. (D² + D)y = sin...

A: As per the instruction, we will be answering the first one. For (1),         D2+Dy=sin x The charact...

Q: 3. (2D3 - D² + 1)(In cos x - 2 tan x)

A:

Q: 1 Use the Limit Comparison Test with the comparison series E÷ to determine n=1 n? whether or not the...

A:

Q: Determine whether the statement is true or false. The geometric series a + ar + ar? + · ..+ ar" + .....

A: This question is related to sequence and series, we will solve it using given information.

Q: sin“ x cos" xdx

A:

Q: answer

A: Please refer to the image below

Q: Find the measure of the complement of a 52° angle. The measure of the complement of a 52° angle is (...

A: Given Angle is 52°We know that If sum of two angles are 90 degrees then they are called as complemen...

Q: Evaluate the following integral by using substitution ∫4x/√(x^2+1) dx   limit: 0 to √48

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Q: 3y" – 6y' + 6y = eª sec x (variation of parameters)

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Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

A:

Q: Let s(t)=4t^3+48t^2+180t be the equation of motion for a particle. Find a function for the velocity....

A: This function is related to motion of partical. Solve in step 2.

Q: If the limit of f(x) is 5 and the limit of g(x) is 2 as × approaches a constant k, what is the limit...

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Q: 24.) The radius r of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of ...

A: Area of the circle , A =πr2 ; where, 'r' is the radius.

Q: Find the derivative. y=cos(ln 4x^6)

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Q: equations. 1. (D2 + D)y = sin x %3D 2. (D2- 4D+ 4)y = e* 3. (D2 – 3D+ 2)y = 2x3 - 9x2 + 6x 4. (D2 + ...

A:

Q: Write the equation of a sine function that has the given characteristics. The graph of y = x, shifte...

A: Given a function f(x),a new function g(x)=f(x)+k,where k is a constant, is a vertical shift of the f...