The function y = tanh (2x) is not differentiable at: %3D Select one: O a. x=±1 Ob. x = 0 O c. The function is differentiable everywhere. o d. x=±

Q: dy Assume that y = sin x is a differentiable function of x. By differentiating the equation x= sin y…

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Q: Find for the following functions: i) y = la(z² + 4) + tanh- (§) ii) *cos y + sin 2y = zy ii) y = (1…

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Q: Use integration by parts to evaluate the indefinite integral. 3 arctan(5y) dy Answer = + C

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Q: x*dx , the simplified integral after substitution is: |x² – 4 Using trigonometric substitution…

A: To simplify the above integral we have to use trigonometric technique .

Q: Find the length of arc length of the curve f(x) = ln(sec x), where 0 < a < T/4. %3| Clearly state…

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Q: QS-by using the double integration, find the area that lies inside the curve ra(l+cos e) and outside…

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Q: Consider the function f(x) = (1/4) ex + e−x . Compare the definite integral of f on the interval [a,…

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Q: Differentiate  G(t)= Sinh(In t) G'(t)=?

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Q: For r = 4 cos 0 on the interval 0 < 0 < , find a definite integral that represents the arc length.

A: Length = ∫ (r²+(dr/dθ)2)1/2dθ

Q: Write a differential formula that estimates the change in the surface area S= 6x of a cube when the…

A: Given that surface area of cube s=6x2and side length change from x0 to x0+dxsolution:x=x0  and…

Q: Find dy/dx by implicit differentiation. xy = cot(xy) dy/dx %3D

A: We have to find implicit differentiation.

Q: Find the total differential, given: (b) \theta = arctan (y/x)

A: Let us consider the function z=f(x,y)  The partials derivative are obtained as…

Q: dX If the side of a cube is expanding at the rate d = 2t cm/sec, and X(0) = 3 cm. What is the volume…

A: This question can be solved using the concept of differential equation.

Q: Find the most general antiderivative. de sin 0(cot e + csc e)

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Q: dy Find for differentiate each of the following functions. dx (coth(Jx ) = cosh(3y)+e* i) i) y =…

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Q: y=sin

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Q: Find dy/dx by implicit differentiation. x = 2 In(y? – 35), (0,6) dy dx Find the slope of the graph…

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Q: Q2. Let f(x)= In(cos x) (i) Find the arc length (ds) of the function (ii) Determine the surface area…

A: Consider the given function. fx=lncosx (i) Find the arc length (ds) of the function. The formula of…

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of ở V(I + x³ )dx. Give…

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Q: For the integral ∫_1^2 √2x dx calculate L4, R4, T4, M4 and S4 with even spacing (by hand, but use a…

A: Given that, the integral is ∫122xdx. Find the exact value of ∫122xdx as follows,…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 2(1 + tan?(a)) da 2…

A: We will solve this problem in following steps

Q: 25) Find the Valne oF e dx, by Simpson's ra rule, 3. uSing 6 subintervals, correot to Four decimal…

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Q: Q2: Determine the moment of inertia of the area about the x - axis. Solve the problem in two ways,…

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Q: What is the ratio of the area under the curve with the x-axis of y = sin2x (from x = 0 to x =?/2) to…

A: area of curve

Q: 1 The volume of a right circular cone of radius a and height y is given by V = TI y. Suppose that…

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Q: y = V sinh ytan x

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Q: Find the extrema for F&)= Sin Cx) + cos (x) on the interval [o,E| %3D

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Q: 1 dx becomes: Using a trigonometric substitution, the integral x* V1-x? Select one: Jcsc* e de Sante…

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Q: Find the following antiderivatives. x +1+ tanh? (4) (a) dx 22

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Q: Can i get step by step help with problem

A: To write the relationship

Q: Show that the arc length of y = 2√x over [0, a] is equal to√a(a + 1) + ln(√a +√a + 1). Hint: Apply…

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Q: Find the following derivatives (a) g(x) = rVr2 – a² – a² cosh-1 (-) a (b) h(r) = xsinh z (c) y =…

A: (a).  The given function is: g(x)=xx2-a2-a2cos-1xa

Q: 1. | х-? dx Solution:

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Q: 1+e* dx diverges 0.

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Q: Find dy/dx for the following function: X+ tan (xy)-0

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Q: Let y = cosh(lnx?) then find y'. %3D O a. – sinh(lna?). 2 O b. - sinh(2a. Ina?) sinh(2z.Inz) O d. 1

A: Solution: The objective is to find the derivative of the given function

Q: Find the indicated trapezoid approximations to the following integral. 10 9x dx using n = 2, 4, and…

A: To find the integration by trapezoidal

Q: For the integral ∫_1^3 √2x dx calculate L4, R4, T4, M4 and S4 with even spacing (by hand, but use a…

A: The given integral is: ∫132x dx Divide the interval 1, 3 as 4 subintervals with even spacing. The…

Q: Suppose that a dimension x and the area A = 2x² of a shape are differentiable functions of t. Write…

A: We have to find the term

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Use either integration by substitution or integration by parts as needed to evaluate x2+1 -dx x³ +…

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³; (2)y=tan³ √/cot(7x); cash? -nh.…

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Q: The area of the surface obtained by revolving the curve x= Vy+4 for a-4.)

A: We have dxdy=12y+4

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: The given integral is ∫040sin(x)dx,  n=4 The midpoint rule states that let n be a positive integer…

Q: Find the inde finite integral Slox+7)dx= =xP(L

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Q: Use Simpson's rule with interval h = 1 to determine the approximate value of V(1 + x³ )dx. Give…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt | cos?(t) V6 + tan(t)…

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Q: I. Perform the following integration. 1. (sinh r) (coth²r + csch³ 2) dr sec³r tan r 2. dx √2+ secr…

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Q: Which of the following integrals represents the arc length of the portion of the curve f(x)=8x2 + 3…

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Q: is equal to A Inr+ B ln s where A = and where B =

A: Given expression :