13. y = e* Sin-1x + Sin-'x] O c. e* a. b. b. e* [ Sin-x] d. e*- + Sin 'x]

Q: Find f'(x). f(x) = e – x³ arctan(x) -(3 + 3x2 arctan(x) + arctan(x)(3x4)) x2 +1 f'(x)

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Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if t...

A: Topic = Derivative

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A: Note: According to our expert guidelines only first three subparts are to be answered, kindly repost...

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Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...

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Q: A(t) 8+ 6+ 4- 2- 10 15 20 25 30 The rate at which ants arrive at a picnic is modeled by the function...

A: Given query is to find number of ants in the given interval.

Q: Solve the given differential equation x2y" + xy' – y = In x y(x) =

A: Given: x2y''+xy'-y=ln xAsnwer: y(x)=c1 x+c2x-ln xUsing Cauchy's Euler method:Substitute  x=et; x>...

Q: ne, and tangent of the angle without using a calculator. 177 sin(e) = cos(e) = tan(e) =

A: Topic:- trigonometry ratios

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =...

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconcl...

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Q: b. Find y", given y = e¯" In x.

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Q: 3. Sketch the graph of the derivative of the function below.

A: A rough graph can be plotted as values are not given in the given graph

Q: 1. Given a > 0 real, evaluate the following limit: V2a³x – x4 – aVa²x lim a – Vax³ Xa ах

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Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to se...

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Q: dy 2y + .2 x´ - 4 (x+2)² x² – 4 dx

A: Given:dydx+2yx2-4=(x+2)2x2-4  

Q: Find the indicated nth derivative of the following: 1 7. 2nd derivative of y = xArcsinx + v1 – x² an...

A: Find derivative using product rule and composition of functions rule

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and p...

A: To find a parabola with equation.

Q: Find an equation of the tangent line to the curve at the given point y = x³ – 3x + 1, (2,3)

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Q: lim cos x f(x) f(x)

A: Answer :-  Given limit x tends to π then cosx is what.

Q: Multiple choice, questions are connected, I will rate and like. Thank you!

A: Solution: As we can see in given table.

Q: Let f (x) and 8(x) be antiderivative of h (x), The which of the following is true? (A None of the gi...

A: Note: If f(x) is anti- derivative of h(x) then  f'(x)=h(x) . Just use this definition and find that ...

Q: Find the derivatives of the following Trigonometric Functions and Inverse Trigonometric Functions:

A: y = ex sin-1xdydx = ex ddx(sin-1x) + sin-1x ddx(ex)        = ex 11-x2 + ex sin-1x 

Q: The graph of y = -2r (x - 3) is moved 2 units to the right and 1 unit up. What is the equation of th...

A: topic - transformation

Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

A: We need to identify that the given series is convergent or divergent using the integral test.

Q: y = tan-x +1

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Q: 2. A cylindrical can is to have a volume of 20 cm³. Find the radius and height of the can that will ...

A: The second derivative test : Let f(x) be the given function and she be the critical point of f. If ...

Q: Evaluate the Limit. Use L'Hopital's Rule wl 2lnx – x + 1 lim х-1 х2 + хх — 2 - x→1

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Q: Solve the following DE subject to given conditions, using Separable method. 2. y' (x+2)+4x(y +2y+1)=...

A: Separable differential equation can be written in the form dydx = f(x) g(y). ∫ax+bn dx = 1a.ax+bn+1n...

Q: 2- 6

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Q: Show complete and detailed solution of the differential equation. NO SHORTCUT!!! (ey+1)2e-ydx + (ex...

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Q: Sketch the graph of the function g for which g(0) = g(2) = g(4) = 0 g'(1) = g'(3) = 0, gʻ(0) = g'(4)...

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Q: Use integration by parts to evaluate the integral: 5t2e-6t dt = %3D

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Q: C. Without a table of values and without graphing f(x), give the values of the following limits. 21-...

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Q: -2x (1-3€ dx e

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Q: Consider the following. y = x2 - 4x + 2

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Q: The equation of motion of a particle is s = t3 - 27t, where s is in meters and t is in seconds. (Ass...

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Q: The radius of a spherical balloon is increasing at the rate of 0.6 cm/minute. How fast is the volume...

A: Given:- The radius of a spherical balloon is increasing at the rate of 0.6 cm /minute. To find:- How...

Q: The edge of a cube was found to be 50 cm with a possible error of 0.5 cm. I need to calculate the ma...

A: Follow the procedure given below.

Q: A skyscraper has 40 storeys. A cleaning company is charging RM80 for their services on the first flo...

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Q: 1 (x+ 2) (3x² + 12x + 1) dx + 1) dz (А) (B) 4 (c) 7 (D) 252

A: Topic = Integration

Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with r...

A: Put x=r cosθ  and y=r sin(θ). As x,y→0,0 then r→0+. L'Hospital Rule :Suppose we have          limx→...

Q: Determine which of the following are ordinary differential equations and which are partial different...

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Q: If sinh(x) = 35 =, find the values of the other hyperbolic functions at x. %3D cosh(x) tanh(x) csch(...

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Q: For each given combination of values of lim f(x) and f(c), sketch the graph of a possible function t...

A: 1. limx→1f(x)=-1 and f(1) DNE2. limx→0f(x)=1 and f(0)=-3

Q: SOve the inequality x²34-10 LO X-4 using the test-point method. Express your answer in interlai nota...

A: x2-3x-10x-4<0⇒x+2x-5x-4<0⇒x<-2  or   4<x<5⇒Solution:  x<-2  or   4<x<5  Inte...

Q: Find dy/dx in terms of x and y if x²y – x – 4y – 9 = 0. dy dx

A: Here we will use the product rule for derivative d(uv)=u.d(v)+d(u).v

Q: 10111111110 110101

A: Solution is 10011110110010110

Q: The slope of the tangent line to the parabola y 3x2 + 2x + 6 at the point (5, 91) is: The equation o...

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Q: A type of sugar in the blood, also known as glucose, which is one of the major sources of energy, is...

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Q: In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directio...

A: