Let f(x) = x“.4x3 Find the derivatine of P (x) and the points, (X,y), where te tingent line is herizental.

Q: Find the area of the region that lies under the graph of f over the given interval. Please only solv...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 3 Pa(x) =

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Q: If f satifies f'(x) = x + x · f(x) and f(0) = 3, determine f. Note: f'(x) = y' f(x) :

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Q: х3-2 2. lim x→o 5x*-3x3+2x

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Q: is 200,000, what is the expected population after 5 years? tion of a certain city in the southwest w...

A:   Given,Current population of the city = 200,000Rate of increase of population = 8% (in every 5 year...

Q: Find the area of the region that lies under the graph off over the given interval. Please solve usin...

A: Given : f(x) = 4 - (3 - 2x)^2 at 1 <= x <= 2

Q: 11. In y = e" sin x

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Q: dy a. Use implicit differentiation to find the derivative dx b. Find the slope of the curve at the g...

A: Given : cosy=6x3-6   To Find : a) dydxb) slope of the curve at the point (1,π2)   

Q: (9.6C) Use the half-angle formulas to find the exact value of each expression. 5. sin22.5° 97 6. tan...

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Q: The integration expression sin(3In(x) + 4)cos(3In(x)+ 4)dx must be transformed into using suitable c...

A: topic- indefinite integration

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Q: Find the surface area of the tetrahedron bounded by the coordinate planes and the plane 8x + 12y + 4...

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Q: The integration expression Jsin(3In(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable ...

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Q: Let f(r) be the function 1 Then the quotient I +7 f(7+ h) – f(7) -1 can be simplified to for: ah + b...

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Q: Television Viewership The number of viewers of a television series introduced several years ago is a...

A: Given  N(t) = (60 + 2t ) ^(2/3)  Find the rate of increase of the weekly audience at the end of week...

Q: 1 f(x) = (1 + x)5 00 f(x) = n = 0

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Q: V# + I Evaluate the following indefinite integral. Use C for any constant of integration. dx J avæ +...

A: Given:       ∫9xx+1dx Taking constant out.     =9∫1xx+1dx    substitute u=x+1→dudx=12x+1            ...

Q: Exercises: Evaluate each of the following indefinite integrals: let u= csc (tan 2y-1)cy cos 2y du=

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Q: B. On what intervals is g(x) = -17-15 243 C. What type of discontinuity is exhibited by r(x) = ?

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Q: Find the area of the area bounded by the given curves. Draw a figure showing the region and a rectan...

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Q: A typical student in an Intermediate court reporting class can reach a level of recording W(t) = 40 ...

A: W(t) =40 +37 t2t2+22W '(t) = 0 +(t2+22)37(2t) -37 t2(2t)(t2+22)2W ' (t) =22*37*2t(t2+22)2W ' (t) =16...

Q: Consider the function f which is given on its domain (0, ∞) by f(x) = 18x2 – (36x + 9) ln(æ) . • Fin...

A: Let's find. 

Q: • Solve the differential equation and apply the given conditions. d²y dy -5- 5 dx2 dx : + 6y = 0 y(0...

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Q: n' n!

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Q: For the following functions y = f (x), find f ′ (a). f (x) = 3x2 − x + 2,      a = 2

A: Given:        f(x) = 3x2-x+2    Differentiating with respect to x, we get       f'(x) = ddx3x2-x+2  ...

Q: Match the following integration expression on the left with an appropriate form of its Antiderivativ...

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Q: Figure 1 below shows the graph of a piecewise function y=f(x). y Figure 1 (i) State all the point(s)...

A: i) The points of discontinuities are x= 0 x= 2 x= 5

Q: The equation of the tangent line to the curve y at the point (2, 5. written in point-slope form is:

A: find equation of tangent line

Q: f (x) = D윽과+1

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Q: tial| Consider the following initial value problem, defined for t > 0: y – 4y = | (t - w) etw dw, У(...

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Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) = n = = 4, c = 5 x2' Pa(x) = ...

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Q: Find * of the following implicit functions. 11. In y = e' sin x

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Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...

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Q: 1+cscx 7. h(x)=- 1-cscx

A: Given the functionh(x)=1+cscx1−cscx

Q: 3. x² sin* () dx, x² sin2 () dx, n, n, a is a constant

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Q: Qy E, 4TE,a (x +y*)2 dx %3D 3/2

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Q: 1. Let the curve C be traced by the vector-valued function R(t) = (cos(zt), nt, sin(at)) a. Find the...

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Q: Find the radius of curvature of the curver= 4+3 sin 0 at 0 = 0. 3.7665 3.7566 O3.6765 3,5667

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Q: Activity 1: Remember Me Consider the situation below. Use your knowledge on probability in answering...

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Q: f(x) = In(x), n = 4, c = 3 Pa(x) = %3D

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Q: If f(x) is continuous function on la,b] than is not integrable [a,b]. on Select one: O True O False

A: Topic:- function   

Q: (5- 4x2 dx 3 + 2X 4,

A: We can find the integral as below.

Q: . A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and b...

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Q: Find the equation of the tangent line to f at x = a. f (x) = x2 + x, a = 1

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Q: For a particular commodity, the demand function is q 300 - 15р. a. Find e when p = 10. Preview b. Is...

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Q: Find the antiderivatives or integral of each of the following: let u= Jsech*2tdit du=

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Q: The integration expression sin(3ln(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable c...

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Q: A company estimates that it can sell 3,000 units each month of its product if it prices each unit at...

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Q: If f(x) = / V4+ 4r° dt, then find %3D f'(x). Select one: O A. V1 + x O B. -3x² 2/1 + x3 O C. None of...

A: We have to find derivative of f(x).

Q: 5. T'he surface of a pice of bubble wrap is given by the function f(r, y) = cos(r) sin(3). In which ...

A: Given: The surface of the bubble wrap:fx,y = cosxsiny--------------------------------To find: The ve...