Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by step

Q: Find a) any critical values and b) any relative extrema. g(x) = x - 27x+ 56 a) Select the correct ch...

A: for (a) - critical values is +3 and -3  for (b) - the relative maximum point is x = -3 and relative ...

Q: hogs 15 X=4

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Q: Sketch the level curves of the function f(x, y) = y + x? for c = 3. 7- 5- 4- -6 -5 -4 -3 3 4 5 6 -2 ...

A: Solution ) f(x,y) = y + x2  f(x , y ) = c  y + x2  = c  y + x2 = 3  y = -x2 + 3 To find the vertex  ...

Q: The distance traveled by a rocket (in feet) after launch is given by the function f (t) = -16t? + 1,...

A: Given query is to find the velocity after 15 second.

Q: trakuak the triple Integral

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Q: Solve the initial value problem. d?y = 6-30x, y'(0) = 8, and y(0) = 4 dx? %3D y(x) = |

A: According to question,Given differential equation,d2ydx2 = 6-30x,y'0 = 8y0 =4

Q: Find the magnitude of v. V = 4i ||v||3=

A: Let, v→=xi^ then, V→=x2 =x.This is the formula of magnitude of v→

Q: The numerical value of | In (x) dr is equal to .......

A: Solve the following

Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

A: 6. Yes because exponential function is always differentiable.  7. Yes because it is everywhere diffe...

Q: 6 Convert your original pair of complex numbers to polar form. D =1-j2 A =2+ j3

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Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

A: Given query is to find the inflection point and interval where concave up and down.  

Q: Determine whether the lines are parallel or identical. x – 8 – y + 9 z + 4 %3D 4 -5 3 x + 4 – Y - 6 ...

A: Given query is to find the lines are parallel or identical.

Q: X - 2 Consider the function f(x) x – 4° Use the graphing utitlity to graph f.

A: 1. The given function f(x)=x-2x-42. f'(x)=x4-16x3+81x2-146x+80

Q: rert your original pair of complox pu

A: We have to convert in polar form of the given complex number

Q: Given the following information about the hyperbola, find both its standard and general form FOCI: (...

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Q: Find the area of the triangle with vertices P(1,3, – 5), Q(0,0,0) and R(3,4, 1). NOTE: Enter the exa...

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Q: Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no ...

A: This question can be solved by converting the system of equation in matrix form.

Q: Find the sum of the series Σ /n+4 n = 1

A: First operate the given sum on both terms and then calculate the sum.

Q: Use a double integral to find the volume of the indicated solid. 6아 z z = 49 – xy 50 40 30 20 10 2 3...

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Q: A. Determine whether the graphs of the follow yes if it is. Otherwise, write no. Explain your 1. Lin...

A: 1) Linear function:- Yes; a linear function (f(x)=ax+b, where a,b are real and a≠0) is a polynomial ...

Q: ind two vectors in opposite directions that are orthogonal to the vector u. (The answers are not uni...

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Q: An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it o...

A:

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and d...

A: topic - function and application of derivatives

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Answer is infinity 

Q: Given u = , v = -5i - j, and w (AB) is defined by the points (1, 6) and (-2, 8). a Find v in compone...

A: This is  a problem of vector. By dissolving vector in x and y parts we will convert it into componen...

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: topic - sequence and series

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: The lengths of u and v and the angles that u and v make with the positive x-axis are given as  : || ...

Q: Evaluate the lino integral y+ + (4+2-x>y +2が Where C consitts of line segments from 0,-,2) to (2,-1,...

A:

Q: Find the direction cosines and angles of u and show that cos2 four decimal places.) a + cos? B + cos...

A: Use direction cosine definition. 

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. NOTE: ...

A: Given u=2i-j+2k v=2j+3k We know that area of parallelogram with adjacent side are u and v is |uxv| T...

Q: Determine any planes that are parallel or identical. (Select all that app O P,: -90x + 60y + 30z = 2...

A: Find your answer below 

Q: Find the volume between the cone x = sqrt(y^2 + z^2) and the sphere x^2 + y^2 + z^2 = 4

A: The cartesian to spherical conversion is given by: x=r cos ϕy=rsin ϕ cos θz=r sin ϕ sin θ Now, in th...

Q: Direction of opening: Zeros: y-intercept: Vertex: Axis of Symmetry: Max or Min Value:

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Q: 2 S- 2 V4+x

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Q: 2 V1-x*

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it occ...

A: Given problem:- Find any relative extrema of the function. List each extremum along with the x value...

Q: O f"(x) 0 for all x f"(x) > 0 for x > 0

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: Sketch the region enclosed by the curves and find its area. 1 y : V1 – x²' y = 2 NOTE: Enter the exa...

A: Intersection points:y=22=11-x21-x2=14x2=34x=±32(±32, 2)

Q: Use the definitions of the hyperbolic functions to find each of the following limits. (If the limit ...

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Q: In the given first-order differential equation below, y'cot(x) + y= sec(x); (i) Identify the type (i...

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Q: Find u v, u· u, ||v||2, (u · v)v, and u · (3v). = (2, 11), v = (-5, 2) %D (a) A. n (b) u u (c) ||v||...

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Q: 24 Σ 28. 3"-1

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Q: 3. Find the inverse of f (x) and check your answer. 3x - 5 State the domain and the range of f and f

A: The given function is: f(x)=23x-5

Q: Determine the location of any removable discontinuities, vertical asymptotes, and horizontal asympto...

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –...

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Q: Suppose the Maclaurin series f(x) is f(x) = >) 2 n=0 Find the Maclaurin series for the following.

A: To solve the following problem

Q: A hemispherical tank with a radius of 8 m is filled from an inflow pipe at a rate of 3 m/ min (see f...

A:

Q: 4. The measurement of the side of a square floor tile is 10 inches, with a possible error of 1/32 in...

A: topic - differentials

Q: For the geometric sequence, 15 45 135 5, 2' 4 ' 8 What is the common ratio? What is the fifth term? ...

A: The geometric sequence,5, 152, 454, 1358,........