(xe* dx

Q: dy Find the derivative dx 4. for the function y x24x by using logarithmic differentiation.

A: taking logrithmic both sides and differentiate both sides with respect to x and solve the question.

Q: 1. Find the maximum area of a rectangle inscribed in a semicircle  of radius 5 inches if its base li...

A:

Q: 70. Use a graphing utility to graph the equations on the same viewing window for 0 < 0< 277. a. r = ...

A: Disclaimer: Since you have posted a question with multiple sub-parts; we have solved first three sub...

Q: Given the standard for of the equation of hyperbola, find the following, then sketch the graph: 1. (...

A: We have to find the all the given parts for given hyperbola equation

Q: Use the Direct comparision Test to determine whether the infinite series is convergent.

A:

Q: 69-72. Exponential function In Section 9.3, we show that the power series for the exponential functi...

A: We’ll answer the first question (that is 69) since the exact one wasn’t specified. Please submit a n...

Q: Graph the functions in the ts-plane (t-axis horizontal, s-axis vertical). What is the period of each...

A: We have the given function in the ts-plane (t-axis horizontal, s-axis vertical) as s=cosect2        ...

Q: Limit of a solution Evaluate lim y(t), where y is the solution of the initial value problem y' (t) s...

A: Here given as y't=sec yt2⇒dydt=sec yt2⇒dysec y=dtt2 ⇒cos y dy=dtt2 .......1  

Q: Using the definition, find the derivative of f(z) = 3 z4-6 z at point z= 0

A: The derivative of the function f(x) is given by f'x=limh→0fx+h-fxh. The given function is fz=3z4-6z2...

Q: the definition, find th tive of f(z) = 3 z4-6 z²

A:

Q: Suppose p(t) = - 0.32t + 1081 + 7782t + 60,000 is the population of a city t years after 1994. a. De...

A: To find the average growth rate

Q: Find the derivatives of the functions in Exercis

A: Given:y=5-2x-3+182x+14 Solution: Power rule of differentiation states that: ddxxn=nxn-1 Chain rule o...

Q: If u, v, and w are three vectors in ℝ3, which of the following products make sense and which do not?...

A:  know that if u, v and w are three vectors then u.v is scaler quantity and u×v is a vector quantity ...

Q: In the given equation find an equation of the line that is tangent to the graph of f and parallel to...

A: Given: fx=1xx+2y-6=0

Q: Q2: Evaluate J. f ds where C is the given oriented curve r(t) = (-2 + 6t ,5 + 8t) for (0 < t < 1) an...

A:

Q: In Problem,determine whether the equation defines y as a function of x. 2x2+3y2=1

A: Given equation is 2x2+3y2=1. To determine whether the equation defines y as a function of x. Solutio...

Q: Given the standard for of the equation of hyperbola, find the following, then sketch the graph: A. o...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Explain how to use directrix. ey = &x to find the parabola's focus and

A: Given equation of parabola is y2=8x. To find focus and directrix of parabola. Solution: Equation of ...

Q: When a plane flies with the wind, it can travel 2160 miles in 3 hours. When the plane flies in the o...

A: Let the average velocity of the wind = w miles per hour. Let the average velocity of the plane in st...

Q: Find the general solution for differential equation.

A: Given differential equation is dydx+2xy=16x. Separate the variable. dydx+2xy=16xdydx=16x-2xydydx=2x8...

Q: Even and Odd Functions and Zeros ofFunctions In Exercises 75–78, determinewhether the function is ev...

A: Given :           f(x) = 2x6   To determine whether the given function is even, odd, or neither. Als...

Q: Use the product rule to find the derivative of the following.

A: Calculate the derivative of the given expression using product rule d(u·v)dx=v·d(u)dx+u·d(v)dx   d((...

Q: Calculate by using integration by substitution, 6 . • X dx x4 + 2 What was your substitution? u = Wh...

A:

Q: "Determine whether the following linear functions are increasing, decreasing, or constant. h(z)=7

A: Given: h(z)=7

Q: (a) Find the differential dy. y = tan x dy = %3D (b) Evaluate dy for the given values of a and dæ. I...

A:

Q: For Exercises 93–102, write the domain of the function in interval notation. VI - P 93. f(x) = V9 - ...

A: "Since you have posted a question with multiple subparts we will solve the first three subparts for ...

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 6x...

A: To find: The area of the surface generated if the curve y=6x-2,  1≤x≤2 about y- axis. Concept used: ...

Q: 25. Goals against average. A hockey goalie's goals against average A is a function of the number of ...

A: Given: A(g,m)=60gm

Q: Solve the question below

A:

Q: In Exercises 7-12, find the radian measure of the central angle of a circle of radius r that interce...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Given the standard for of the equation of hyperbola, find the following, then sketch the graph: 1. (...

A:

Q: 3 53. Find dx. 54. Find dx. x - 5

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Graph the line with slope 2/3containing the point (1, 2)

A: Slope m=23Point     =(1, 2)

Q: 52-53. Integrals involving ſInx dx Use a substitution to reduce the following integrals to JIn u du....

A: 52). To evaluate the integral: ∫cosx lnsinx dx Solution: Let substitute t=sinx. Differentiating both...

Q: For Exercises 23-32, a. Identify the center. b. Identify the vertices. c. Identify the foci. d. Writ...

A: We’ll answer the first question (that is 23) since the exact one wasn’t specified. Please submit a n...

Q: A triangle that does not contain a right angle is called a/an-----------------triangle. Solving such...

A:

Q: Evaluate (if possible) the six trigonometric functions at the real number t. (If an answer is undefi...

A: from the trigonometric table, we will solve this question.

Q: R.2. Given: M = {-4, -2, 1, 3, 5} and N = {-5, -4, -3, -2, -1} List the elements of the following se...

A: given: M=-4,-2,1,3,5 and N=-5,-4,-3,-2,-1 we have to list the elements of the following sets: a) M∩N...

Q: In Problem,find the distance d( P1,P2) between the points P1and P2.   P1=(2,-3),P2(4,2)

A: The distance between two points are always positive . If we have two points such that whose  x and y...

Q: Why does the graph of a quadratic function open up if a &gt; 0and down if a &lt; 0?

A: To explain: The reason for the graph of quadratic function is open up if a&gt;0 and down if a&lt;0. ...

Q: х*- 81 Find Ltx3 2 2x - 5x – 3

A:

Q: Find the trace of the plane 3x − 2y + 5z = 4 in the xy-plane.

A: The given equation of the plane is 3x-2y+5z=4. The trace of the plane in the xy-plane is the project...

Q: 1. A trough is 1m long and its cross section is a triangle which is 3m high and 2m wide across the t...

A: The shape of the trough is like a prism, which has a cross-section and height. The area of the prism...

Q: find the work done by each field along thepaths from (0, 0, 0) to (1, 1, 1) in Exercise 1.F = 2xy i ...

A: Given: F=2xyi+j+x2k To Find: Find the work done by each field along the paths from 0,0,0 to 1,1,1. C...

Q: Let F be a di§erentiable vector field and let g(x, y, z) be a di§erentiablescalar function. Verify t...

A: a.) The divergence of a function f is represented as ∇·f,  and it is defined as, ∇·f=∂fx∂x+∂fy∂y+∂fz...

Q: The Complementary Function for (D – 14)?y = 0 is . O None O Yc = (C1 + C,x)e100z O Yc = (C1 + C2x)e!...

A:

Q: Show, using implicit differentiation, that any tangent line at a point P to a circle with center O i...

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Q: (a) Verify that the function below is one-to-one; (b) find its inverse.{ (1, 2), (3, 5), (5, 8), (6,...

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Q: By making an appropriate u-substitution, one has that sin(3x² – 2) dx = 1 a · sin(u) · du u + 2

A: Given: ∫sin(3x2-2) dx=∫a.sin (u).1u+2bdu

Q: Could you solve it and Please make the text clear

A: