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Q: suppose the line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the line tang...

A: Given information:The line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the...

Q: If l0g x=0.35 and fog6N0.5, evaluate the fo llowig expression.

A: Here, we use the above log rules.

Q: Need solution to 4).d. thanks

A: (d)The limit is a point, where the function approaches the input.The limit value of the given expres...

Q: y′+9x=4+7y Is y=e7x −5x+4 a solution to the differential equation shown above?

A: We have to find y is a s olution of this differential equation or not.y and differential equation i...

Q: Use the SubstitutionFormula, Integral from a to b f left parenthesis g left parenthesis x right par...

A: Let us assume y=(sec x)/4

Q: Logarithmic differentiation see below

A: The given function is ,

Q: A van is accelerating at a rate of 7 meters per second squared. The initial velocity of the van is 6...

A: Given: The van is accelerating at a rate of 7 meters per second squared. That is, a(t) = 7.The initi...

Q: 1 (x2+2x+ 1) dx -1 16 3 16 0 8 3

A: Given:The integral is

Q: Differentiate the function. f(x) = (3x5 − 2)18

A: Consider the function:

Q: differentiate f(t) = t^(1/3)/ (t-3) On the solution guide on the first step for the numerator, we ha...

A: Explanation:Consider the term t1/3.It is known that adding and subtracting a same number to any numb...

Q: Find the position and velocity of an object moving along a straight line with the given acceleratio...

A: Obtain the velocity as follows.

Q: For the region bounded by y 3x, the x-axis, and x 1, determine which of the following is greater: th...

A: The curves are given by,

Q: Is y=ex +8x+5 a solution to the initial value problem shown below? y′−y=−8x+3 y(0)=6 Select the ...

A: The given differential equation is y’-y=-8x+3.The solution of the deferential equation is given as, ...

Q: The region is formed by the graphs of y 4x and y 12-x. Find the volume of the solid obtained by revo...

A: For the shaded part the outer radius = 12-x and inner radius = 4sqrt(x).

Q: Optimization Problem A rectangle is constructed with its base on the diameter of a semicircle with r...

A: a)Let x and y be the base and height of the rectangle, respectively.Given that, the rectangle is con...

Q: dr A manufacturer of a product has a marginal revenue function given by 20070q -3q. The demand funct...

A: The marginal revenue function r(q) is 200 + 70q – 3q2.

Q: How can I get the result? Which is the result?

A: The given functions are,

Q: At the indicated point for the function, find the following. You may use the numerical derivative fe...

A: Given information:The given function is

Q: Calculate the area, in square units, bounded above by f(x)=−2x2 −x−21 and below by g(x)=−x2 −12x+9.

A: Click to see the answer

Q: An important question about many functions concerns the existence and location of fixed points. A f...

A: Given functions are f(x) = 17x cos x and f(x)=x. We graph them first and find where do they meet on...

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve a...

A: The given curve is,

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x.

Q: The equation abs(y/a)^n + abs(x/a)^n = 1, where n and a are positive real numbers. Make a complete ...

A: The equation abs(y/a)^n + abs(x/a)^n = 1,

Q: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...

Q: How can I get the result? Which is the result?

A: The definite integral is given as

Q: How do I choose my g(u,v) and h(u,v)?

A: The double integral is given by,

Q: Need help with D, E, and F. Anser A- h= 17.92/(pi)r^2 Answer B-S(r)= 35.84/r + (pi)r^2 Answer C- S'...

A: Given information:The surafce area of the baking powder is shown below:

Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height i...

A: v = 320 - 32tIf h represents the height of the particle at any time t, then:v = dh / dt = 320 - 2t

Q: How can I get the result? Which is the result?

A: The function is given by,

Q: x1 J: (x2+2x)2 dx= (x2+2x)3 C (x2 2x)3 C + 3 (x2+2x)3 +C 6 22-1C + -2 2x)1+C

A: Click to see the answer

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)32t +53, where t is in second...

A: a)The given velocity function is v(t) = −32t + 53.In order to find the initial velocity, substitute ...

Q: 2 -4 0 such that f(x)-4 0, make a conjecture about the value of 8 that satisfies the preceding ineq...

A: For part a, bAccording to epsilon delta limit.Let f(x) be the function defined on an open interval a...

Q: Find the derivative of y with respect to x

A: we are given an inverse function

Q: How do you find the limit of f(x) of the attached equation?

A: Notice that the graph is discontinuous at x=3.

Q: For the sequence 1, 4, 7, 10,..., its nth term is Preview My Answers Submit Answers ou have attempte...

A: The given sequence is 1,4,7,10, ...

Q: Given f(x) = x^3 + 3x - 2 , find y = (f ^-1 (x))' at the point (2,1)

A: Click to see the answer

Q: Find the flux of the following vector field across the given surface with the specified orientation....

A: Let r be the vector on the surface of the cylinder y=6x2 for 0 ≤ x ≤ 4, 0 ≤ z ≤ 2.Let's parameter...

Q: Calculate the directional derivative in the direction of v at the given point. fx, v)- tan Cy). -(1,...

A: The partial derivatives of f(x,y) at the point (x,y)=(5,2)are:

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The ...

A: Click to see the answer

Q: Evaluate the integral. Integral from nothing to nothing hyperbolic cotangent StartFraction x Over ...

A: Refer to the integral,Rewrite the hyperbolic cotangent as,

Q: Use a reference triangle in an appropriate quadrant to find the given angle.

A: The given equation is,

Q: Find the average value of the function over the region R. Please refer to picture.

A: The given function is f(x,y)=e-y in the interval x belongs to [0,8] and y belongs to [0,ln2]

Q: Graph the following function. Then use geometry to find the area and net area of the region describ...

A: Graphed the lines first. Area between y=3x-6,x axis and x=8 is above the x -axis (Blue shaded area)....

Q: y′−6x=5+2y y(0)=−3 Is y=e2x −3x−4 a solution to the initial value problem shown above?

A: The given differential equation is y′−6x=5+2y.The solution of the deferential equation is given as, ...

Q: How can I get the result? Which is the result?

A: Use Pythagorean theorem,

Q: Evaluate the following integrals (a) x^5dx (b)(5^2+x^10)dx (c) (12x^5+12x^3-7)dx (d) (x^3-7-(3/x^4))...

A: You have asked a question with multiple sub parts. I will address the first three of them. Please po...

Q: Find all the roots of the given function.

A: There are two ways to find the roots of this equation:One way is to graph the equation and find wher...

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the ...

A: The given curve is y = x^2/3, x=1 and y=0.

Q: (3x2+5)8x-92 fy(1x4 + x2 logarithmic differentiation gives y (32+5)(8r-92 1x44+x2 16 2x 3x2+5 6-x9 6...

A: We have to find derivative using lograthmic differentiation .Question is given below:

Q: A three times differentiable function fwith f'(x) 0 has a D-derivative at x given 2 f'"(x) 3(f"(x) D...

A: We’ll answer the first question since the exact one wasn't specified. Please submit a new question s...