Given I 32t + 2 and y = 112t2 + 121 da (i) dt dy (ii) dt dy (iii) da (write the simplified answer)

Q: Find the derivative of 22x - 10

A: Given:            22x-10 Solve: ddx22x-10 Apply sum/difference rule: ddxfx±gx=ddxfx ±ddxgx     =ddx2...

Q: Two spheres with radii 36 and one sphere with radius 13 are each externally tangent to the other two...

A: The angle of the radius and the tangent, both at the point where the tangent is at the point on the ...

Q: Thank you for the help :)

A:

Q: I would like to create a rectangular orchid garden that abuts my house so that the house itself form...

A:

Q: Write 5 real life applications of derivatives.

A: To write the 5 real life applications of derivatives

Q: 2+2

A: Given: 2+2

Q: A force of 4 N will stretch a rubber band 6 cm. Assuming Hooke's law applies, how much work is done ...

A:

Q: Thank you!!

A:

Q: Show that (f 3)' = 3f 2f'.

A:

Q: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs ...

A:

Q: Solve f1x2 = 3

A: Given: f(x) = 3 To solve: The given function.

Q: Solve 3x3 6 - 15x2

A: sdfas

Q: The derivative of y = x is А. у' 3 В. у' 3 B. y' = C. y' = 3 2 D. y' = 3

A:

Q: Solve the differential equation. exdy + 4ex y = 3, x > 0 dx

A:

Q: Recall from the Volume and Average Value section in the previous chapter that volume could be found ...

A:

Q: Find the average value of the function f over the interval [0, 3]. f(x)=6/x+1

A: Given function is fx=6x+1 and interval is 0,3.

Q: Identify whether each statement is true or false.

A: since you have asked multiple questions in single request so we will be answering only first questio...

Q: Find the minimum and maximum value of the function on the given interval by comparing values at the ...

A: To find the minimum and the maximum, first, calculate the first derivative of the function, y=5 tan-...

Q: Refer to the figure below which contains the graph of f′(x)​, the derivative of the function f(x). I...

A: The given figure contains the graph of f'x Also, f-1=2.25 Since, linear approximation formula is: Lx...

Q: On this interval, find the length of this curve:

A: Solution:-

Q: XX. Determine the length of the chord common to the circles x' +y? = 64 and x² +y² – 16x = 0.

A:

Q: Use the shell method to find the volume of the solid generated by revolving the plane region about t...

A: Find the volume of the solid by using shell in method  Given line x=6 y=x,y=0 ,x=4

Q: Find the location of the minimum absolute extremum for A. No minimum the function. В. х%3D — 1 Af(x)...

A:

Q: The derivative of f(t) = 21° · h(t), where fand h are differentiable functions is: A. 10° · h(t) + 2...

A:

Q: Given that f(3) -2 and f'(3) = 4, estimate f(3.5) using a linear approximation.

A:

Q: Solve using the definition of a derivative. y=2x^2+ 3x , (1,5)

A:

Q: 3

A: Analyze and sketch the following curves.Intercepts, asymptotes & critical points1. y=x4+4x3+4x22...

Q: Use vectors to explain why it is difficult to hold a heavy stack of books perfectly still for a long...

A: Consider that there is a heavy stack of books in which the force act in the downward direction is th...

Q: Let f(x) = log3(5æ°). Find f'(x).

A:

Q: Find the derivative of F(x) = 6xln(2x^2+1)+4x^2 arctan sqrt x . Write down the steps to your final a...

A:

Q: Calculate for the function 2x-9 z = f(z,y) = , z(u, v) = v'e", y(u, v) = u'e %3D %3D z+3y Select the...

A:

Q: Convert the following equation into standard form. 7x y = - + 4

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of f(r, y) = x + 2y + 2 subject to t...

A:

Q: Evaluate

A:

Q: Write the quadratic equation in standard form: 8 + 5x – 3x? = 4x + 1 -

A: The standard form of quadratic equation is ax^2 +bx + c = 0

Q: Use your paper to show the work and answer to the following indefinite integrals. If f(x)= 6x² – 3x ...

A: In this question we need to find a indefinite integration of the give function.

Q: What is the ordered pair that is the solution to the system of equations? y 14 4 X. 2 4 A. (0,5) В. ...

A: Graph of intersecting lines To select the correct ordered pair which is the solution to the system ...

Q: *8=32

A:

Q: I have added an image

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: Can you please add a simple draw of the question

A: Rate of change

Q: Let C(x) denote the total cost of manufacturing x units of some product. Then C(x) is an increasing ...

A: We have, C(x) = Total cost of manufacturing x units of same products. Since, C(x) is increasing for ...

Q: g(x) The graph of a function g is shown above. At which of the following points is g'(x) positive an...

A: g'(x) is positive where g(x) is increasing. g'(x) is decreasing where slope of g(x) is decreasing.

Q: Given z 8 ln(t) and y 64 t then find dy dx dy dx2

A: Given problem is :

Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of cl...

A: Solution:Given Perimeter of the entire window=20 feetTo find the dimensions of the window Formula:If...

Q: Set up, but do not evaluate, an integral for the surface area generated when the curve x = sin(y) 0 ...

A:

Q: Calculus Question

A:

Q: Given x = 4 In(t) and y = 16 t² then find dy dx d²y dx?

A:

Q: x2-3x+4 Q2/ Find the range of the function f(x) x2+3x+4

A: Range of rational function (quadratic/quadratic)

Q: For tax reasons, I need to create a rectangular vegetable patch with an area of exactly 98 square fe...

A: A rectangle is a quadrilateral with four right angles with 2 pairs of opposite equal sides. Area of ...

Q: 1 4 5 (minutes) C(t) (ounces) 5.3 8.8 11.2 12.8 13.8 14.5 Hot water is dripping through a coffeemake...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.