Solve the following equations: a) Given the equation V3 + 4a – c = 7 solve this equation for a. The other variables are fixed constants. b) Given the equation y cot 01 – y cot 02 = d solve this equation for y. The other variables are fixed constants. c) Given the equation mị + pV = C Vị + V solve this equation for V. The other variables are fixed constants.

Q: Evaluate the integral. (Do not round. Use C for the constant of integration.) +0.6 + 3.6 x0.6 - 2e* ...

A: we use the formula integration of xn=xn+1/(n+1). and integration of ex=ex. see 2nd step.

Q: (Precalculus 1). Thank you for your work!

A: sin(A-B)=sin(A)cos(B)-cos(A)sin(B) cos(A-B)=cos(A)cos(B)+sin(A)sin(B) tan θ=sin θcos θ

Q: Find the area of the region in the xy plane bounded by the lemniscate r2 = a?cos26 %3D

A: To find the area of r2 = a2Cos(2θ).  We solve it by double Integral. 

Q: jestion 17 (k – 5)x«+1) k – 4 ind the derivative of >. (k – 5) (k + 2) x«+2) k – 4 (k – 5) kx®) Σ k ...

A: Differentiate wrt x

Q: n 1. Use the monotone convergence theorem to show that the infinite sequence, is convergent. n=1 2" ...

A: see 2nd step

Q: Solve the following differential equations: 1-First Order Differential Equations

A:

Q: are −→AB and −→P Q parallel? And if so, do they pointin the same direction?  A = (5, 8), B = (2, 2),...

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Q: Find the area of the given region. (Round your answer to four decimal places.) between y = x5 and y...

A:

Q: For Exercises 9-12, evaluate the functions at the given values of x. Round to 4 decimal places if ne...

A: Solution:Given     the following functionsTo find the values of x and round to 4 decimal places, if ...

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A: A function is usually represented as f(x) where x is the input to the function and f(x) represents t...

Q: 21

A: First convert base of log then differentiate

Q: Solve the following differential equations: 1-First Order Differential Equations

A:

Q: Show that the tangent line at a point P = (x0, y0) on the hyperbola(x/a)2−(y/b)2= 1 has equation Ax ...

A: Given equation of hyperbola  x2a2-y2b2=1 and given point is P=xo,yo. Since hyperbola is passing thro...

Q: Give the successive steps of Newton's method with an initial value of 1 = 2 to find a solution to 5e...

A: The function is: f(x)=x4-5exThe initial value is:x1=2

Q: Help solving problem

A: Solve the question

Q: 5. Sketch the graph of a function f with domain [1, 5] satisfying all the following conditions: • co...

A:

Q: I am stuck on the following question

A:

Q: In each of the following, assume that the given equation defines one or more differentiable function...

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you wan...

Q: Compute for dy/dx. Suppose y is a function of x. a. y = Arctan (sec(3x)) + π^(cot(2x)) b. y= = 3 (Ar...

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to...

Q: Which of the following series is a convergent Geometric series? 6" a) OE 5" n=1 bb Σ1.05)" n=1 5 c) ...

A: To find the Convergence of geometric series. 

Q: Evaluate f (x) = [(3x² + 4x + 3 ) (3x² ) ] at x = 1. %3D Select one: A. Discontinuous B. Continuous

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

Q: question 4

A: 1. For finding the length of the sides of the given triangle, we need to find the coordinates of ver...

Q: Metodo de coeficientes indeterminados 3y´´-2y´-y=x^2+3x-6     y(0)=0    y´(0)=0

A:

Q: Determine whether the geometric series is convergent or divergent. 1 + 0.4 + 0.16 + 0.064 + ... conv...

A:

Q: use knowledge of differential and integral calculus to anaylze

A: Bu using separation of variable we solve given equation   Since you have posted a question with mult...

Q: Show that no tangent line to the graph of f (x) = tan x has zero slope. What is the least slope of a...

A: Given: f (x) = tan x To find:  1) Show that no tangent line to the graph of f (x) = tan x has zero s...

Q: The cost, in millions of dollars, of a 30-second television ad during an annual television event in ...

A:

Q: 2. Write the definite integral for the following graph in two ways. Describe why you are able to do ...

A:

Q: Evaluate the definite integral. [ (e-e) dt Additional Materials eBook

A:

Q: 27

A: Here we find the area by using limit process.

Q: A tank contains 100 L of pure water. Brine that contains 0.1 kg of salt per liter enters the tank at...

A: Let y(t) = the amount of salt in the tank in kg. So the concentration at time t minute is then y(t)/...

Q: 7. Find an equation of the tangent line to the curve y = 1 y = 1+3r IVI that is parallel to

A: The objective is to find the equation of tangent line.

Q: You add a finite number of terms to a convergent series. Will the new series still converge? Explain...

A: To explain the problem

Q: Determine whether 4A - 6B is defined. If it is defined, express the result as a single matrix; if it...

A: The two matrices are  A=02-6111  &  B=210-36-4

Q: In Problems 39–46, show that (f ° g) (x) = (g° f) (x) = x. %3D 39. f(x) = 2x; g(x) = 40. f(x) = 4x; ...

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

Q: view File Edit View Go Tools Window Help * Fri Apr Adobe Scan Apr 23, 2021.pdf Page 2 of 9 Q Q Searc...

A:

Q: 24

A: Given :

Q: 5. a)

A:

Q: see the question as attached here

A: Given: A ball is dropped froma  height of 16 feet.Each time it drops h feet ot rebounds 0.81h feet. ...

Q: True or False Two solutions of the equation sin 0 2 57 - and 6 are 6

A:

Q: A division of Ditton Industries manufactures a deluxe toaster oven. The daily marginal profit functi...

A:

Q: Using Maclaurin series, determine to exactly what value the series converges. (In(3))" n! n=0 (Use s...

A: Solve

Q: In the given question as folowsthe random variable n represents the number of units of a product sol...

A: Pn=1323n P2=13232=427=0.1481   ∑n=0∞Pn=∑n=0∞1323n ∑n=0∞Pn=131+23+232+233+.....∞

Q: Find an approximation of the area of the region R under the graph of the function f on the interval ...

A:

Q: Finding the Sum of a Convergent Series:- In the question given as follows , find the sum of the conv...

A: To find the sum of the convergent series

Q: Calculus Question

A: According to the guideline we should have been able to solve only one question at a time   Solve#3

Q: (Precalculus 1). Thank you for your work!

A: First convert the angle in degree from radian than use the calculator to find the value.

Q: 5 (-1)"a,x" 3" 00 An+1 Suppose that → 1 as n → o for the series an What is the radius of convergence...

A: The given series is: ∑n=0∞ (-1)n an xn3n Therefore: fn=(-1)n an xn3n

Q: For the ellipse 25x2-50x+36y-875 0, write the equation in standard form, and identify the coordinate...

A: The general form of ellipse equation is as follows- x-h2a2+y-k2b2=1 The center of equation is given ...

Q: The path C is a line segment of length 15 in the plane starting at (3,4). For f(x,y)=4x+3y, consider...

A:

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.