Solve the equation (|2r + 4|)/(-3) = -6 Enter multiple answers seperated by commas, such as x = 1, x = -1. If there are no result solutions, enter no real solutions.

Q: ■ Find the limit.

A: Given;                               limx→2-x2-2xx2-4x+4 Evaluate:              limx→2-x2-2xx2-4x+4 ...

Q: Solve the system 2x - 3y = 8 - 2x, 3x + 4y = x + 3y + 14 by the substitution method.

A:

Q: find Ly for the given differential operator if (a) y(x) = 2e3x, (b) y(x) = 3lnx, (c) y(x) = 2e3x +3ln...

A: L=D2-x2D+x a). yx=2e3x Now, Ly=D2-x2D+x2e3x=D22e3x-x2·D2e3x+x2e3x=D6e3x-x2·6e3x+2xe3x=18e3x-6x2e3x+2...

Q: Evaluate the limit.

A: limt→∞t43+t134t23+12

Q: Verifying derivative formulas Verify the following derivativeformulas using the Quotient Rule.

A: Quotient rule: ddxfg=gxdfdx-fxdgdxg2x

Q: 19–60. Derivatives Find and simplify the derivative of the followingfunctions

A: Given function f(t)=t53et Recall product rule ddxmn=mddxn+nddxm f'(t)=t53ddtet+etddtt53  

Q: Solve triangle ABC if a = 6, b = 9, and c = 4. Round angle measures to thenearest degree.

A: From the given data, it is clear that the longest side of the triangle is b. Draw a rough diagram fr...

Q: Determine the convergence or divergence of the series

A: We have the given series as ∑n=1∞lnn+1n Thus, limn→∞lnn+1n=limn→∞lnnn+1n=ln1+0=ln1=0 From the series...

Q: Find the value of the derivative (if it exists) at each indicated extremum.           f(x) = (x + 2)...

A: Given:fx=x+223

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar u + v.

A: Given vectors are: u=2i-5j v=-3i+7j w=-i-6j

Q: e or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use the ...

A: Given the graph of f: To sketch the graph of f'

Q: Write the English phrase,given in inverted commas, as an algebraic expression. Then simplify the exp...

A: "A number is decreased by the difference between eight and the number"Let the number be = xDifferenc...

Q: (a) Find the number  a such that the line x = a  bisects thearea under the curve  y = 1 / x 2  , 1&l...

A: (a) First we sketch the curve Let x = a is any point of x – axis, such that the line x = a bisects ...

Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

A: We have to determine whether the statement is true or false. If it is false, explain why or give an ...

Q: Write equations in point-slope form, slope-intercept form, and general form for the line passing thr...

A: Given: A line passes through the point -2,5 The line is perpendicular to the line y=-14x+13 Let m ...

Q: Solve the equation: x - 5 = √(x + 7)

A: Given:x-5=x+7

Q: Betty and Karen have been hired to paint the houses in a new development. Working together, the wome...

A: let's Karen takes t hours in painting a house alone then time taken by Betty in painting the house a...

Q: Rewrite the expression in terms of the given function or functions.

A: We have to rewrite the expression in terms of sec x and tan x where function is: 1cosec x-sin x We k...

Q: Use the given vectors v = i, w = -5j to find v.w and v.v

A: we have been given the vectors  v = i, w = -5j  and we have to find  v.w and v.v  

Q: Write number in scientific notation 0.0000000000802 ?

A: Concept - If we are given a number in decimal form as shown, remove the decimal from the numerator a...

Q: Why is r(t) = ⟨ƒ(t), g(t), h(t)⟩ called a vector-valued function?

A: Given r(t) = ⟨ƒ(t), g(t), h(t)⟩. We need to give reason why r(t) is called vector-valued function.

Q: If f(x,y) = sin(2x+3y) then f yy

A: Given: A function fx,y=sin2x+3y fy is the derivative of fx,y=sin2x+3y with respect to y. And fyy is ...

Q: Solve using the quadratic formula: 3x2 - 2x + 4 = 0.

A: Given: 3x2-2x+4=0

Q: Simplify : (1/x + 1/y) / (x+y)

A: We have to simplify: 1x+1yx+y Taking xy as LCM in numerator of the expression, 1x+1yx+y=y+xxyx+y

Q: Find the domains of f and f−1 , (a) find the ranges of f and f−1 , (b) graph f and f−1 , and (c) sho...

A: Given that, f(x)=41+x2, x≥0f-1x=4-xx

Q: Angles of a triangle For the given points P, Q, and R, find the approximate measurements of the angl...

A: Given coordinates of P,Q and R.P = 1,-4Q = 2, 7R = -2, 2Length of side PQ = Distance between P and Q...

Q: Complete the square and write the given equation x2 + y2 - 6y - 7 = 0 in standard form. Then give th...

A: Given equation x2+y2-6x-7=0 Solve for completing the square x2+y2-6x-7+9=0+9x-32+y-02=42 Comparing t...

Q: Begin by graphing f(x) = 2x. Then use transformations of this graph to graph the given function g(x)...

A: Plot the graph  f(x)=2x. If limx→±∞h(x)=a then y=ais the horizontal asymptote of the curve. If limx→...

Q: Find the exponential function y = Cekt that passes through the two given points.

A: From the graph we can clearly see that the function is passing through 0,2 and 4,3Nowsubstitute 0,2 ...

Q: Write the equation 5 = logb 32 in its equivalent exponential form.

A: Our Aim is to write the equation logb32=5 -(i) in its equivalent exponential form.

Q: Find two positive numbers satisfying the given requirments. The product is 164 and the sum is a mini...

A: Let, one number be = xSecond number be = yProduct is 164, thenxy = 164y = 164x        .................

Q: True or false: The minimum value of the function y = 2 sin x + 1 is -1._______

A: True or false: The minimum value of the function y=2 sin x+1 is -1.

Q: If θ is an acute angle and cot θ = 1/4, find tan (π/2 - θ).

A:

Q: Solve ,  y" - 9y' + 20y = 0

A: Given DE is y11-9y1+20y=0 find out the solution of the given DE

Q: The accompanying table shows the cost C(x) (in dollars) of mailing a first-class letter weighing x o...

A: Given:

Q: Find f[g(x)] and g[f(x)]. f(x) = Vx+3, g(x) = 12x2 - 11

A: Given: f(x)=sqrt(x+3) g(x)=12x2-11

Q: Find the point on the sphere x2 + y2 + z2 = 4 farthest from the point (1, -1, 1).

A: To find the point on the sphere

Q: Determine the interval(s) on which the following functions are continuous. 3x? - 6x + 7 g1x2 x + x +...

A: To Determine: the interval on which the following function are continuous . Given: we have g(x)=3x2-...

Q: simplify x + 2 61. 62. x + 2 -E-

A: (61) Consider the given expression as 1+1x+21-1x+2