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Q: 215- Find the Line that passes throug h the point (l,2) and througgh the point of inter Section of t...

A: The equation of a line in two-point form is:

Q: In Exercises 41 and 42, find

A: Explanation Given that, f(x)=1xg(x)=1x+2 Formula Used: (f∘g)(x)=f(g(x))

Q: = 8x + 4+0 dx Example 1: If u(x, y) = x³y² + x² – 3y + 4 find a2u a2u a2u and f) Jyəx e) ду? ди ди a...

A: Given u = x3y2 +x2 - 3y + 4

Q: Determine the extrema of the following function on the given interval, if there are any, and determi...

A: Given: fx=sinxcosx-2 To determine: The extrema of the following function on the interval 0, 2π and t...

Q: Find the present value of a continuous stream of income over 3 years if the rate of income is 80e-0....

A: Given the rate of income , ft=80e-0.08t Number of yearsT=3 Interest rater=11% The present value can ...

Q: B/ Draw the following function by steps y = 4x - 1

A: Click to see the answer

Q: Ex2Eulers method dy-y- ニーュー メキー メーコyo o<メ< heoo? ー+hfexョプコロ)

A: We have to find the solution of the equation y'=x-yx+y in the interval 0,1. We have the formula from...

Q: As h approaches 0, what value is approached by sin ( +4) - h Hint: sin

A: To find the limit

Q: The population of Silver Run in the year1890 was 6250. Assume the population increased at a rate of2...

A: Solution: Consider the given that first year 1890 The population rate is 2.75% per year (a) Estimat...

Q: A small manufacturing company produces child-sized and adult-sized adirondack chairs. The company ma...

A: Let Company produces (x) child size chairs and (y) adult size chairs. Therefore, Total number of cha...

Q: Smith Hauling purchased an 18-wheel truck for$100,000. The truck depreciates at the constant rate of...

A: Given that Smith Hauling purchased an 18-wheel truck for $100,000 and it depreciates at the constant...

Q: 9/ Evalaale he fillow inlag rad S sin'z asx dy x CoSx

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question...

Q: Use the observations lim, k = k and lim, x = c, and the properties of limits to find the following l...

A: Given, limx→ck=k, limx→cx=c (a) limx→cx3+4x2-3 from given limits we can say limx→cc3+4c2-3c3+4c2-3

Q: Evaluate the following integrals using techniques studied x(x+ 5)* dx 2. 4x cos (x² + 1)dx

A: Given: 1. ∫xx+54dx2. ∫4xcosx2+1dx

Q: The function f(x) = 6x + 9x¯1 has one local minimum and one local r This function has a local maximu...

A: Click to see the answer

Q: Prove that the function f(x) = x3-3x2+3x-100 is increasing on R

A: Given function is : f(x) = x3-3x2+3x-100 We have to prove that f(x) is increasing on R

Q: Consider the function f(æ) 22 + 3x? – 12x – 18. a. Find the first derivative. f'(x) = %3D b. List an...

A: Hello! thank you for the question but as per our honor code, we'll able to solve only three subparts...

Q: Find the rate at which the reciprocal of a number changes as the number x increases. Find the rate o...

A: Click to see the answer

Q: ( 1 4 lim x - 2 x² – 4

A: We know that a2-b2 = (a-b) (a+b) also, (a+b) 2 = a2 + b2 + 2ab

Q: Calculus Question

A: We are solving the first three questions and for the next question post the question again and also ...

Q: Calculate the arg z and Arg 2,where |-130 And write 2 in the form re Z = AC reie.

A: Click to see the answer

Q: 29 - For what values of a and b is | S x+3a-b axt 26 3x-5 Continuows at every X?

A: g(x)=ax+2bx≤0x2+3a-b0<x≤23x-5x>2

Q: The number of guppies in Susan’saquarium doubles every day. There are four guppies initially.(a) Wri...

A: Click to see the answer

Q: x3 [27 2 11] If A= 2+ y 4 2 11] 0 and B = 10 4 0find the values of x, y. 2 7 3 2 7 3

A: Given A and B are two 3 × 3 matrix. We have to find the value of x and y.

Q: Find the limit lim x3 e-x2 X→00

A: Click to see the answer

Q: S(e) - f(c) Let f(r) VI+ 6. Find f"(3) using the limit definition f"(c) = lim

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Q: Find the derivative of the following functions using the limit definition of derivatives and solve f...

A: " Since you have asked multiple question, we will solve first question for you. If you want any spec...

Q: Evaluate the integral

A: To find ∫azlnz(lnz+1)dz, given a>0,a not equal to 1 Let us consider, u=zln(z) Differentiating u w...

Q: Find the directional derivative of f(x, y) = cos(x) + y² at (T,2) in the direction of (3, –4).

A: Click to see the answer

Q: Calculus Question

A: We are given that during the time interval 0≤t≤12 minutes, her velocity v(t), in miles per miles per...

Q: Determine the following integral by making an appropriatesubstitution.

A: Given∫cos3x2-sin3xdx

Q: Let f(t) be the balance in a savings account at the end of t years. Suppose that y = f(t) satisfies ...

A: Given differential equation:- y'=0.04y+2000

Q: A Find a numbel z That satisfies The condubion g af The MUT I dx= 9 4 -4 O -a 0-15

A: Click to see the answer

Q: Qy - Boyle s Law says that the Volume V of agas at constant temperature increases Whenever the pross...

A: Click to see the answer

Q: Separable equations

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

Q: find f'tx) w/

A: Click to see the answer

Q: Find the domain and range of each of the following functions(a) f(x) = 5x − 3(b) g(t) = √4 − 7t

A: Given: a fx=5x-3b gt=4-7t Domain : domain of a function is set of all values of x for which function...

Q: Convert the following to radian measure. 450°, -210°, -90°

A: We have to convert the following to radian measure: 450°, -210°, -90° We know that, 180°=π radians T...

Q: Define sin t, cos t, and tan t for an angle of measure t for any t.

A: Define sin t, cos t and tan t for an angle of measure t. Consider a right angle triangle with base a...

Q: 1) y = x3 + sin x² + sin-1 5x 2) y = 32x + In (sin x²) + In(sin¯' 5x)

A: some functions are given , we have to find its derivative

Q: 1) Find dy/dx if : y = ln (tan¬x)

A: Explanation of the solution is given below....

Q: Evaluate xe dx (x + 1)² using integration by parts. [Hint: f(x) = xe“, g(x) = (x +

A: ∫xex(x+1)2dx

Q: %3D Find the directional derivative of f(x, y) = cos(x) + y? at (7, 2) in the direction of (3, –4).

A: f(x,y)=cos(x)+y2 at (π,2) Find directional derivative at (3,-4)

Q: Find t such that 0 ≤ t ≤ π and t satisfies the stated condition. cos t = cos(-π/6)

A: Given: cost=cos-π6

Q: Please solve my homework -1 just like i have attached the sample picture please solve like that

A: Here, the given function is: xj=(-1)j5

Q: water leaking onto a floor creates a circular pool with an area that increases at the rate of 3 squa...

A: Let A=π r2 differentiating A with respect to time tdAdt=2πr ...

Q: Q1) Find the domain and range of the following function: x + 1 f(x) 3 - x

A: Click to see the answer

Q: EXAMPLE 4 Finding Vertical Asymptotes Find the vertical asymptotes of f(x) = . Describe the behavior...

A: fx=1x2 Vertical asymptotes are the values of x for which denominator is zero. That is, x2=0⇒x=0 Ther...

Q: Find the dimensions of a rectangular box of volume 1000cubic inches for which the sum of the dimensi...

A: Let x,y,z be the length, breadth and the height of the rectangular boxxyz=1000 and the sum x+y+z=f(...

Q: Find the derivative of the function. y = x(8−3x)

A: To calculate the derivative use the u by v rule: ddxu·v=udvdx-vdudxv2