1. Use the given pair of functions to find and simplify expressions for the following functions. f (x) = 7x2 – 9, g(x) = Va State the domain of (go f)(x) using interval notation. Domain: (-00, -V4)ulV,) Domain: (-1

Q: What is the particular solution to the differential equation with the initial dx condition y(-2) = 3...

A:

Q: 1. Use calculus to compute the integral / (3r + 5) sin(r)dr. 2. Use calculus to compute the integral...

A:

Q: A sample of radioactive material starts with 0 grams . After 3 half -lives have passed , how much ra...

A: Let's find. 

Q: . We are given r'y-5x+24y 6/ỹ, where x and y are both functions of t. If dx = 2, x= 1, and y=9, what...

A: Given query is to find indicated derivative.

Q: To evaluate the integral dx x+5x+6 we use the partial fraction decomposition of the integrand. Selec...

A:

Q: Carbon decays exponentially. How many grams of the carbon will be left in 139 years, if 123 grams we...

A: Initial amount P0=123 grams time t=96 years Amount left after 96 years =P=66 grams Exponential decay...

Q: We wish to evaluate the following intogral 10 -12xe de We will accompliah this using Integration by ...

A:

Q: Evaluate the following indefinite integrals: J+c. 1 dx 3D (x + 3)(x + 5)

A:

Q: 3. Let V, W and U be finite dimensional vector spaces. Suppose S: V W andT:WU are linear. Show (a) n...

A: 3. Let V, W and U be finite dimensional vector spaces. Suppose S : V→W and T :W→U are linear. Show(a...

Q: メメ m FCX) メー」 メー メ 0.9 0.99 0.999 1.ool 1.01 flx)

A:

Q: Find the area bounded by the given curves and lines. 1 (2-2)3 x = -2 x = 0

A: This question is based on application of integration.

Q: Evaluate the integral. Answers should be expressed as an integer (no decimals), no spaces, no units....

A: In this question we have to evaluate the given Integral.

Q: 7. g(t) = tỉ %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?.

A: Given : h = 4(21-x) x = 12.92 cm  

Q: The marketing research department for a computer company used a large city to test market the firm's...

A:

Q: A draining reservoir has the shape of an inverted right circular cone with a base radius of 30 m and...

A:

Q: 2. Use the Integral Test to determine if the series 1 (n+ 2)/4 n=1 converges or diverges.

A: Given problem:-

Q: Find Vlak| for the series. k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation and ...

A:

Q: Given that n21 and xn = V5n2 + 2n -3n 00 1. Will {xn}, be divergent or convergent? 2. Will E=1Xn be ...

A:

Q: 6. y = In (e' + e")

A: The given problem 6 is solved below in detail.

Q: S (1 – cot² x) dx b)

A:

Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

A:

Q: 1 If- csc 0 – 1 + csc 0 + 1 1 = 2 sec 0, and 0 and acute angle, then the value of (cot 0 + cos 0) is...

A: topic - trigonometric identities

Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

A:

Q: : Evaluate the integral sin x cos x dx

A:

Q: Use the First Derivative Test to find relative (local) maximum points, if any, of the given function...

A: a) y=x3-xDifferentiatey'=3x2-1For local max or miny'=03x2-1=0x2=13x=±13x=-13,13Substitute x=-13 in y...

Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

A:

Q: If cos? 0 – 3 cos 0 +2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is 8. 3 ...

A: Given query is to find the value of indicated expression.

Q: Substitution Method (15) (x² – y²) - xy = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Evaluate the integral x Inx dx Select one: Inz -+C Oi In r- a +c 0 in z- +c 3. a Ina O None of them ...

A:

Q: 2 ydx = 3xdy; when x = -2, y = 1 Ans. y = (x/2)3

A: Given: 2ydx=3xdy ; x=-2, y=1   We know that; ∫1ax+bdx=1alnax+b+C

Q: 1.5 (0,7, 0.2y f0.7,0.2) O5 ー15 - O.5 0.5 1.5 -0.57 (-1,2,-1) -15 -2

A: The f' is undefined where the graph of f has shard edges that is at x=-0.7,0,0.7,1 f(x) has sharp ed...

Q: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

A:

Q: Find the open intervals on which the function f(x) = ax² + bx + c, a ± 0, is increasing and decreasi...

A: Given f(x) = ax^2+bx+c, a is nonzero differentiate withe respect to x df/dx = 2ax+b for increasing d...

Q: Evaluate the integral: 1 2x + 4 dx x² +1/

A:

Q: CHAIN RULE DERIVATIVES 5.).968)= (7-6W)" %3D 6. 120° (70 +2)" 7) g(x) = 13 bc 5o+ 4c+ 9 }

A: As per bartleby guidelines we only give first question answers. 

Q: 2x +4 9. Let f(1) = Find the equations of the horizontal and vertical asymptotes of %3D 5x +2 y = f(...

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: Profit of a Vineyard Phillip, the proprietor of a vineyard, estimates that the first 10100 bottles o...

A:

Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

A: Given query is to find the limit of the expression.

Q: Find the absolute maximum and minimum values of the function on the given set R. (x,y)=(x-2)'+y'; R-...

A:

Q: The expression below is an evaluation of which integral? * 6x + 3 ln|æ – 2| – 18 ln|æ + 4| +c 2x2 – ...

A:

Q: Work Problem 1 Evaluate the integral 13 (x+3)°dx

A: Topic = Integration

Q: Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mi...

A: Given: The Saddle Mine costs $16,000/day to operate. The Horseshoe Mine costs $16,000/day to operate...

Q: Sketch the level curves of the function f(x, y) = y – 3x² for c = 2. 8+ 5- 4 2 -6 -5 -4 -3 -2 -1 4 -...

A: Explanation of the answer is as follows

Q: Evaluate the integral: ſo (x³ – 5æ + 7)dx. Select one: O None. 19

A: Given :∫01(x3-5x+7)dx

Q: Tork Problems [. Evaluate the integral xV x+1 dx

A:

Q: sin'x+8 sinx+16 sin’x+4 sinx

A: topic -  trigonometric function 

Q: F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extrema if any...

A: Question- F(x)= (x^2 + 5) /(x-2) find where the function is increasing/decreasing and has local extr...

Q: C. Optimization 1. Use the first derivative test to determine the relative extrema of the following ...

A: The given function f(x)=x2x-22

Q: +00 S" x?dx

A: To write that the given integral is improper or not.