Expand the expression. If possible, write your answer without exponents. 5/ 2 Vx -7 log 2 8+x2 2 x-7 log 2 V8 +x?

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). I-00 f(x) = -3x* Provide...

A: topic - limits

Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2* Calcula...

A:

Q: Compute f' (x) using the limit definition. f (x) = 1 – 15x-1 (Use symbolic notation and fractions wh...

A:

Q: g(z) = 3z' – sin(z +6)

A:

Q: Given the differential equation y" - 3y' = 4x e-3x The combined set of Differential Operators for th...

A:

Q: y = (x' - 2x2 +3) (7x² – 4x)

A:

Q: road length (in kilometers), T is the total county land area (in hundred-acres (Ha)), U is the urban...

A: We will find the number of accidents. 

Q: 3x – 2 if x 10 lim f(x) = lim I+10+ f(x) = f(10) f(x) cannot be made continuous because lim f(x) do...

A:

Q: Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0,...

A: We have to find flux. 

Q: Vx+3 4. f(x) = f'(1) x-4

A: The given function is: f(x)=x+3x-4

Q: Given the differential equation y" - 16y = x2 - 3x - 10 Find the Differential Operator for the Right...

A: According to question,Given differential equation,y''-16y = x2 -3x-10

Q: Factor the following expression completely: bw – 14w³ – 12w? %3D

A: Given Data: 6w4-14w3-12w2

Q: x²-16 Find k so that f(x)={ x-4 is continuous for all x. k = k ;x=4

A: Given,f(x)=x2-16x-4;      x≠4k          ;       x=4 Here f(4)=4limx→4f(x)=limx→4x2-16x-4limx→4f(x)=l...

Q: Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx...

A:

Q: Given the differential equation y" - 8y' + 16y = 5x? e4* (1) Find the combined differential operator...

A: First I have written the given differential equation into operator form and then find the auxiliary ...

Q: 3ysinxdx/dy-2xycosx=0, Find exact differential equations

A: Given  3ysinxdx/dy-2xycosx=0

Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis. ...

A:

Q: Given the series: ΣΗ 1 k +1 does this series converge or diverge? O diverges O converges If the seri...

A: Terms of a telescoping series will cancel each other except 2 terms in the series.

Q: x* + x³ + x² – x + 1 – x + 1 x(x² + 1)²

A:

Q: 5. A wooden block is made as shown in the diagram. The ends are right-angled triangles having sides ...

A: Given Total surface area = 7.200 cm2

Q: Let f(x,y) = ln(100 − x^2 − y^2). a. Find the domain of this function. b. Find the boundary of the d...

A: We know domain of log(x) is (0, infinity)

Q: Show that f(x,y) = 1-x* - y* has a relative maximum, even though D in the theorem is 0. The critical...

A: Given : f(x, y) = 1 - x⁴ - y⁴

Q: 2 2 -x+2x- 2, x>0

A:

Q: 3. Find the indicated values. a) f(x) = x³, g(x) = 6. (f°g)(x)? b) f(x) = -2x + 1, g(x) = x², h(x) x...

A:

Q: Question 7 This is a cuboid. Which of the following is not a net of a cuboid? B

A:

Q: x + 1 dx x,

A:

Q: Evaluate the integral. | cos" (x)dx cos"(x)dx

A: According to question,given Integral,Let I = ∫ cos-1x dx

Q: Select ALL statements true about the function whose graph is shown below. A. The function is defined...

A: The limit of the function at a point 'a' in its domain is the value of the function approaches as it...

Q: 3x 3x 16 cos + isin 4. 4. Sa 5x 34 cos + isin 3 3

A:

Q: * Limits of Polynomial, Rational, & Radical Functions Evaluate the given limits. 1. lim Vx+ 16 X-7

A: Here we have to evaluate the given limit.

Q: Suppose that the manufacturing cost of a personal digital assistant (PDA) is approximated by M(x.y) ...

A:

Q: Given the differential equation y"' + 7y" + 6y' = 10x sin(4x) Find the Differential Operator for the...

A: Topic = Differential equation

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -...

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx, y=32x...

Q: By how much cloth price rose during the

A:

Q: Let z = f(x,y) = 6x - 9xy + 4y. Find the following using the formal definition of the partial deriva...

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of th...

Q: 1. This problem is designed to help you understand that definite integrals rep- resent the area unde...

A:

Q: The equation = xy? +2y +x-4.5 with the initial condition y(x = 0) = 1 is to be solved dx %3D using a...

A:

Q: Evaluate the integral. S* con5 8x dx n/2 O-2 15 15

A:

Q: een Sketch the sold and a typical disk or washer. Graph Graph Description Graph Graph Description Gr...

A: Given:- y=ex , y=0 , x=-2 and x=2  To find:- Figure of solid rotating region bounded by given curve ...

Q: 16x2 - 25 -da Evaluate the integral: 23 (A) Which trig substitution is correct for this integral? O ...

A:

Q: Calculate the difference quotient for f (x) = 5- x² at a = 3. (Express numbers in exact form. Use sy...

A:

Q: Let f(x) = sin(x) and g(x) = x². Find (fo g)' (x). (2æ)cos(x²) O (-2x)cos(x²) 2sin(x)cos(x) 2xcos(x)

A: Topic = Functions

Q: Determine if the given function is continuous on each of the given intervals. A. f(x)=3x³+4x²-x+6 1....

A: This question is related to Functions, we will solve it using given information. 

Q: dx 3.

A:

Q: f(x)=x2+9   g(x)=4x (f+g) (f-g) (fg) (f/g)

A:

Q: P(z) how might the function 9(x) Question 3: When working with rational functions of the form f (x) ...

A:

Q: 1 R(t) = 2 sin(t) – 4 cos(1)

A:

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = 2x2 +3xy ...

A:

Q: C 1000 A В

A: We know that sum of angles of triangle  <A+<B+<C=180°  <A+27°+94°=180°  <A+121°=180° ...

Q: Question 1: When working with rational functions of the form f (x) = P(z) what information can you 2...

A: We can find domain of f(x)