Evaluate the line integral F. dr, where C is given by the vector function r(t). Jc F(x, y, z) = (x + y²) i + xz j + (y + z) k, r(t) = t² i +t³j2tk, 0 st ≤2

Q: et f(x) = 7x and g(x) = 2x² ind the area of the region enclosed by f(x) and g(x). nswer:

A: Given query is to find area of the region enclosed.

Q: 4. Find the arc length of the parametric curve x = t. sint y = t· cost 0 ≤t≤1

A:

Q: Evaluate the line integral, where C is the given curve.     Cxey dx, C is the arc of the curve x =…

A: NOTE: Refresh your page if you can't see any equations. . where C is the arc of the curve x=ey from…

Q: Use limit notation to describe the unbounded behavior of the given function as x approaches co. v(x)…

A:

Q: Question 1 Determine the remainder of (2x³-5x² - 4x + 7) + (x + 2) A) -21 B -6 C -11 D -37

A:

Q: Calculate the line integral F F. dr, where F = (3z — 1, -y — 2, 2x) and C is the boundary of a…

A:

Q: Identify the rectangular form corresponding to the parametric equations x (t) = 41³-1 and y(t) =…

A:

Q: ze pu хе and Ze ле of ye"- 5 sin 32 32

A: Given query is to find indicated derivative.

Q: The marginal revenue derived from producing q units of a certain product is given by R'(q) dollars…

A: To solve the following problem

Q: -2 0 1 O: 2 Find the absolute maximum of f(x)=√√4x2² on [-2, 2].

A: Here we have to choose the correct option.

Q: The rectangular coordinates of a point are given. Plot the point. (-6√2,-6√2) O O -10 -10 (r, 0) =…

A:

Q: Find the general term of the sequence, starting with n= = 1. Determine whether the sequence…

A:

Q: Question Find the area of the region enclosed by one loop of r = Enter an exact answer. Provide your…

A:

Q: 11. Let f be the function f(x) = x² In x. For what value of x is the slope of the line tangent to th…

A:

Q: ý + 3y = Sinx + 2 cos x

A:

Q: Text:If f(x) = tan(2x), what is the absolute difference between f(5.4) and T₂(5.4), if the second…

A: To solve the following

Q: Given f(x, y) fzz(x, y) = fzy(x, y) = – x³ − 3xy¹ + 3y5, find

A: f(x,y)=-x3-3xy4+3y5for  fx(x,y)  assume y=constant and diffrentiate with respect to x of…

Q: 2y"+y'-6y=0?

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is

Q: Consider the function f(x) = 5x² - 6x +9, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: ginen  f(x)=5x2-6x+9for critical points put f'(x)=0dxndx=nxn-1

Q: log3x18 3/ = = √3²) 2 - Blog (y) 1083 = A log3 x + Blog y then a + log₂ (2182) log2 (x) X syntax

A: Given query is to find the value of A and B.

Q: dy d²y dx² dx 3. Find and with implicit differen- tiation. (a) xy+3y² = 10x

A:

Q: Find each of the following indefinite/ definite integrals (a) [ 4v³ dv

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Using x-axis, (b) y-axis, or (c) the origin. (a) Is the graph symmetric with respect to the x-axis?…

A:

Q: 8. 2 x²+2x+4 x +1 dx

A:

Q: Suppose f(x, y) = x²y + 6. Compute the following quantities: f(0, 0) f(4, -3) • f(-3, 4) . . = =…

A: NOTE: Refresh your page if you can't see any equations. . substitute (x,y)=(0,0)

Q: 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from…

A: Given query is to find the calories decrease in 4 hours.

Q: h(t) = 4e5t-7t-3 Determine the value of h'(-1).

A: Given query is to find indicated derivative.

Q: The general solution of the D.E. (x³ + 3xy²)dx + (3x²y + y³)dy = 0 is a. (x² + 6x²y² + y4) = c O (a)…

A:

Q: Let F(t) Find d fr(1) dt ( (don't include the +C) fr(t)dt = < Question Help: Video Add Work

A: To evaluate the integral of given position function

Q: A microbial population's mass grows in such a way that its rate of growth r(t) = m(t) doubles every…

A: A microbial population's mass grows in such a way that its rate of growth r(t)= m'(t) doubles…

Q: Find (g.f)(x) if f(x) = 4x2 + 2x + 8, and g(x) = 2x - 6 A 8x² + 4x + 22 B) 4x² + 4x + 10 C) 4x² + 2x…

A: Solve

Q: Using the u-substitution u = 3x² + 1, identify f such that the integral =) = help (formulas) x 3x²+1…

A: Solution Given that  u=3x2+1

Q: Evaluate the definite integral √³ (e-te C (et cos(t), et sin(t)) dt

A:

Q: West Gorham High School is to be located at the population center of gravity of three communities:…

A: We have to find the location of West Gorham High School.

Q: A What is the asymptate. graph of the function? [y=x+1/ B The graph of the function interrupts its…

A: We need to find intercepts and find how does function approach.

Q: derivative and determine its range. in (a). Sketch the graph of the function using the first of is…

A:

Q: Let g be differentiable with g(-1) = 2, g'(-1) = -3, and a tangent line approximation of g(-1.024) =…

A:

Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

A: given  c'(x)=26x+8given  total cost of producing 39 units is $23,609∫xndx=xn+1n+1+c

Q: 3. Find the area of the shaded region. y=6-x² -2 4 2 -2 -4+ H 2 y = x

A: Here is the solution:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x= x and then find the nth Taylor…

A:

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper…

A:

Q: 1₁ w² w² In(w) dw

A:

Q: √x√12x² + 4 dx

A: We can solve this as follows:

Q: The table below gives the value of a function f and its derivative f' at several values of x. x 0 1…

A:

Q: Use the table to solve. X g(x) -2 1 5 a. (f+g) (4) = = B. (f-g) (2)- c. (²₁₂) (-2) = d. f - O to O 2…

A: To find the value of given functions

Q: Find the curl of the vector field F. F = x³yzi+xyzj+xyz²k curl F = Di+O k

A:

Q: -5 0 2 3 What is the global minimum of the function f(x)= |x - 21 on [-5, 5]?

A:

Q: Find the Maclaurin series of the function f(x) = 8x³ − 9x² - 4x +9. Determine the following…

A: We need to solve Maclaurin series.

Q: (b) xey 4x²

A:

Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the [° √6 +…

A: