Explain why S is not a basis for R². S = {(-6, 2)} OS is linearly dependent. S does not span R². OS is linearly dependent and does not span R².

Q: Graph the function. g(x) = 8 x²-16 Plot at least two points to the left and right of each vertical…

A:

Q: 4. -π/4 1 9cos² x-sin²x dx

A:

Q: Determine the length of the parametric curve given by ㅠ = cost, 0≤t t≤ 2. X = sin³ t, y

A: To determine the length of the parametric curve given by x=sin3 t, y=cos3 t, 0≤t≤π2.

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: Given the function f(r) = (r - 1)(r + 2)(r6) its f-intercept is ( its r-intercepts are Invalid…

A: Here we will find the f(r) intercept and r-intercepts,

Q: Use the method of variation of parameters to determine the general solution of the given…

A:

Q: (x + y \(xdy+ ydx)– xy(xdx+ydy)=( +y²

A:

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution sets in interval notation…

A:

Q: A window has perimeter 10 m and is in the shape of a rectangle with the top edge replaced by a…

A:

Q: Find the general solution of the differential equation. y(5) — 11y(4) + 29y"″ − 11y" + 28y' = 0.…

A: Let's solve given diffrential equation.

Q: 1. The point (-2, 5) lies on the circle whose center is at (-1,-3). Write the standard form of the…

A:

Q: Complete detailed solution. What is the equation of the tangent line at x=1of f(x)=1-2x

A:

Q: Find the accumulated present value of an investment over a 8 year period if there is a continuous…

A: We have to find the accumulated present value of an investment.

Q: Consider the following table of values of the functions f and g and their derivatives at various…

A: Aim: Dxf(g(2)) We know that,…

Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (10x + 4) = 44…

A: We have to solve the above problem of limit.

Q: We are trying to prove the following limit. Suppose that we have found a value of such that e =…

A: Given: limx→7 (2x-7)=7

Q: The velocity of a particle moving along a line is a function of time given by v(t) = = the distance…

A:

Q: 12. Determine the radius and interval of convergence of 8 k=1 (-1)kk²(x-4) k 3k

A:

Q: a. Which of the following are functions? Justify your answer. f(x) 5+ 4- 3- -4-3-2-1 O -2- -3+ -4-…

A: Let's find function or not.

Q: ۱۰۱۱ A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

A:

Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ 0 <…

A:

Q: K If f(x) = x² + 7x and g(x) Answer = 51 find g(f(n)). g(f(n)) IL

A:

Q: where do these (encircled in red) come from?

A: I am attaching image so that you understand each and every step. Please take exact value then we get…

Q: ГО Г0 1 3 2 -а 1 2 123 b 1 3 1 0 1 0 0 3. C Ld. 324 [5]

A: 0132212313101003abcd = 3245 from this find a,b,c,d using gauss elimination method using this method…

Q: (b) ſ sin³(x) -dr cos (1)

A: Let's solve given integration.

Q: The Cartesian coordinates of a point are given. (a) (-2, 2)

A:

Q: Evaluate the integral: 3 X sin ³ COS 3 3 X col 3

A: Solved below.

Q: For the function 1 - 3x x² + 2 find the values of the following limits: f(x) = lim f(x)= [Select]…

A:

Q: (c) sin(3x) sin(x)dx

A: Evaluate :   ∫sin(3x)sin(x) dx

Q: 8. Find the local maximum and minimum values and saddle points of the function f(x,y)=2x + 4y +3x²…

A: This is a problem related to maxima and minima. Please follow the procedure given below.

Q: A circular plate with radius 9 m is submerged vertically in water as shown. Express the hydrostatic…

A:

Q: A machinist is required to manufacture a circular metal disk with area 807 cm². Give your answers in…

A:

Q: If f(x)=√x + 10 and g(x) = 6 f(x) find g(x) F

A: To find out fxgx

Q: the limit 25 - x 5-√√x Evaluate lim x 25 →

A:

Q: What is the average rate of change of f(x) from x₁ = 3.8 to 2 = 7.2? Please write your answe rounded…

A:

Q: 20. Find the area of the region outside the circle r = 3 and inside the circle r = 6 cos 0. -2 0 -2-

A: Given curves are r=3 and r = 6cosθ  At the point of intersection , we have…

Q: Graph the function. Plot at least 4 points. For vertical asymptotes, make sure there are at least…

A:

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Solution is given below:

Q: Find the general solution of the differential equation y(4) - 4y" = t² + et.

A: Given :y4-4y''=t2+et

Q: Find the domain of the following rational function. 20x² H(x)= + X O A. x² +2 Select the correct…

A:

Q: Find the first five terms of the given recursively defined sequence. 2an - 1 + 6 and a₁ = 2 n- a₁ a2…

A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

Q: A woman is on a lake in a rowboat located 1 mi from the closest point P of a straight shoreline (see…

A:

Q: g(x) 8. Assume that f(x) and table. Use the following table to calculate the following derivative. 1…

A:

Q: 1. Use the substitution method to evaluate S₁² VAZ ²³ + 50 dx

A:

Q: Differentiate implicitly to find the first partial derivatives of z. 5x² + 11y² + 7z² = 4 (No…

A:

Q: Find the absolute maximum and minimum values of the function, subject to the given constraints.…

A:

Q: H.W Graph the functions: ا رسم الدوال 1- y = Sin = X 2- y = 3 tanX 3- y = 3 + Sinx 4- y = cot 3 X 5…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Σ k=1 (k!)² 5(2k)! Select the correct choice below and fill in the answer box to complete your c…

A: We need to find out that the given series converges or diverges by using the ratio test.

Q: if f(4)=2 and f'(4)=2/5, use the formula (f-1)'(x)=1/(f'(f-1(x))) to find (f-1)'(2)

A: If f is an invertible function and if f(a)=b, then f-1(b)=a.

Q: sin x +∞0 Σ n=0 (-1)" (2n + 1)! px?nts] for all x € R

A: Ans: 0.099999983 Solution is attached below.