f(x) = 4x² x²+49

Q: State the number of complex roots of each equation. Then find the roots and graph the related…

A:

Q: Find an equation of the plane consisting of all points that are equidistant from (4, 0, -2) and (3,…

A: Here is the solution:

Q: 2. A circular walkway is to be built around a monument, with the monument as the center. The…

A: Given Coordinates of the monument (0,0) Distance of any point on inner boundary from the monument is…

Q: 3. EVALUATE EACH OF THE FOLLOWING: A. 23 X (31-4²) =

A:

Q: Suppose that lim f(x) = 13 and lim g(x) = -8. Find the following limits. X-7 X-7 a. lim [f(x)g(x)]…

A: Suppose that limx→7 fx=13, and limx→7 gx=-8. To find the following limits.a limx→7 fxgx b limx→7…

Q: (2a²r²)dr = r³ sin 0 de, when 0 = 0, r = a

A: As we know that; The differential equation Mdr+Ndθ=0 is said to be exact, if ∂M∂θ=∂N∂r. Then the…

Q: Q3/ A: Find General Solutions for the following Differential Equations (Use Differential Operators).…

A: Given D2+1y=X2cos5X

Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

A:

Q: 2x + x x+ 2+ x² + x - 2 uate lim - 2x + [²x] x-2- x² + x - 2 and lim

A: Topic:- limits and continuity

Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Given that A=[4 2 1; 1 5 9; 3 8 7] To find in MatLab: A'=? inv(A)=? size(A)=? A(:,2)=[]

Q: Compare the the planes below to the plane -5x + 5y - 5z = 0. Match the letter corresponding to the…

A:

Q: Q5/ A: Solve the following differential equation by Laplace : dy dx || -6, y(0) = 3

A:

Q: 6S-4 Q4/A: 1- L-1. 52-48+16 B: Fit a second order polynomials to the data in the following: X 5 6 Y…

A:

Q: (D³ – D² – 6D)y = 12x − 2 + 5e³x – 18 sin(3x) - -

A:

Q: following limits, if they exist. lim (x,y) →(0;0) x³ + x²y + 2y³ x² + y² ;

A:

Q: Find the solution of the DE (cos(x) + xcos(t))dt + (sin(t) – tsin(x))dx = 0 a. tcos(x) + xsin(t) = c…

A:

Q: Multivariate Calculus

A: We have to find the region bounded by the curves:x+y=2 ,  x=0 , y=0.Here x+y=2⇒y=2-x⇒y=(2-x)2…

Q: The rate at which the total average number of COVID cases is increasing at x=20 tents and dx/dt=2…

A: The given area is 21,600 square meter. One third of the area will be used to plant mango tree. The…

Q: 2) Suppose that f(x)=x*(1-x) Find the maximizing value of x and what f(x) equals at that x. b) How…

A:

Q: The half-life of freshly-baked brownies at your house is 18 hours. If 200 brownies were present…

A:

Q: sin cos 0 cos sin

A:

Q: Slope of tangent line F(x)= 3x+8

A:

Q: 7. y = tan (In(5x))

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Q2/ A: Find the Fourier Series of the function : f(x) = X + n if - < X < π and f(x+2n) = f(x)

A:

Q: Find slope of tangent line F(x)= 3x^2+5x-2

A:

Q: When purchasing a heat pump unit, an installer is given discounts of 12%and 2%. The unit is priced…

A: Given, Marked price (MP) of heat pump =$3400 Discounts 12% and 2%

Q: Find the limit of the following:  a) lim x→∞ (1 - x2 / x3 - x + 1) b) lim x→∞ (x - x√x / 2x3/2 +…

A:

Q: Use the intermediate value theorem to show that there is a root of the given equation in the…

A: Given function :  (a) x3=1−x So, f(x)=1−x−x3  on  (0,1)

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 and lim x-2- 2x + [2- X x² + x - 2

A: Given :limx→-2+2x+2-xx2+x-2

Q: Find the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² The…

A:

Q: 3. By y = definition, find the derivative 2x 3x + 4

A:

Q: express each common fraction as a decimalfraction. Round to four decimal places when needed. 3⁄20

A: Given expression, 320

Q: If f(x)=x² - 6x — 7 and g(x) = x+1, - find f(x) g(x)

A:

Q: For any given base, what does 100 represent? a) The base squared -1 b) The base squared c) The base…

A:

Q: B: Evaluate the following: 2- 6 I (5.66) 5r (0.66)

A: Given 6Γ5.665Γ0.66

Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Since, you have posted a question with multiple sub-parts, as per company policy we will solve first…

Q: 1. S. dx 1 2 x² e² ex

A:

Q: y' + y² sin x = 0 Ans: y + cos x = c

A:

Q: 3 5 -2 4

A: We can find the answer in the below steps.

Q: 24x√2x + 11 dx Of³, 4u √u du -2 (u-11) √u du S27 (u-11) √u du ₁4(u-11) √u du

A: To find out the correct substitution.

Q: The body mass of a certain type of sheep can be estimated by M(t) = 26.4+0.4t-0.00112 where M(t) is…

A: Given: m(t) = 26.4+0.4t - 0.001t2 where M(t) is measured in kilograms and t is days since May 25.…

Q: 1 ƒ(4 + h) − ƒ(4) - X h (Express numbers in exact form. Use symbolic notation and fractions where…

A:

Q: lim 8个8 5x 2x² +9

A: To find the limit of given function.

Q: Decide if each set of inequalities provides sufficient information to determine lim f(x), and if it…

A:

Q: Let g(x, y) = x² + y² x² + 1 (a) Sketch the level curves of g at levels k - 1,2 on a common…

A:

Q: Evaluate lim X→-2 x²-x-6 x-2

A: We can find the limit of the function.

Q: Graph of f MA

A:

Q: For f(x) = √ (x^2 − 1) and g(x) = √( x − 3), determine the subset of the domain of g on which the…

A: For fx=x2-1 and gx=x-3, to determine the subset of the domain of g on which the composition f∘g is…

Q: If f(x) 2 x2 find f'(5).

A:

Q: Find the degree of the following differential equations: a. y'" - 2(y")³ = (y')² + 3y b. √√y²-(y')³…

A: