Basic Math question and answers for August 11, 2023
- Q Hyperbolas 4(y - 1)^2 - (x + 4)^2 - 36 =0find the x- and y- intercepts. label on graphstate the domain and range
- Q Sketchthegraphofthefunctiony=20x−x2 from x=0 to x=20.• Next, with five equal intervals (i.e. with n = 5), compute thetrape- zoidal, T , and Simpson’s rule S, estimates for thefollowing integral J= integral...
- Q Find the general solution of the equation:y^(6)+y''' = t
- Q what are some differences and similarities between the models inEuclidean, Spherical, and hyperbolic geometries?
- Q We have 600 m 2 of material to make a rectangular shaped cratewithsquare sides and an open top. Find the maximum possible volumeof the crate.
- Q For each problem, find the valuesc that satisfy Rolle'sTheorem5. y=x^2+4x+5 [-3,-1]6. y=x^3-2x^2-x-1 [-1,2]7. -x^3+2x^2+x-6 [-1,2]8. x^3-4x-x+7 [-1,4]
- Q Find the area of the indicated region. We suggest you graph thecurves to check whether one is above the other or whether theycross, and that you use technology to check...
- Q Evaluate the improper integral from 0 to infinity xe^-x
- Q Find a sequence {an} whose first five terms are -2, 8/2, -26/6,80/24, -242/120 …. and find if it was converge or diverge
- Q (1 point) Use Euler'smethod to solvedBdt=0.04Bwith initial value B=1000 when t=0 .A.Δt=1 and 1 step: B(1)≈B. Δt=0.5 and 2 steps: B(1)≈C. Δt=0.25 and 4 steps: B(1)≈D. Suppose B is the...
- Q Find the integrals of the following:1) 6sin2xcos3x dx2) 9xcos2x dx3) 3cos2xtan3x dx4) 7cot5xsin4x dx5) 3tan2xsecx dx
- Q The curves of the quadratic and cubic functions are f(x)=2x-x^2and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d ER, intersect at 2 pointsP and Q. These points are also two points of tangency...
- Q Find the area of the region bounded by the parabolas x = y^2 - 4and x = 2 - y^2the answer is 8 sqrt(3)
- Q 2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 roundedto 2 decimal places.f '(3)=3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).f '(x)=4. Find the derivative of the function f(x)=√x−5/x^4f '(x)=5. Find the derivative...
- Q . Find the general solution to the ODE:x^2 y\" + 5xy' + 3y = x^2
- Q The function P(x)=−1.5x^2+ 900x−4500 gives the profit when xunits of a certain product are sold. Finda) the profit when 75 units are sold  dollarsb) the average profit per unit when 75...
- Q 1. The altitude of a triangle is increasing at a rate of 33centimeters/minute while the area of the triangle is increasing ata rate of 4.54.5 square centimeters/minute. At what rate...
- Q The curves of the quadratic and cubic functions are f(x)=2x-x^2and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d ER, intersect at 2 pointsP and Q. These points are also two points of tangency...
- Q 9. Given the function: f(x)=3x2+5x-17a. find the interval where the function is increasing and whereit is decreasing.b. Clearly state the critical number(s) of the function.c. Find the relative extrema of...
- Q A large tank holds 1000 L of water into which flows a brinesolution with concentration of 1 kg / L at a rate of 6 L / min. Thesolution in...
- Q please explain your choice.A rhombus is NOT a1. polygon2. parallelogram3. trapezoid4. quadrilateral
- Q Find the flux of the vector field F = (3x + 1, 2xe^z , 3y^2 z +z^3 ) across the outward oriented faces of a cube without the frontface at...
- Q Consider the function f(x) =x/x^2+1(a) Find all values ofxfor which f(x) is positive or negative.Discuss the behaviour of f(x) as x gets very large (in both thepositive and negative direction).(b)...
- Q Â How much money will be in a savings accounts after 5 years if $150 is initially deposited in the account, $150 is deposited each month in the account and interest...
- Q Solve for x using the quadratic formula. Be sure to checksolution(s). 2x2-4x +1=0Solve for x using the quadratic formula. Be sure to checksolution(s). 3x2-2x+4=0How many and what type of solutions...
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