Given points A(-1, 3, 4), B(3, -1, 1) and C(5, 1, 1): a. Verify that triangle AABC is a right-angled triangle. b. Determine the measure of one of the acute angles (in degrees) of triangle A ABC. Round your answer to 1 decimal place.

Q: #4

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the value of f'(0) when f(2)=4 1/² +

A:

Q: How do you find the critcial point and absolute minimum?

A:

Q: 5. g(x) = x² - 1 and n(x) x² + 2x +1 IV. Find the product of all given functions. 1. 2. x=3 x²-x-6…

A: Note: As  per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

A: limx→∞3-ex3+7ex=limx→∞ex3ex-1ex3ex+7                       =limx→∞3ex-13ex+7 On applying the limit…

Q: If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 m/s, its…

A: We have to slove above question

Q: Find the volume of the region bounded above by the paraboloid z=x² + y² and below by the triangle…

A:

Q: Find an explicit particular solution of the following initial value problem. dy 3x - 4y₁ y(0) = 0 =…

A: Given initial value problem is                          dydx=5e3x-4y       y(0) =0 Rewrite the…

Q: Answer as directed. Show complete and neat solution. 1. Using the definition of derivative, find the…

A: Note:- Since you asked multiple questions as per our policy we can solve first question for you…

Q: Differentiate. y et 8 - ex

A: Here, we need to differentiate the given expression. So,              y'=ex8-ex' Apply the Quotient…

Q: f'(x) when ƒ(x) = x² − ln (6+x²). 1. f'(x) 2. f'(x) 3. f'(x) =

A: Given query is to find indicated derivative.

Q: Given the following table, give the best estimate for f'(3) X f(x) 0 34 3 41 6 54 The estimate is If…

A:

Q: Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The…

A:

Q: 6 5- cos²2y.siny dy

A:

Q: Check whether each of the following functions is a solution of the differential equation 3y + 5y =…

A: Follow the procedure given below.

Q: Which of the following functions satisfies Laplace's equation? (a) f(x,y,z)= e sin y (b) f(x,y,z) =…

A:

Q: neeeed helppp on question B

A: Topic:- calculus

Q: owing identities cou

A:

Q: (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) π 3π 2'…

A: The given function is: fx=9 cos2x-18 sinx,  0≤x≤2π

Q: [ (x³ + x) √ x² + 1) dx

A:

Q: Find f'(x) and f"(x). f(x) = √xex

A:

Q: Find the area of the inner loop of the limacon with polar equation r = 15 cos 0 - 10 Answer: %₁ 0₁ =…

A:

Q: Find the general solution of the given differential equation. Assume x and y are positive. dy dx =…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the values of x₁ and x2 where the following two constraints intersect. (Round your answers to 3…

A: Given Inequlities,10x1 + 5x2 ≥ 50,1x1 + 2x2 ≥12

Q: 1) Use the limit definition of derivative f'(a) = lim h-0 f(a+h)-f(a) h to find the equation of the…

A:

Q: 3. Let f(x) = ={ and x² if 0≤x≤ 1 √2x-x² if 1<x<2 A graph of y = f(x) is shown in the figure. (a)…

A:

Q: Use the graph of g in the figure to do the following. a. Find the values of x in (-2,6) at which g…

A: We have to find at which points function is discontinuous and not differentiable.

Q: = 4x2 + 7xy +

A:

Q: Q. N, 1: Given the two points A(-2,-4)and B(4,6). Find: - 1- the equation of the straight line…

A:

Q: QUESTION 1 Find the equation of a circle x² + y² +2gx +2fy+c=0 which passes through points A(1,1),…

A:

Q: · g(x) = (x² + 1)³ (x² +2)6

A: To find the derivative of given function

Q: Let F(x) = f(x) and G(x) = (f(x))º. You also know that a³ = 2, f(a) = 2, f'(a) = 5, and f'(aº) = 9.…

A:

Q: Find all points on the graph of the function f(x) = 2 sin(x) + sin²(x) at which the tangent line is…

A:

Q: First order partial derivatives of a function of several variables Task: Find the value of the…

A:

Q: QUESTION 1 If F(S) is the Laplace transform of f(t) = cos² (3t+ O 0.56543333333333334…

A:

Q: 1. Estimate the velocity (dx/dt) of the jet fighter 2. Estimate the acceleration (d2x/dt2) of the…

A: Given: A table of a position function is given:  t (s) 0 0.52 1.04 1.75 2.37 3.25 3.83 x (m)…

Q: Calculus is a powerful tool used in all areas of physics. One of the initial applications areas is…

A:

Q: Evaluate / xdA where R is the rectangle: −1≤ x ≤ 3, 2≤y≤5. -1 A. 3 B. 6 C. 10 D. 12 E. 15

A: Given that ∬RxdA , where R is the rectangle: -1≤x≤3,2≤y≤5

Q: cant even see the answers its cu

A: we can solve the given questions .

Q: For a particular chemical reaction the rate (g/hr) at which one of the reactants changes is…

A:

Q: t The Unzen Volcano in Japan has a magma reservoir located 15 kilometers below the Chijiwa Bay,…

A: We have to slove above question

Q: The solution to the differential equation ydx+(2x-3y)dy=0 is b. x²(y-x)=c d. y²(y+x)=c a. x²(x−y)=c…

A:

Q: O K Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar…

A:

Q: f) d e³t+5 dt 2t-1

A: The given derivative ddte3t+52t-1. We have to find the given derivative.

Q: 31 ₁ = 2(cos + i sin +isin 72 Si 5 37% 30 = 4(cos de 37 H 30

A:

Q: 2. (a) Sketch the graph of y = f'(x) given the graph of y = f(x). (b) Specify the domain and range…

A: Graph

Q: How do you find the absolute minimum

A:

Q: Consider the function f(x) = 12x5 + 15x¹ − 240x³ + 3. ƒ(x) has inflection values at (reading from…

A: f(x)=12x5+15x4-240x3+3for inflection points put f''(x)=0d dx(xn)=nxn-1if f''(x)&gt;0, than concave…

Q: dy dx dy dx dy dar || √x² +6 2 x² +6 2 1 2 √x² +6 6x - 6 x(x+6) √x²+6 3 x(x+6) 3 (x²+6) ²

A: The 2nd step is wrong in this question.

Q: Solve the given differential equation. All solutions should be found. 3x² - 7y-y³ 7x + 3xy² dy dx =…

A: