Suppose that x = 3 tan 8. Find an expression for cos in terms of x. (Hint: Draw a triangle.) 3 a. 3 √9+x² C. √x²-9 √x²-9 √9+x² b. d. X 3x

Q: his prism has a right triangle for a base. The volume of the prism is 54 cubic units.  Find the…

A:

Q: Answer the question. x2+1, -1sx<0 0<x<1 5x, f(x) = -3, x = 1 -5x + 10 1<x<3 4, 3<x<5 d -6. 6.S... L…

A: Topic:- function and it's continuity

Q: Find dy dx G. y= = 20 In (e 5* +20) b. y = 20x (220x) c. y = €²0x-1 + 20 (n (ex)

A:

Q: A stone is tosse long will it take

A: Please refer to the image below

Q: If the following equality is known to be true: -Ax + B x² - 2x - 3 What are the values of the…

A: see below the answer and calculation

Q: Question 6 Find two numbers whose sum is "a", if the product of one to the square of the other is to…

A: Using algebraic operation

Q: e2-1 Evaluate: limx→0 2x²+x 01 O ∞ 00 O None of the choices 02

A: The given limit is: limx→0e2x-12x2+x   As we know that; The Chain Rule: fgx'=f'gx·g'x

Q: -10 h(x) -8 -6 f(x) x² -4 -9 k(x) x-3 2 10 1 8 00 2 -4 -6- -8- a(r)] 2 y = 2x+ ∞ X

A:

Q: Use trig identities to integrate: sinxsec’xdx

A:

Q: 16. Simplify. 5+ (467)⁰

A:

Q: f(x csc² 6x - x cos 6x)dx

A: Given: I=∫xcsc26x-xcos6xdx   As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx And a).…

Q: 2. The NJHS is holding a fundraiser. They are selling lollipops for $2 each. Each lollipops $0.50,…

A: Topic:- algebra  Note :- as per our guideline if more than one question uploaded than only one…

Q: find maximum and minimum of f(x)= 3x2+15x2-36x+10

A:

Q: Find the volume of the indicated region. the tetrahedron cut off from the first octant by the plane…

A: Let's find volume.

Q: Solve the following integrals: 1. S-7e*dx 2. (2ex - 6x) dx √² (3x) dx 3.

A:

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

A:

Q: a.find the slope of the line tangent to the graph of f at P. b. Determine an equation of the tangent…

A:

Q: Find the area enclosed by the given curves. 1 Find the area of the region in the first quadrant…

A:

Q: What is f'(x) if ef(e) = 1 + x² ? O 2x 1+x² ○ 2x(1+x²) ○ 2x(e¹+x²) 1 1+x²

A:

Q: A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 9 mi from…

A: Concept: We have a boat on the water, and let the closest point on a straight shoreline be x, In…

Q: What is the domain of the function f(x)= |x|? 0 (-∞,∞0) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

A: We need to find domain of given function.

Q: (d) Find the mass of lamina enclosed by y = ax² and y = c if the density of lamina d = xy a-2 c-6…

A: Let's find mass of lamina(m).

Q: Find the Maclaurin series for f(x) = ln(1+r) using the definition of a Maclaurin series. Also, find…

A:

Q: Find the Laplace or Inverse Laplace of the following as indicated 4s+12 1. s²+85+16

A: We have to find inverse Laplace

Q: dy dx If y = (sin x)¹/, then (sin x) ¹/x In(sin x) x² (sin x) ¹/x x - ln(sin x) x² x cotx - In(sin…

A:

Q: Consider the following equation f(x)=x²-2x+2 whose roots we seek with an initial guess of x-4. Fixed…

A: We have to find the correct option.

Q: A tank contains 250 liters of fluid in which 40 grams of salt is dissolved. Pure water is then…

A: Above question is solved.

Q: Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

A:

Q: on Find the absolute minimum and maximum of the function f(x, y) = 2x¹ - xy² + 2y² the region 0≤x≤…

A:

Q: Define the binary operation in the set of rational numbers as: a*b = ab + a-b Which of the following…

A:

Q: The x-component of a force of 50N is 30N, then what will be the y- component of the same applied…

A:

Q: The given rectangle has a perimeter of 120 cm. Find the values of x and y that result in a maximum…

A: Consider the rectangle

Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain…

A: Graph of the function is given, we have to find its asymptotes and domain

Q: 1. If a= (-8,2) and b=(-1.-7) the projection a on to b=....... 2. The angle between vectors A =…

A:

Q: A rate of change of H is given by Solve for k where H> -25. O 0.458 0.346 0.255 0.144 ап = k (25 +…

A: This question can be solved using the concept of differential equation.

Q: x(t) Find the point at which the line y(t) z(t) = 6+t -8 5t intersects the plane. 7 + 2t

A: SOLUTION-

Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

A:

Q: Which of the following statements is (are) true? I. If f is a function from [a, b] to R and F is any…

A:

Q: (2y cos y - x secy-x tan y)dy = (1 + sin y) dx

A:

Q: * Two unlike parallel forces, each of magnitude 50 kN are 200 mm apart from each other. what will be…

A:

Q: The curves 7₁(t) = (– 2t, t³, tº) and 7₂(t) = (sin( – 2t), sin( – 4t), t – π) intersect at the…

A: Here, the given curves are: r→1(t)=-2t,t5,t6 and r2→(t)=sin(-2t),sin(-4t),t-π which intersect at the…

Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

A:

Q: A factory is dumping pollutants into a river at a rate given by dx/dt = t3/4/600 tons per week,…

A: A factory is dumping pollutants into a river at a rate given by dxdt=t34600 tons per week, where t…

Q: Find the difference of place value of 5 in the number 2,53,459??

A:

Q: -0.2 e2x sin(x) dx

A:

Q: Solve for x sin (log2 (13x² + 16x34) = y

A:

Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

A:

Q: 3. Find the intersection of the following planes: ( x - 3y - 2z =- 9 == 2x - 5y + z = 3 3x + 6y + 2z…

A: We have to find the intersection of 3 planes.

Q: 7. Given a = (0, 1, 3), b = (4, 5, 6), then a · b = a. 1 b. 24 8. Given a = (0, 1, 3), b = (4, 5,…

A: Let's solve. Two vector a and B are given.

Q: Q2: Find a general solution of the differential equation (D² + 6D +13)y= 10e³- 16e using the…

A: Concept: The general solution of the given differential equation is given by  y=C.F+P.I Here C.F is…