12- Pind fhe area under the curve Y= q? (b?+1 from X=0 to X =4 A -7 B = -17 17 il

Q: Use a system of linear equations to solve:A rectangular lot whose perimeter is 320 feet is fenced al...

A: Use a system of linear equations to solve: A rectangular lot whose perimeter is 320 feet is fenced a...

Q: 4z +5 Consider the function f(x) Compute each of the following. Simplify your answer and use a - 2 e...

A: The given function is fx=4x+5x-2

Q: Compute the volume of the region bounded by z = 2 - y2, z = y, x = 0, y = 0, and x + y = 1.

A: Given,  volume of the region bounded by z = 2 - y2, z = y, x = 0, y = 0, and x + y = 1.

Q: For what values of p does the Taylor series for ƒ(x) = (1 + x)pcentered at 0 terminate?

A: The Taylor series fx=1+xp with centered at 0.

Q: Use geometry to evaluate the following definiteintegrals, where the graph of ƒ is given.

A: Given:           ∫64f(x) dx            

Q: Find the derivative of the following function: y=x(x2+2)(x3−3).

A: Given function is y=xx2+2x3-3. Power rule of differentiation states that: ddxxn=nxn-1 Product rule o...

Q: The plane y = 1 intersects the surface z = x4 + 6xy - y4 in a certain curve . Find the slope of the ...

A:                                                 Given :Plane y=1 intersects the surface  z=x4+6xy-y4...

Q: Use a graphing utility to graph the function f(x) = lx - 2l. Use the graph to determine whether the ...

A: Use a graphing utility to graph the function f(x) = lx - 2l. Use the graph to determine whether the ...

Q: Solve the equation ln(x - 4) - ln(x + 1) = ln 6.

A: Consider the given: lnx−4−lnx+1=ln6Add ln(x+1) to both sideslnx−4−lnx+1+lnx+1=ln6+lnx+1lnx−4=ln6+lnx...

Q: Find the limit

A: Given: f(x)=5-x, g(x)=x3 To determine: a)limx→1 fxb)limx→4 gxc)limx→1 gfx

Q: A solution of salt flows at a constant rate of 6 L/min into a large tank that initially held 50 L of...

A: We have, dxtdt=0.3 kg/min - 0.12 xt kg/min⇒dxtdt+ 0.12xt=0.3        ...i Calculating for P(t) and Q(...

Q: Evaluate the integral, if it exists.

A: Given: An integral ∫03|x2-4|dx x2-4>0, for x≥2 x2-4<0 for x<2 Thus, ∫03|x2-4|dx=∫02-x2-4dx+...

Q: Rationalize the numerator : [√(x + 7) - √x] / 7

A: The given expression in fraction form is: [√(x + 7) - √x] 7

Q: Graph the solution set of the system 3x + y ≤ 6, 2x - y ≤ -1, x > -2, y < 4 of inequalities or...

A: Given inequalities are 3x+y≤6                                 ……(1)2x-y≤-1                          ...

Q: How do you find the indefinite integral of r(t) = ⟨ƒ(t), g(t), h(t)⟩?

A: Indefinite integral: In component form, the indefinite integral is given by ∫r(t)dt = ∫⟨f(t),g(t),h(...

Q: Another derivative calculation Let g(t) = 1>t 2and compute g′(t)

A: Another derivative calculation Let g(t) = 1-t 2and compute g′(t)

Q: please use graph to help answer 4-7

A:

Q: 5) Let z, and z, be two non real complex cube roots of unity and |z – z| + |z – z3ľ = 1 be the equat...

A:

Q: find the limit or explain why it does not exist

A:

Q: Use reference angles to find the exact value of the expression. Do not use a calculator.

A: We have to find exact value of the expression: sin-35π6 We know that sin-θ=-sin θ Therefore, sin-35π...

Q: Find the volume of the solid enclosed by the cone z = √(x2 + y2) between the planes z = 1 and z = 2.

A:

Q: 1. Assume f(r) is a twice continuously differentiable function on the closed interval (a, b), which ...

A:

Q: A chemist needs to mix a 75% saltwater solution with a 50%saltwater solution to obtain 10 gallons of...

A: One need to convert the given information in system of equations and then solve for the variables.

Q: Find the area of the region bounded by the graphs of the equations.                 y = 2√x − x,    ...

A: Given: The equations, y=2x-x and y=0.

Q: Find/ Determine all real solutions to the following differences: Answer accurately and in the simple...

A: As per our guidelines we are supposed to answer only one question at a time. So upload the other que...

Q: Verify the identity:

A: tan x=sin xcos  x1+tan2x=sec2xsec x=1cos x

Q: Use slope to determine if the line through (-3, -3) and (0, 3) is parallel to the line through (0, 0...

A:  Given:        (−3,−3) and (0,3)  is parallel to the line through (0,0) and (3,6).

Q: For what values of x is the expression sqrt(6x - x2) defined as a real number?

A: It is given that the expression y=6x-x2 It known that square root of anything is greater than or equ...

Q: The U.S. Census Bureau keeps a runningclock totaling the U.S. population. On September 20, 2012, the...

A: Given that The population figure for 8:11 p.m. EST on that day was 314,419,198.

Q: Prove cosh 2 x - sinh 2  x =1

A: To prove  cosh2x-sinh2x=1

Q: 85-88 - Domain of a Composition Find the functions fog and gof and their domains. 85. f(x) = 2", g(x...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Describe one similarity and one difference between the graphs of y2 = 4x and (y - 1)2 = 4(x - 1).

A: Describe one similarity and one difference between the graphs of y2 = 4x and (y - 1)2 = 4(x - 1).

Q: Solve the following equation. Vy + Vy+1 =2 Select the correct choice below and, if necessary, fill i...

A:

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits th...

A: Given: limx→b x3-b3x-b.

Q: Evaluate the integral

A: Given, ∫8x2-25x4dx

Q: Every line in the rectangular coordinate system has an equation that can be expressed in slope-inter...

A: The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its...

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.