1. Using the diagram below, fill in the blanks. B A D G F H E Column A: a) AB+ BC b) FE+FG c) HG+FB d) EF+EH+GC e) AD+DC+CG +GH + HE Column B: 12 1 18 12 12 EC Rectangular prism Your Answers: a) b) c) HC d) e)

Q: Determine the area, in square units, of the region bounded by f(x)=−7x3−4x2+2x−1 and…

A: To find the area bounded first find the intersection of f(x) and g(x)

Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-¹)²

A:

Q: Given an acute angle Cosx=2/7, find the exact value of cos(x/2). (Use a half-angle formula)

A: As we know from the half angle formula; cosx2=±1+cosx2   Given; cosx=27

Q: Consider the function below. (If an answer does not exist, enter DNE.) C(x) = x¹/5(x + 6) (a) Find…

A: Let's solve.

Q: For the function f whose graph is given, state the following. (If the limit is infinite, enter 'co'…

A: Given graph:-

Q: In this exercise, we estimate the rate at which the total personal income is rising in a town in…

A:

Q: 8 Y + 2√² + 2y = 10x + 25

A:

Q: 2) Find the length of the shortest ladder that can pass over a fence 1.8 m high and reach a wall 3 m…

A:

Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = dx -

A:

Q: Transform the given differential equation into an equivalent system of first-order differential…

A:

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of…

A:

Q: Consider the following polynomial function. f(x)=x (x-1)(x + 1)² Answer the questions regarding the…

A:

Q: 3. (3y² + xcos xy) sh a) d) al + (3x2 + ycos xy) = 0 dx y + sen xy + x³ = 0 y2 + sen xy + x³ = 0 y²…

A: The given equation is;  (3y2+xcosxy) dy/dx +(3x2+ycosxy) =0

Q: Effect of Luxury Tax on Consumption Government economists of a developing country determined that…

A:

Q: 3. (3y² + xcos xy) + (3x² + ycos xy) = 0 dx a) y + sen xy + x³ = 0 y² + sen xy + x³ = 0 y² + sen y +…

A:

Q: A utilities company wants to deliver gas from a source S to plant P located across a straight river…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: company determines that its weekly online sales, S(t), in dollars, t weeks after online sales began…

A: We have to find out the weekly average sales amount

Q: Annual sales of bottled water in the U.S. in the period 2000-2010 can be approximated by the…

A:

Q: Prove that sech-¹(x) = In (¹+√¹-x²) X

A:

Q: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure  water is then…

Q: Let f (x) = log (x² - 2x) and g(x) = ²1. Which expression represents (fog)(x)? zlog (2²-27) log…

A: Given query is to find indicated function.

Q: What is the present value of the firm’s revenue stream given that the time path for a firm’s revenue…

A:

Q: 4) The area of the surface generated by revolving x= y²-1, 1≤ y≤ 2 about x-axis is S=...

A: To find the area S of the surface generated by revolving x=y2-1, 1≤y≤2 about the x‐axis.

Q: Consider the function below. ex f(x): 8 + ex (a) Find the vertical asymptote(s). (Enter your answers…

A:

Q: 3x 4) 4. S-001+ 6x dx = 1+e6x a. Diverges b. converges to TL 8 c. converges to It d. converges to TL…

A:

Q: )) 5 = لا 5 1 2X e - ل6 لاو لا -

A:

Q: c. p> 1 7.One of the following sequences is divergent sequences a. 3n² + 2n n5 + 7 n! b.{-1)".…

A:

Q: The population of a certain inner-city area is estimated to be declining according to the model…

A: Here, the given model is for the population of a certain inner-city area after t number of years:…

Q: 33. " +9y sin 2x; y(0) = 1, y' (0) = 0 34. y" + y = cos x; y (0) = 1, y'(0) = -1 35. y" - 2y + 2y =…

A: Given: y(3)-2y''+y'=1+xexAuxilliary equation: m3-2m2+m=0Therefore, m=0,1,1Complimentary…

Q: %VIII. १:०. By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)…

A: The given equation is;  y''+y'=sinx.

Q: foxdx

A:

Q: Fibonacci method can be applied if the function is continuous only. O True O False

A:

Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: Given :a=<2,-4, 5>b=<-1, 0,-3>c=<3,-5,-3>

Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t = 0

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: We know, Average velocity =Total DisplacementTotal time

Q: 2 4. Find the length of arc of the curve x3 + y = 1 in the first quadrant from the point where x =…

A: Let's find arc length of given curve in first quadrant.

Q: Q3. Find the cross product of the vectors and .

A:

Q: Use the table of integrals to evaluate the integral. 6² 3saxav 53x³√4x² - x4 dx

A: To evaluate the integral.

Q: is: The value of the following limit Lim (cos(x))ou(x)

A: The value of the limit is when x tends to 0 for the function (cos(x))cotx

Q: Determine the center and radius of a circle given that its equation is (x + 10)² + (y − 4)² = 4 Use…

A: Explanation of the answer is as follows

Q: R: y = 2x +1,x+y=7,x = 8

A:

Q: The value of the following limit Lim (cos(x)) cou(x) is: A4

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

Q: Find the locations and values of all relative extrema for the function with the graph below. Ay 10 Q…

A:

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9 sec²…

A: This question can be solved using the concept of integration by substitution.

Q: Find the intersection of the line 1₁: x-6 2 || y+2 1 with the plane p: x-6y - 2z - 10 = 0

A:

Q: 1 : In ( + 3) and g(x) = ₂ ² 9 ₁ x-9 Let f(x) = In

A:

Q: Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A:

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A: The given points A(-1,3,7) and B(2,-1,6).

Q: 2. The sum of the roots of the quadratic equation x²-x-6=0 is given by 2 O

A:

Q: Y=t-2√√x + X

A: