is this statement true or false   The probability of any possible value in a discrete in a discrete random probability distribution is always greater than or equal 0 and less than or equal to 1.

Q: 1. For the curve x2y2 = 25 at (-1,-5), find the equation of the normal line.

A: The given curve is: x2y2=25 Differentiating it with respect to x: y22x+x22ydydx=0 at (-1,-5):…

Q: 2n+3 {a,} = 7n- 2 7n+4)

A:

Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: Find the limit. If the limit does not exist, type DNE. lim (1,9) →(-4, -2) 32 – 5zy =

A:

Q: -2

A:

Q: d d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly…

A:

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. Write the given…

A: To find out the value of integral using the midpoint rule.

Q: Find the limit, If it exists. x- 1 lim X---

A:

Q: f (x)= arcsin (x³)+ aretan (4x)

A: derivative

Q: Solve the equation cos? x - cos x = 0 over the interval [0°, 360° ]. solving for cosx, solving for…

A: We will solve for cos x and x.

Q: Use the figure to evaluate the following function, given that f(x) = sin x. (Simplify your answer.…

A: Given diagram,

Q: dy 1- y}

A: Given query is to find the value of the integral.

Q: Jasmine builds tool sheds. She uses 10 sheets of drywall and 15 studs for a small shed and 15 sheets…

A:

Q: find the area of the region bounded by y=(x+2)^2-1, the x-axis, x=-1, and x=2.

A:

Q: Set up and simplify the surface integral ∬S F dS where F(x,y,z) = 2xi + yzj - √y k and S is the part…

A:

Q: A particle moves with its position given by z = cos(t) and y = sin(), where positions are given in…

A:

Q: Step 1 |an + 1 an + 1 n+ 1 1, or lim = 00, then n00 an Sa, diverges. For any fixed value of x such…

A:

Q: 26 State the Fundamental Theorem of Calculus . you must state the first and the second fundamental…

A: On solving this we will get

Q: The three basic trigonometric substitutions are in the table below. Integral Contains Try using…

A: We will solve the integration.

Q: Step 2 Fx) dx = 1 To evaluate f(x) dx, substitute f(x) c In = - Therefore, f(x) dx =

A: We have to evaluate given integral

Q: A line is given by the equation y = x in rectangular coordinates. V3 Which of the following…

A:

Q: Solve the triangle. Round your answer to the nearest tenth. mZA = 37°, a = 28, с 26 mZB 109°, m2C =…

A: Given query is to solve the triangle.

Q: Find the area of the shaded region. x = -y x = 2 – y? -2 A B 10 2. 2. 3.

A:

Q: 3. Write z = 12.2 - 31 in polar form. Use 3 decimal places.

A: The objective of the question is converting to polar form.

Q: Identify the function and interval which does not meet the conditions for applying the Mean Value…

A: We have to solve above question

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A:

Q: 20. The length of a rectangle is increasing at a rate of 5 cm/sec and the width is decreasing at a…

A:

Q: 2. A 15-meter-long ladder is leaning against a wall The bottom of the ladder is pushed horizontally…

A:

Q: (c) Use de Moivre's formula to write down a formula for all o words, give a formula for the complex…

A: answer is in next step

Q: Q3 : prove that : cosh?x + sinh²x =coch2x

A: L.H.S.:=cos h2x +sin h2x=(cos hx)2 +(sin hx)2  =ex+e-x22+ex-e-x22=14(ex+e-x)2+(ex-e-x)2

Q: (4, 4) y= 2x-4 (1,-2) Jsing a horizontal element of area, the area of the shaded region is given by…

A: As required, draw a horizontal stripe as shown:

Q: Co. If FCx)=3x-4,+4+1,finelf(xland f"(x)

A: To find out f'(x) and f"(x).

Q: Express the series using sigma notation. 5 + 8 + 11 + 14 + 17 25(3) n-1 5 23n+2 n-1 23n+2 n-1 C5(3)1…

A:

Q: Find the area of the shaded region. x = -y x = 2 – y? -2 2 10 В

A:

Q: g. f(x) =x' +Vx + h. f(x)=sec(3x)+ tan(5x³)

A:

Q: y = xx, x = 4, and y = 0 ... Revolve the area of the shaded region about the line x = 4. Using…

A: We have to apply circular discover method to solve the problem

Q: The graph given below is graph of f '. Determine where f is increasing, decreasing, concave up,…

A: Let's find.

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Let's find.

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: petdo eidj to noitom paidi b noit t no eog edt bnt Use the limit process to find the area of the…

A:

Q: 12. The demand function for 66 piece Tinkertoy set is D(q) 750 and the supply q+1 function for…

A:

Q: 6. Compute and write the slope of the tangent lines to dx y - xy +6 = 0 at the point (5,2). a. b. 2y…

A:

Q: 1. sin 0 =

A: answer is in next step

Q: If f(x) = (x2 + 5x + 8)*, then f'(x) = f'(5) =

A:

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: 3 lim (1+ 4 x2

A: Given query is to find the limit of the expression m

Q: 10. Write the equation of the ellipse in standard form. Identify the center, vertices, endpoints of…

A:

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x2…

A: Let's find.

Q: 3. If f(x) = [ 8+f dt ,find f'(1). .

A:

Q: Evaluate the definite integral. Use a graphing utility to verify your result. (8t – 1)2 dt 0.

A: