3 S √√2 V 3 2x 2 x-1 -dx

Q: A = (x EZ: xis even} B = (x E Z: xis a prime number} D = (5,7,8,12,13,15) Select the set…

A: Given: To find the set .

Q: Consider the following series. (-3)*¹ ∞0 n=1 Does this series converge or diverge? O diverges…

A:

Q: 4. Use the Rational Zeros Theorem to find all the zeros of P(x) = 2x² +5x³-3x² - 15x-9.

A:

Q: In X x→∞ 1 + ln 3x 10. lim

A: Given that            .Since, we know that

Q: Orthogonal Matrix Determine whether matrix A given below is an orthogonal matrix 0.8 0.6 00 -0.6 0.8…

A:

Q: Use the following function and its graph to answer (a) through (d) below. 6-X, X4. Let f(x)= Ay 10+…

A: if x>4 if x<4

Q: Find the area A that is bounded by the curve r = 4 cos (0) and lies in the sector - < 0 < 4. ㅠ 6

A:

Q: 3. (y) = = y, y 1 2, (2y1,

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

A:

Q: Consider the following graph on the interval -90° < x < 630°: -60 2 60 120 180 240 300 360 420 480…

A:

Q: Find f''(x). f(x)=2x-7

A:

Q: Find the tangential and normal components of the acceleration vector. r(t) = (3t – t³) i + 3t² j O…

A: Take derivative.Find the magnitude.

Q: A company tracking its profits notices that the relationship between the number of items sold, x,…

A: Equation of line:

Q: 1. Martha makes an error converting the complex number -5√3+5i to polar form. Where did she make her…

A: -5 sqrt( 3) + 5iConvert into polar form. Repost the next questions.

Q: Let C be the curve y = 5x³ for 0 ≤ x ≤ 1.2. 8- 7+ 6+ 5 4 3- 2 1 0.5 Q Find the surface area of…

A:

Q: (a) Find another angle between 0° and 360° that has the same cosine as 255º. (That is, find 0…

A:

Q: Solve the following initial value problems. Is the solution that you found unique on some interval?…

A: a) Given differential equation is now solving the differential equation

Q: Define g(6) for the given function so that it is continuous at x = 6. 4x² - 144 4x - 24 g(x) =…

A: given function

Q: c. Find lim f(x) and lim f(x). Select the correct choice below and fill in any answer boxes in your…

A: Given that, the function is             we need to find the limit at x=6.

Q: Mykala has deposited​ $5,000 in a bank for 6 years at the interest rate of​ 5% compounded annually.…

A: To calculate how much money Mykala will receive at the end of six years when she has deposited $5000…

Q: Evaluate the limit analytically (without tables or graphs), using techniques that have been shown to…

A: Limits

Q: Let f(x) = 5x² cos(2x). f'(x) = -10x²(2x) + 10x cos(2x) f'(5) = 0 f"(x) = -10x² sin (2x) + 10x…

A:

Q: Let C be parametrized by x = 3 sin² t and y = 3 sint cost for 0 ≤ t ≤. Find the length L of C. L =

A:

Q: (4) Find the equation of the line that passes through the point (-3,-1) and is (a) parallel (b)…

A:

Q: (x-y)y’=x+y

A:

Q: Find y'. 2 O|N 9 y=x + 2x

A: Given value,     y=

Q: 7. 2 2 lim (√x² + ax - √√x² + bx

A:

Q: Using: lim f(x) = 4 and lim g(x) = 8, evaluate 71 Limit= Enter DNE if the limit does not exist. lim…

A: Limx-7f(x)=4Limx-7g(x)=8Find Limx-7[f(x)+g(x)]/7f(x).

Q: Determine whether the following statement is true or false: The Intermediate Value Theorem…

A:

Q: The point P(1, 1/5) lies on the curve y = x/(4 + x). If Q is the point (x, x/(4 + x)), use a…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 3x + 4y² + 2, (3, 1) Vf(3, 1) = = X

A:

Q: Let f(x) = 2 3 x3 + x2 − 12x + 1. Find the values of x for which the following are satisfied.…

A:

Q: Simplify cosh (4 ln (2x)).

A:

Q: Potassium 40 with a half life of 1.25 billion years has been used by geochronologists trying to sort…

A:

Q: Find the angle between the planes 2x + 10y = 9 and 9x + 10y + 8z = - 8.

A: Find the angle between the planes 2x+10y=9 and 9x+10y+8z=−8

Q: (4) Find the average value of each function on the given interval. (a) f(x) = x(x²+1)7, [0, 1] (b)…

A:

Q: √x-5 x-25 25-r (c) lim

A:

Q: A 500 gallon tank initially contains 200 gallons of water in which 100 pounds of salt have been…

A: We have to find the amount of salt in the tank at the moment when the tank overflows.

Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: Note:-Since you asked multiple questions, according to our policy we can only answer the first…

Q: If a ball is thrown in the air with a velocity 50 ft/s, its height in feet t seconds later is given…

A:

Q: Prove that 52-1 is divisible by 8 for all NEN 1) show for N=1 5263-1-N 52-1-21 =3 2(1) 24 8 8…

A:

Q: Use the graph of h(x) shown below to evaluate lim h(x), if possible. If the limit does not exist,…

A:

Q: 1 2. v = (-9, 2) is transformed using the transformation matrix A = H What is the resulting vector?…

A:

Q: 3 Let f(x)=√x + 27. a. Determine algebraically whether the given function is a one-to-one function.…

A:

Q: Sketch the region enclosed by the given curves. y = cos(x), y = sin(2x), 0 ≤ x ≤ ?

A: y = cos(x),   y = sin(2x)

Q: For the points P₁(-5,3,2) and P2(2,1,0), find the direction of P₁ P2 and the midpoint of line…

A: To find the direction and midpoint.

Q: Find the unit normal vector N to r(t) = (t, cos(t)) at t = 34. (Use symbolic notation and fractions…

A: Find the unit normal vector  to  at .

Q: Suppose $10,000 is invested in an account at an annual interest rate of 0.6%, compounded…

A:

Q: (1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact car averaged $8000. In…

A:

Q: Use the graph of f(x) shown below to determine each of the following limits. If any of the limits do…

A: