Use the cross product to determine the angle between the vectors [4, 5, 2] and= [-2, 6, 1]. Verify 9 h using the dot product.

Q: Does this solution apply to this diagram that I have drawn?

A: It is given that,there are 600m of fencing to make a sheep pen.The pen will be in the shape of a…

Q: (3) (3) 5. Simplify f(x) = 3 + i (a) f(x) = g(x) and g(x) = -5 +i (b) F(x) • 9 (X) (3+1)(-5+1)

A:

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A:

Q: Evaluate the definite integral Select one: a. 5 O b. 0 o c. 2 O d. 6 O e. 1 sin³t cost dt.

A:

Q: Find limit x by drawing only

A:

Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

A: A cardiac monitor is used to measure the heart rate of a patient after surgery.It compiles the…

Q: ow did the integr

A: There is not only  but also an  which multiplied to get .

Q: A gasoline-powered lawn mower produces a sound of 98 decibels. An electric lawn mower produces a…

A:

Q: Let a = (-5,3,-2) and b=(4,-4, k). Find & so that a and b will be orthogonal. k =

A: The objective of the question is to find the value of 'k' such that the vectors 'a' and 'b' are…

Q: The function f is defined by f(x) = -x³- 4x + 5 and the point (-1, 10) is on the graph of f. If g is…

A:

Q: need help

A: The objective of the question is to find the set of numbers x that satisfy the condition |8x − 4| ≤…

Q: The table below gives the annual sales (in millions) of a product. year 1998 1999 2000 2001 2002…

A: The table below gives the annual sales (in millions) of a product.To find the average rate of change…

Q: Which of the lines in the following graph appear to be tangent lines? Why or why not? Q LA [x^^^ L6…

A:

Q: Find the indefinite integral. 6(x- 9)³dx

A: Given Indefinite integral

Q: SOLVE THE FOLLOWING PROBLEMS AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR ANSWERS FOR BETTER…

A: Let the present number of bacteria at time t is Given that the population of bacteria in a culture…

Q: The half life of polonium is 139 days, but your sample will not be useful to you after 93% of the…

A: The formula for amount of polonium-210 in the sample after t days Decay rate Initial amountAmount of…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Note:-Since you asked multiple questions both are not interlinked. According to our policy we can…

Q: A graph of y = f(x) is shown and a c-value is given. Use the graph to find the following, whenever…

A: The objective of this question is to understand the concept of limits in calculus and how to…

Q: 3 lim 1- x →0 ४/ कर 2

A:

Q: 2 (q + 12)4 S bp.

A: integral

Q: Is the function shown continuous over the interval (- 5,5)? О Ay 5- 00 No Yes

A:

Q: The production function of a firm is Q(x, y) = x+y, where x and y are the quantities employed of…

A: The objective of the question is to find the optimal quantities of productive factors x and y that…

Q: Calculus I May I please have the solution for the following question? Thank you

A: The objective of this question is to find the area of the region enclosed by the parabola y=1+x²,…

Q: Let C be the positively oriented square with vertices (0, 0), (1, 0), (1, 1), (0, 1). Use Green's…

A:

Q: In a new suburb, it is estimated that the number of registered voters 3. will change according to 3b…

A:

Q: Determine the infinite limit. 8 0-00 9 lim X→ (π/2) + X sec(x)

A:

Q: If y= 8 find y' (4).

A: Given that the expression

Q: 3. Find the set of all points (x, y, z) that are twice as far from (3, 2,0) as from (3,2, 6).

A: Suppose the set has a point   Plug into the distance formula:   and   is and   is

Q: Let U = {0,1,2,3,4,5,6,7,8,9,10}; A down the elements in the following sets. (a) AUB (b) BUC (c) BC…

A: Let .To write the down the elements  in the following sets.Note: Since, the student has posted a…

Q: The exponential models describe the population of the indicated country, A, in millions, t years…

A: The exponential models describe the population of the indicated country, , in millions,  years after…

Q: Find the zeros of the function f(x) = x² – 1. (Use symbolic notation and fractions where needed.…

A: The objective of this question is to find the zeros of the function f(x) = x^2 - 1. The zeros of a…

Q: In Exercises 41-56, use the circle shown in the rectangular coordinate system to draw each angle in…

A: (50)The given angle is .The aim is to sketch the angle in a standard position.

Q: Complete the description of the piecewise function graphed below. Sto { f(x) = { 5 -6-5-4-3-2-1 { 3…

A:

Q: Suppose that the​ cost, p, of shipping a​ 3-pound parcel depends on the distance​ shipped, x,…

A:

Q: Find the first and second derivatives of the function. f(x) = 3x - 4x9/10

A:

Q: An individual retirement account (IRA) has 24,000 in it, and the owner decides not to add any more…

A:

Q: 1. ('88 BC) The length of the curve y = x³ from x = 0 to x=2 is given by 2 2 A) [√₁ + x ²dx (B) √ √…

A: Given,.Formula for length of the curve is,

Q: Find the value of the determinant D given by: a 6 3 d -4 D = c 6 9 9 where a = 2, b = 5, c = 12, d =…

A: The given determinant is

Q: Question Let f be the function defined by f(x) = ln(x2 + 1), and let g be the function defined…

A: The objective of this question is to find the value of 'a' such that the tangent line to the graph…

Q: Find the divergence of the field. F = 3ye5xyzi + 3ze5xyzj +3ye5xyzk

A:

Q: Determine for the three vectors: x = ai+bj+ck, y = 2i+k and z = di+ej+fk where a = 2, b = -3, c = 3,…

A:

Q: Find the derivative f'(x) for each function given below a) f(x) = (1 + e*) (1-e*) b) f(x) = ™Y²x inx…

A:

Q: Find the center and radius of the sphere with the equation (x+1)^2 + (y+2)^2 + (z-3)^2 =4. Center =…

A: The objective of this question is to find the center and radius of a sphere given its equation in…

Q: Find the exact solution(s) to the following equation. log(x+2)+log(x-2)=3

A:

Q: Graph the line that goes through the point (-6, -4) with slope of 1. 10+ 8 6 4 2 10 -8 -6 -4 -2 -2…

A:

Q: Given the point (9, 3) is on the graph of f(x)=√x, what would the point Become on the graph of…

A:

Q: Find the length of the curve x= تی را The length of the curve x = 11 + on 3 ≤ y ≤ 5. 33 4y y³ 11 +…

A:

Q: Evaluate the limit using the appropriate properties of limits. (If the limit is infinite, enter wor,…

A:

Q: 4. Use the table to find the derivative for h(x) = f(g(x)), when x = 3. g(x) 8 11 X 3 8 f(x) 4 5…

A:

Q: Solve the differential equation. dy dx = 10ex-y Choose the correct answer below. O A. y = 10 In x +C…

A: Given Differential Equation is as follows