Write an equation for the parabola whose graph is given below. Enter your answer in general form. Provide your answer below: V 7654321 ITTTTT 6 5 4 3 2 1 -7-6-5-4-3-2-11 1 2 3 4 5 6 7 -2 3 -4 -5 567 -6⁰ -71

Q: Uranium-238 (U-238) has a half-life of 4.5 billion years Geologists find a rock containing a mixture…

A: Half life = 4.5 billion years N(t)=0.77* N0t= ?t12=4.5 billion years

Q: Let P = 1x, y2 be a point on the graph of y = x2 - 8.(a) Express the distance d from P to the point…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: -6 (-3,1) -5 86°F Sunny I 1 -4/ -3 -2 1 / -1 4 3 2 - 0 -1 -2 -3 -4 -5 -6 2 W Use the graph to…

A: Given query is to find the slope of the tangent line.

Q: compute the acute angle formed by the asymptotes of the hyperbola x^2-3y^2-8x=14

A: Explanation of the answer is as follows

Q: PZ π/2 4 2 1 79 -3 -4 The graph of the function f(x) = tan x is given above for the interval a € [0,…

A: Given query is to find indicated limits and vertical asymptotes.

Q: A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people…

A: Given: n = 13 r = 6 Formula Used: Number of ways  Crn = n!r!(n-r)!

Q: If f (x) = x2 - 2x, find f (a + 1) and f (a + 2).

A: Given fucnction, fx=x2-2x

Q: Evaluate the limit lim x →∞ 5x² + 3x 7x4 + 2x² + 10

A:

Q: write law of cosines.

A: Cosine rule:- The Cosine Rule says that the square of the length of any side of a given triangle is…

Q: (a) J x² dx 3x + 2 x + 7 (b) 6) [ √2+1 da dx

A: Since multiple questions are asked, I am answering first question

Q: The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the…

A:

Q: Graph the function and observe where it is discontinuous. f(x, y) = e¹/(x - y) f is discontinuous at…

A: The given function is fx,y=e1x-y The graph of the function is as follows.

Q: Find a unit vector in the direction in which f(x, y, z) = Z increases most rapidly at P(1, 2, −2),…

A: The function is given by fx, y, z = xz+zy2 The point coordinates of point P is 1,2,-2 To evaluate:…

Q: Graph the functions in Exercises .37. y = sqrt(x + 4)         38. y = sqrt(9 - x)

A: Given data:- 37. y=sqrt(x + 4) 38. y=sqrt(9-x)

Q: Select all of the following graphs which are one-to-one functions. 0 0 Ay 1-4 -3 A -2 -3 -5 -4 -3 -2…

A:

Q: A baseball diamond is in the shape of a square with 50 ft sides. How far is it from home plate to…

A: A baseball diamond is in the shape of as quare with 50 ft sides. To determine how far is it from…

Q: Use limits involving to to describe the asymptotic behavior of the function from its graph. (If an…

A: From graph f(x) goes towards 1 at left end of graph

Q: You want to make an 80° angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

A: Given data:- The given angle is, θ=80° The given diameter is, d=12 in So, the radius is, r=6 in.

Q: 6 5 4 3 2 I 1 it y = f(x) X

A:

Q: Find the directional derivative off at P in the direction of a. ƒ(x, y) = 5x²y³; P(2, 2); a = 3 i −…

A: This question can be solved using the concept of partial derivatives and vectors.

Q: Evaluate S9 cos √2x dx using a substitution followed by integration by parts.

A:

Q: Find the derivative of the

A: We will find the required  derivative of given function.

Q: These are the following jokes about books:. “Outside of a dog, a book is man’s best friend. Inside…

A: Given data There are six books about six

Q: Sketch the region bounded by the curve x² - 2 = y and the line x = y + 2 and find the volume of the…

A:

Q: Write a word problem that can be solved by evaluating 7P3.

A: Given: 7P3. Formula Used: Prn = n!(n-r)!

Q: State whether the equation is ordinary or partial, linear or non-linear, and give its order and…

A:

Q: Use the formula for nCr to evaluate the expression 7C7.

A: Given: The given expression: 7C7. Formula Used: Crn = n!r!(n-1)!

Q: What is the slope of the tangent line to the curve y^2-2x^2=6-2xy at the point (2,3) ?

A:

Q: theater finds that there is a correlation between the number of ice cream flavors offered at its…

A:

Q: Evaluate the limit 16x √x lim x 16 4 Number

A:

Q: Use the formula for nPr to evaluate the expression 8P0.

A: Given: The given expression is:  8P0 Formula Used: Prn = n!(n-r)!

Q: 2. y=x+c₁e* + C₂е¯x

A: Given :y=x+c1ex+c2e-x

Q: If y=f(x)=7e^x + 3x^4 - 20x - 5 , Find the x-intercept of the tangent line at x = 0 to the graph of…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Given f(x) = 4x¹n (x) " f'(9) _ answer the following:

A:

Q: Determine the slope and y-intercept of the graph of 3x - 5y = 30.

A: The given equation: 3x - 5y = 30 To determine: The slope and the y-intercept of the given equation.

Q: Use the disk method to find the volume of the solid obtained by rotating the region bounded by x = 1…

A:

Q: Integrate. S2x² sin (12x) dx = +C

A: Given query is to find the integral.

Q: The domain of f(x) is all real numbers except x - 3 x + 5 f(x) = Blank 1:

A: The objective of the question is determine the domain of the given function.

Q: Consider the following limit statement: lim (9x-3) 15 x → 2 Find the corresponding value of 6 when &…

A: givenlimx→39x-3=15

Q: Determine the solution of the differential equation: (3tanx-2cosy)sec²x dx + tan x siny dy = 0

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Write the function whose graph is the graph of y = x2 , but is shifted left four units and down 2…

A: The original function: y=x2 To write a function whose graph is the graph of original function but…

Q: For the equation 3x2 - 4y = 12, find the intercepts andcheck for symmetry.

A: Given data:- The given equation,   3x2-4y=12

Q: 0 PERTA C 2000 A television camera at ground level is 2000 feet away from the launchin to take off…

A: Let distance between camera and rocket =s ft

Q: Use the formula for nCr to evaluate the expression 11C4.

A: Given data:- Here, n=11, r=4 Use formula:- Crn=n!r!(n-r)!

Q: Find the directional derivative of f(x, y, z) = yz + x¹, at (3, 2, 1) in the direction of = + + k 7…

A: Given Find gradient

Q: Solve by the method of your choice:Using 15 flavors of ice cream, how many cones with three…

A: Given: n = 15 r = 3 Formula Used: Prn = n!(n-r)!

Q: Homework 3.2 For #1-6, differentiate. 1.y = xe* ex 2. y = ² x+2 3. f(x) = 3x+2 x²+5 x²-4 4.…

A: We can find the derivative of the given functions by using the following formulas.

Q: The total cost in dollars of producing x lawn mowers is given by C(x) = 4,000 + 90x - x2/3 . Find…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is the average…

Q: Use synthetic division to determine if the given value for k is a zero of this polynomial. If not,…

A:

Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

A: