vertex of parabola : (-2,1)= (h,k) x=a(y-k)²+h ✓ (-1.5, -2.3) (j,4.2)

Q: x²-9 2 lim x 3 x 3

A: The given limit is limx→3x2-9x-3

Q: Which integral would represent the area shown? The function is f(x) = −(x − 1)³ + 2. 5 4 3- 21 1 2 3…

A:

Q: Find the exact value by using a half-angle identity. sin 75° ① 专业 這次難 這次的

A: We will solve the required.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: If f(x) = e³x e³x, which equation describes the average value of f(x) over the interval [0, 3]? 1 3…

A: Solve the following

Q: Find the area under the graph of y = -x² AL 54 3-2 -11° 1 2 3 4 5 X 4x on the interval [-4, -2].

A: We will solve the required.

Q: Answer true or false. The function f(t) = (e) 10 is of exponential order. O True O False

A: The objective of the question is checking the given function is exponential order or not .

Q: Find the total area enclosed between y = x³ and y = x over the interval [-1,9]. NOTE: Enter the…

A:

Q: Consider the following. (The graph is called a serpentine.) (-4,-16) Find the derivative of the…

A:

Q: 67. A cookie has been made in a room with an ambient temperature of 100°F. If it was cooked in an…

A: This question is related to Newton's Law of cooling, we will solve it using given information.

Q: Identify the quadrant for the angle 0 satisfying the following conditions. sin 0 0 and cos 0 <0

A:

Q: Find the area of the region enclosed by the graphs of x + y = 7 and √x + √√y = √7. (Use symbolic…

A: This question is based on application of integration.

Q: Given the initial condition y(0) = 1, find the particular solution of the equation yy' - 6x = 0

A:

Q: Find the exact value of COS 2x given that sin x III. 3 and is in quadrant

A:

Q: The base of a three-dimensional figure is bound by the graph y = sin(x) + 1. Vertical cross-sections…

A: Given the base of 3-D figure is found by y = sin(x) + 1. The cross sections are vertical and…

Q: Give the rectangular coordinates for the point. (-10, 225°)

A:

Q: Which recursive sequence would produce the sequence 7, 33, 137, ...? a1 Ο αι Ο αι = a1 :7 and an = 7…

A:

Q: 3. What is the form of y, given (D² +9)y = cos3x Asinx + Bcosx Asin3x + Bcos3x A. Yp B. Yp C. D. Yp…

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: A region bounded byf (x) = y = 0, x = 1, and x = 3 is shown below. " X Find the volume of the solid…

A:

Q: -1 'Cos'¹x { √(1-x²) } ]¹_dx og. { 1 + (sin (2x√(1-x²))} TT

A: Given data:- ∫cos-1x1-x2-1loge1+sin2x1-x2πdx

Q: What is the total change of f(x), if f'(x) = 4x² + 6, over the interval [-1, 2]? -18 ထို့ကြ ကြ O O…

A:

Q: Find the sum of the first 6 terms of the following sequence. Round to the nearest hundredth if…

A: Our Aim is to find the sum of the first 6 terms of the following sequence givenbelow:-8, 4,…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin(2x) cos(2x) dx

A:

Q: The base of a three-dimensional figure is bound by the line y = -2x + 5 on the interval [-1, 2].…

A:

Q: 16. I. g has a jump essential discontinuity at z = 1. II. g has an infinite essential discontinuity…

A: We need to determine discontinuity.

Q: Evaluate the determinant of the given matrix. det(A) = A² + 3x + 12 A²+ 3A - 10 x² + 3x + 2 A²+ 3A -…

A:

Q: Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in…

A:

Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: Find the volume of the solid that results when the region enclosed by y = e²x, y=0, x=0, x= ln 5, is…

A:

Q: Simplify the expression: (1 + cos a)(1 — cos(-a)) O sin² a 2 cos a 1 + 2 cos a + sin² a sin a

A: We have to solve the expression

Q: Find the area of the region enclosed by the graphs of y = 8 − 3x, y = 6 − x, and y = 1. (Use…

A:

Q: Two 766 newtons. Find the angle 136.3° 163.4° 13.1°

A: topic:- vector algebra

Q: Express the distance d from P to the point (4,0) as a function of x. Use a graphing utility to graph…

A:

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,…

A: We have to find the 46th term of given sequence.

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

A:

Q: What is the total change O -1

A: topic:- function

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

A: Given that                                  F→ = ∇x2+y2  we can written this asF → =…

Q: 016 a) | b) | c) | 3+2 dt dr cos² √5+tan z dt (3-5t)²

A:

Q: Find the derivative h(x) = h'(x) = of the transcendental function. 14 sec x

A: The given function hx=5x-14sec x we have to find the derivative of h(x)

Q: (x-4) dx 2 x²+x-6

A: We can evaluate the given integral by using the partial fraction method.

Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

A: Recall: log ab=b log a log(ab)=log a+log b

Q: Find the sum of the first 6 terms of the following sequence. Round to the nearest hundredth if…

A:

Q: Assume an object's weight, W, is proportional to its height, H. Does it make sense to use…

A:

Q: Find the second derivative of the function. f(x) = 5x + 26x F"(x) =

A:

Q: Tutorial Exercise Use the Quotient Rule to find the derivative of the function. cos(t) f(t) = Step 1…

A:

Q: 2. Which equation models a quadratic relation? Oy = 2x²+1 Oy: O y = x -3z y = 3x+1

A:

Q: 4x A. dx - 3 4 4x A=²³cof=1¹³) + C__ _B. — co(=^^) + C +C 4 4x c. ²2 cof=14) + C 4x D.= co(-1) +

A:

Q: A population of 440 bacteria is introduced into a culture and grows in number according to the…

A: We can solve the given problem by using the derivative rules.

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (e² - e-t)² L{f(t)}

A: f(t)=(et-e-t)2

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: