Write a full solution  Let consider the following function: ?(?) = 2(? + 1)^2  −8.  A) Find the x- and the y-intercepts.

Q: Worksheet 1 Draw a circle on a Cartesian plane ( using a graphing paper) with the following properti...

A: For c=(0,0) and r=5

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

A:

Q: (a) sec e = 2 e = degrees e = radians (b) cot e = 1 degrees radians

A: SOLUTION-

Q: Find the derivative. 5) y -2. 9 sec x A) y'- 9 wec x tan x B) y'-9 tan?x C)y'--9 D) y' =-9 sec x tan...

A:

Q: Pls help ASAP

A:

Q: 3. Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square i...

A:

Q: 0.3 0.6 0.9 1.2 1.5 h(q) 19 30 46 73 114

A: To find the h'(0.90), means calculate slope between [0.6,0.9] h'(0.90) = h(0.9)- h(0.6)0.9-0.6=46-30...

Q: The area of an ellipse is rab, where a and b are the lengths of the semimajor and semiminor axes. Co...

A:

Q: Select all the expressions equal to pr ry Op.r: (r· y) O (p . z) ÷r·y Op.

A: NOTE: Refresh your page if you can't see any equations. .

Q: て+ ×ら-てとを (X) sketch the graph

A: The function is given as fx=x3-3x2-9x+2 sketch the graph of fx.

Q: Gffind the fallowing. リLf07→f(りこ 45in ut 3. とe

A: To find:1) L4sin4t2) L4+e4t3

Q: e sinh 2x dx

A: The given integral,       ∫e-xsinh(2x) dx

Q: x5tan(x²) sec²(x²) dx

A:

Q: Which Riemann sum represents the illustration shown? AY 4 3 3 o 12 x .2 i=0 3. o 1 E x; i=0 i=0 3 O ...

A: The given line is: y=x2

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

A:

Q: 1. f(x)=5**1

A: Answer: the solution is as given below :   

Q: ) A stone is dropped into a pond and sends out a circular ripple whose radius increases by 5 cm/seco...

A:

Q: 2. 4. 14TC 9) csc - 3. 11) sin 13) tan 3. 15) sin 17) cos 0 19) cot 4.

A:

Q: Problem 3. Find the derivative of the following function I sec(1 +r') dt. sino) F(x) = F() D

A:

Q: v(t) = VE – Vt, then find the second derivative, v" (t) =

A:

Q: 1) The slope of the tangent line to the curve y=2/x at the point (4,1/2) is:   2) The equation of ...

A:

Q: Using the definition f continuity justify X-Values where the funcion is not continur 7) fus = %3D if...

A:

Q: 7. Find the arc length of each curve (integrate by hand) a) x = -8y– 3 on [– 2,6] b) y = , 3 on [0,6...

A: Here we have to find the arc length of the given curves.

Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values....

A:

Q: Find y'. 4) y = (5x3 + 5)(5×7 .7) A) 250x9 + 175x6 - 105x2 C) 20x9 + 175x6 - 105x2 B) 250x9 + 175x6 ...

A: The function is given by y = 5x3+55x7-7 To evaluate: The expression of y'

Q: f (x) 3 —2 — (х + 8)2

A:

Q: Suppose that g is a function that is differentiable at x = 4 and that g(4) = -2 and g' (4) = 1. Find...

A: We are asked to find the value of h'(4)

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

A: topic - equation of ellipse

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a sl...

A: Follow the procedure given below. Here,option is wrong, correct ans i given below with solution.

Q: 4. Consider the function g(x) = r+3° a) Find the derivative of g using differentiation rules. b) Ver...

A: The given function, g(x)=2x+3

Q: If   f(x) = 8x2 arctan (9x2),  find f’(x)

A: Explanation of the solution is given below...

Q: Find the derivative of the function f by using the rules of differentiation. f(x) = 3x4 - 3x7/2 + 7 ...

A:

Q: The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is...

A: Given:- The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the popul...

Q: Consider the given vector equation. r(t) = 3 sin(t)i + 4 cos(t)j (a) Find r'(t). r'(c) = (b) Sketch ...

A: Solution of question is written in step2.

Q: Use the function f(1) = a² – 4 to fill in the table: 2 f(z) 3 2.5 4.5 2.1 4.1 2.01 4.01 Based on ONL...

A:

Q: 6. Suppose h(r) = (f(r) + VT) · g(r), f(4) = 3, g(4) = -1, and f'(4) = g'(4) = 5. What is h'(4)? Exp...

A: Given h(x) = (f(x)+x )·g(x)h'(x) = d( (f(x)+x )·g(x))dx

Q: A particle moves along a straight line and has acceleration given by s"(t) = 5t. [ts initial velocit...

A:

Q: 4. Consider the function g(x) = I +3 a) Find the derivative of g using differentiation rules. b) Ver...

A:

Q: 7. In a certain country, the number of people (in millions) using their mobile phones to check email...

A: Given query is to find the derivative of the function at different points.

Q: Solve the inequality,and write the solution using interval notation.

A: The given inequality is:x2+4x-12>0To solve the inequality, and write the solution using interval ...

Q: 12) y = esin t (In t5 + 10) A) eCos t (cos t)(In t + 10) - 5esin t 5esin t cos t B) C) esin t (cos t...

A: From the formula of derivative multiplication which is    d/dx[f1(x)*f2(x)] = f1(x)*d/dx[f2(x)]+f2(x...

Q: (a) Define what it means by 2 for y = f(x). %3D

A: Topic:- calculus

Q: Consider the equation sin x – cos 2x = 0 a. Show that this equation has a solution in the interval [...

A:

Q: Find a possible formula for a polynomial of degree four with zeros at (and only at) r -2, 2, 5, and ...

A: topic - polynomials

Q: Suppose h(x) = /f(x) and the equation of the tangent line to f(x) at x = 1 is y = 4+ 4(x – 1).

A: WE area asked to find h'(1)

Q: What is the integral of f(x) = X within the interval [3, 6]? %3D 5. 4+ 3- 2- 1 O Area = 18 O Area = ...

A:

Q: 4. Use the arc length formula to show that the length of a linear function f(x) = mx +c on the inter...

A:

Q: Find the radius of curvature of the following curve at the given point. Then write the equation of t...

A:

Q: 7/2 cos²0 do

A:

Q: cos (82)*da 3. %3D

A: To evaluate:∫cos8x3dx