6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to determine this.

Q: Write the sum using sigma notation. 1² +2²+ 3² + +9² K Σ Need Help?

A: To write the sum using the Sigma notation.

Q: dz Find given: dt z = xe5%, z =t", y = -1+5t dz dt Your answer should only involve the variable t

A:

Q: The equation for the conic section with focus (x, y) = (c, 0), direc ricity e 1, by choosing c =…

A: Topic:- geometry

Q: What is the slope of the tangent line to the curve y=−2x^2+8x+2 at the point where x=5?

A:

Q: 1. The Louvre museum in Paris features an inverted square pyramid with a height of 10 m. The side of…

A:

Q: Explain how you would decide between using the substitution method or the integration by parts…

A:

Q: 12. Find the area of the part of the surface z = xy that lies within the cylinder x² + y² = 1. a) I…

A:

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: Question is solved.

Q: Express 9[cos(60°) - isin(60°)] in the form a + bi

A:

Q: An arithmetic sequence begins 7, 13, 19, 25, 31, ... (a) Find the common difference d for this…

A:

Q: Question 12 Find the sum of 6 O 10 05 n=1 O 12 53-2 +1 The series diverges.

A:

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. d dx re¹2x d dx x4…

A: This question can be solved using the concept of fundamental theorem of calculus part 2 according to…

Q: 8. [In(x² + 1) dx

A: Formula for Integration by parts: ∫fg'=fg-∫f'g

Q: Find the derivative of y with respect to x in the following equation y = 1¹ where u = 1-z O x² O-x²…

A:

Q: Based on this graph, what is the solution to the system of equations? (3, 2) (2, 3) There are an…

A: Topic:- application of geometry

Q: The marginal revenue from the sale of x cans of air freshener is given by 4.4 -0.32√x dollars per…

A: In here, the marginal revenue is given as a function of x. So, we will use the formula: Marginal…

Q: Evaluate lim 0 00 0 1 02 O Infinity 3x²+5 cos x-5 2x

A: Given: limx→03x2+5cosx-52x   As we know the Power rule: ddxxn=nxn-1

Q: T/F: The half-life of the exponential function P(t) = et is T = ln(2).

A:

Q: Set up an iterated triple integral equal to 3-x² = SV So x²+y² 3 2-√√4-x²-y² using: a. Cylindrical…

A:

Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y)=…

A:

Q: Find the equation of the tangent line at the point 0, In 3 3 for f(x)=In 3 e²x² 2e +e²x

A: Topic:- application of derivatives

Q: (4) Recall the formulac: (5) Find the integrals: • ftan² (x) dx t: Is ta SC

A:

Q: Consider the function f(t) = 10 sec² (t) - 3t³. Let F(t) be the antiderivative of f(t) with F(0)…

A:

Q: Use the rules for sums of powers of integers to compute the sum. 22 [² j=8

A:

Q: Find the value of the given limit. lim I 0 tan(4x) I

A:

Q: Consider the plane π : x − 2y + 3z − 1 = 0 and the line l : x = (1 − y)/2 = z + 1.      1.      Find…

A:

Q: fa¹e² da dx: Applying the integration by parts technique, let Consider the integral Ա 4 X dv = ex x¹…

A:

Q: Find the linear approximation to f(x, y) f(6.11, 4.17) f(6.11, 4.17) = 5, xy at the point (6, 4,…

A:

Q: Find the partial derivatives (f, and fy) of the below function and simplify your answe f(ru) = (ru)2…

A: Topic:- application of derivatives

Q: Find the absolute maximum and minimum, if either exists, for f(x)=x² - 6x + 6. Find the first…

A: We have to find absolute maxima and minima of given function.

Q: For f(x)=(sqrt x) + 2x , find the equation of the secant line passing through x1=4 and x2=9. Write…

A: Please see the below picture for detailed solution.

Q: 40- 30 20 10- -10 10 10 20 30 40 50 60 Christian is a lifeguard and spots a drowning child 60 meters…

A:

Q: (a) Consider the sequence f(n) = 1 + 4n, where n is an integer ≥ 1 (i) Evaluate the first six…

A: The given sequence fn=1+4n, where n is an integer n≥1

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A:

Q: Write the following expression as one integral. 5 7 5 I from S₁ •Sf(x) dx - - f(x) dx + - f(x) dx -7…

A:

Q: Determine the following: iffere (a) 10 -5x² - 42x+194 (x+3)(x-8)(x-2) 9 -dx VIM

A:

Q: When completing the square, a quadratic trinomial is turned into which one of the following? A…

A: Given.

Q: Need Help? TEACHER How long will it take for an investment of $3000 to double in value if the…

A:

Q: When trying to figure out how many $5 burritos and $3 tacos to buy, which equation represents the…

A: Let  B be the number of burritos, T be the number of tacos

Q: If log y = 7 which is equal to y? O 107 O 70 O 10000 O 7¹0

A: Topic - Logarithmic function log x=a x=10a

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function.…

A: This question can be solved using the concept of absolute maximum and absolute minimum.

Q: inside lemniscate- r² = 6 cas20 outside circle- r= √3 find area

A: Please see the below picture for detailed solution.

Q: Find the indicated value. f (2,3) if f(x,y) = 4x²y - 2xy³ f (2,3)= (Type (Type an integer or a…

A: fx represents the partial derivative of the function f(x,y) with respect to x. Also fx(a,b) is the…

Q: A particle is moving with a position function given by s(t) = 6t² - ³ with position in metres and…

A:

Q: On which intervals is the function f(x)=-2x^(3) +3x^(2) +36x+4 increasing? Do not draw a graph.

A: The objective of the question is determine the interval in which the given function is increasing.

Q: Solve the following (i) 33x-5- = 9/x equations: (ii) 22x+2 = 42x-1

A:

Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.

A:

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 7,…

A: To find out the position of the particle.

Q: For the following exercises, consider a pizzeria that sell pizzas for a revenue of R(x) = ax and…

A: Given,           Rx=7x and Cx=160-2x+x2To find : How many pizzas sold maximizes the profit.

Q: x² - 6x +8 a. b. C. d. e. (x-4)² - 8 (x - 2)² - 8 (x-6)² +8 (x - 3)² - 1 (x - 9)² - 1

A: For the following problem,