4. L{cosh √at}

Q: Which expression does (sin x)(cos 2x) + (cos x)(sin 2x) simplify to? O cos 3x O-sin x sin 3x O…

A: To simplify the expression

Q: would love some help

A: Topic:- sequence and series

Q: Which of the following can cos² be simplified to? 0 1-sin O 1 + sin e 01 - sin e O sin e O cos -…

A: Given expression: cos2θ1-sinθ

Q: 1. (D³ + 4D2+D-6)y=0

A: Given : Rewrite as below :

Q: Use the fact that ∞ 2 sin x cos x = n=0 ∞ to find the power series expansion of sin² x at x = 0. n=0…

A: Given the fact that 2sinxcosx=∑n=0∞-1n2nx2n+12n+1!.It is required to find the power series expansion…

Q: 2² Calculate Rn for f(x) = - R + 6 on the interval [0, 4] and write your answer as a function of n…

A:

Q: Evaluate the integral. 12 tan ³x dx 12 tan ³x dx=

A:

Q: (For Marketing & Sales Analysts-Consultants). Four months after the deliveries of goods were…

A: Given the sales modely=Cektwhere y represents the sales per month in a given month tIt is also given…

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. X+4 2x³ - 8x Rewrite…

A:

Q: f(x, y) = e2xy ln(8y) of дх af ду m m ---

A:

Q: 13. A right circular cylinder is inscribed inside a sphere with radius r = 3 inches. Find the…

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: Given query is to apply rolle's theorem.

Q: 42. lim √√x = 0 0-x

A: Given query is to find the limit of the expression.

Q: S* (x² − 4x + 4) dx ≥ 0

A:

Q: n²cos (1/1) 2n² + 1

A: Given query is to find the series converges or diverges.

Q: What are all the solutions to the equation sin 2x = sin x in the interval [0, 2п)? 0 10, Зл 2 0,…

A: We have to find the solutions to the given equation.

Q: 4

A: We have to calculate according to the given information

Q: 15. Find the sum. 10 Σ3(2) -1 i=1 Sn = a₁ (1-²) 1-r

A: Given query is to find the sum

Q: i) f x² sinx dx

A: Dear learner, As per the guidelines, We can provide the solution for first one only. Kindly post…

Q: 4. Given function g(x) = { -1, 1, if is an even integer; if x is not an even integer. (A) Graph…

A: The given function gx=-1,if x is an even integer1,if x is not an even integer We have to sketch the…

Q: For Exercises 1-3, determine whether each linear function is a direct variation. If so, state the…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 15.4, 4

A: We will find the required area of one leaf.

Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

A: given   z3-5xy+3yz+3y3-90=0f(x,y,z)=z3-5xy+3yz+3y3-90∂xn∂x=nxn-1

Q: (E) What is the form of the general solution to this differential equation?

A:

Q: Find f such that f′(x)=4x−9​, f(9)=0.

A:

Q: A company estimates that its sales will grow continuously at a rate given by the function S′(t)=40et…

A: To find the total sales with rate of sales given.

Q: 5. Given sin 0 = 7 for 0 in Quadrant II, evaluate the six trigonometric functions. 25

A: Given query is to find 6 trigonometric functions.

Q: Let f(x) = 0 when x is a rational number, and f(x) = 1 is x is an irrational number. Show that f is…

A: A function f(x) on [a,b] is  Riemann integrable if it has finite(countable) number of…

Q: 3. Use an addition or subtraction formula to find the exact value of cos 250° cos 40° + sin 250° sin…

A:

Q: Which one of the following could be the graph of the curve given parametrically by x(t) = 3-t², y(t)…

A:

Q: Find the inverse of the function. y = 5x +7 A) y= log5 (x-7) B) y= log6-2x C) y= log22x D) y =…

A:

Q: 8. Find the slope of the tangent line to polar curve r=1+2 cos 0 at 0 = π/3.

A:

Q: Find an equation for the hyperbola described. Graph the equation by hand. Center at (0,0); focus at…

A: Let's find equation of hyperbola. Given centre,vertex and focus.

Q: f(x, y) = cos² (9x – 3y²) of дх of ду

A: To find the partial derivatives

Q: S f (t) dt = cos(t²) + C, what is f (t)?

A: Given query is to find f(t).

Q: A restaurant has a main location and a traveling food truck. The first matrix A shows the number of…

A: Given matrix A = 52723B = 438193

Q: Find the interval of convergence of the se- ries Σ n=1 an Vn+3

A:

Q: bair of dice is rolled. What is the probability of getting a sum of 11? What is the probability of…

A: Given query is to find the probability of getting 11.

Q: Determine whether the following two lines L1 and L2 are parallel, interesecting, or skew. L1: x/2 =…

A: Solve the following

Q: Find the gradient of the function g(x,y) = xy² at the point (2, -4). Then sketch the gradient…

A:

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (10/9)t2,…

A: Given:- D=109t2  Where D is measured in meters from starting point , t is measured in seconds from…

Q: Solve. log6(5x-5)=4 Select the correct choice below and, if necessary, fill in the answer box to…

A: log65x-5=4

Q: a. Find a function (f(x,y,z)) such that (F = Vf(x,y,z))? b. Use part (a) to evaluate (F. dr ) along…

A: We have to evaluate the ∫CF.→dr→.

Q: Which of the following expresses 1+3+9+27 +81 + 243 in sigma notation? 6 (a) Σ_3k-1 k = 1 Select all…

A:

Q: 01 3 2 16-s² ds= (Type an exact answer.)

A: We are required to evaluate∫04316-s2ds

Q: Find the area of one petal of the graph r = 3 sin 40.

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the area of one…

Q: Determine if the sequence {an} converges, 3n4-4n³+1 4n4+3n²+2 when an - and if it does, find its…

A:

Q: Evaluate the line integral foyda zdy, parabola y = x² for 0≤x≤ 2.

A: To find:- ∫Cydx-xdy

Q: se Lagrange multipliers to find a point (x, y, z) that will satisfy the roblem: aximize: onstraint:…

A:

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=x² + xy + 5x+3y-1…

A: Given f( x, y ) = x2 + xy + 5x + 3y - 1 for maxima and minima step 1) ∂f∂x = 0  &  ∂f∂y = 0 r =…