p3n+1 h(r) Σ-1)" , (п +1) 4m' n=0

Q: (-1)"n²n! 2n n=1 IM³

A:

Q: Find a power series representation for the function. (Center your power series representation at =…

A:

Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

A:

Q: Prove the identity. (1+tanx)^2 = sec^2x + 2tanx

A:

Q: Find the area enclosed by the curves y=2x², y=2\/x ,x=- and x = 1 4 (A) 45/51 (B) 49/96 59/76 (D)…

A:

Q: Verify Green's Theorem by evaluating both integrals an aM dA y² dx + x² dy = |/ əx ду for the given…

A:

Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: Given :y=x2,  y=3x+8To find : The area of zone bounded by curves.

Q: For Item # 9 - 10: A company manufactures fuel tanks for automobiles. The total weekly cost of…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: QUESTION 1 A farmer with 890 feet of fencing wants to enclose a rectangular area and the divide it…

A:

Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the…

A:

Q: Ti al Write step-by-step solutions and justify your answers. Solve the initial-value problem y" +y -…

A:

Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

A:

Q: Evaluate the integral fa* (2* – 11)"dz, dx, by making the appropriate substitution: u = 11). 24 dx =…

A: ∫x3x4-1124dxSubstitute u=x4-11du=4x3dxdu4=x3dx

Q: B. Directions: Determine whether the following functions are continuous on the given interval. x-5…

A: 1).f(x)=x-5x2-x-6f(x)=x-5(x-3)(x+2)⇒Function is discontinuous at x=3 and -2And 3∈(-1,3)Therefore…

Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 9 sin…

A:

Q: dy Suppose 9 x²– 2 ( 3 x³-2x+3) and y(1) = 3. dx What is y(2)?

A:

Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

A: The given problem can be solved as follows:

Q: 5. Suppose a is a positive real number. Determine the area of the triangle enclosed by the lines y =…

A:

Q: The series 1(-1)" converges to 0. True False

A: We have to find if the given series is converges.

Q: Consider the ellipse 64a2 + 289y + 384x + 1156y – 16764 = 0 What are the foci of the ellipse? Enter…

A:

Q: 4. Use limits to determine the values of a and b that guarantee the function below is continuous.…

A:

Q: A small hula-hoop was rolled on the ground.  After rolling exactly 6 times, it went 37.7 feet.…

A:

Q: Find thee inverse function. of fcas_ 2x+3 らメープ

A:

Q: Reacting with water in an acidic solution at a particular temperature, compound A decomposes into…

A:

Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: Follow the procedure given below.

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: corresponding limit after changing the order of integration  here y = z so only this limit is change…

Q: Find the average value of the function f (x ) = in the interval %3D [1, 4] Express your answer as a…

A:

Q: 2.x h(x) = 5x3 + 6 Select the correct response: 8.x3 15x2 +6 10x + 48x (5r + 6)2 10. + 6x® 5x3 + 6…

A:

Q: d d Calculate ri(t) · r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly…

A:

Q: 2. For each of the following functions, determine the derivative using only algebraic techniques and…

A:

Q: Question 7 of 10 f (x) = x – 6x² + 9x - 2 Select the correct response 2.x2 + 12x – 9 - 6x - 12 372 –…

A:

Q: tan x d. y = sec? t dt 3 е. y = dx 1— х2. its

A: We have to find dy/dx for the given function

Q: Find g'(3) given that f(3) = -5 and f'(3) = 4. g(x) = 3x² – 5f(x) g'(3) = i

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: | (2x – y) dx + (x + 3y) dy. Evaluate C: arc on y = x3/2 from (0, 0) to (4, 8)

A: To evaluate the given integral.

Q: d.) lim f(x) = e.) lim f(x)= -3 -2 f.) lim f(x) = X-I*

A:

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (7t + 6)i + tj, 0st<1

A:

Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: N(t) at the given point. cos(t)i+ 6 sin(t)j+ tk; t = 2

A:

Q: p(x) = sin x cOs x Select the correct response. O tan x O cos? r- sin? x ,2 COS" X O sin x - x cos²…

A: p(x) = sinx/cosx here if sinx*cosx then any of the answer is not possible so the question is  p(x) =…

Q: 17 ind the Maclaurin series for f(x) = 1+x

A: Follow the procedure given below.

Q: Given the equation x In(y) = z Arctan(3*y). Assuming z as a function of variables a and dz find

A:

Q: Find an equation for a parabola with focus (7,-2) and directrixx = = 4.

A:

Q: Write the general equation for the circle that passes through the points: (0, 0) (6, 0) (0, - 8) You…

A:

Q: answer 29 and 30

A:

Q: 4 - x -dx. 16 – x2 III. Evaluate

A: Solving

Q: Evaluate the f 2 3 8xy dxdy=? e following integral by usin tes -8 dA = ?

A: We have to find the value of the given integration according to the given information

Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m? – 24m – 16 = 0…

A: Given differential equations y''-24y'-16y=0

Q: For which values of t is the curve concave upward? x=cos(2t) y=cos(t)

A:

Q: Provide a step-by-step solution to the following differential equation (linear equation) (y-x +…

A: Solution: