3 A curve is given parametrically by y = 2t 2, x = t²-1. The area between the curve and the x-axis between t = 1 and t = 4 is ...? a) 511 sq, units Ob) 6 64 sq. units Oc) 127 sq. units d) 1016 sq. units

Q: Find the distance between the two points shown below. 2 1 -1 -2- -3 -4 -5 Distance = A 2 B + Ta…

A:

Q: If f(x) f'(x) = = x2 - 3 - t² dt then

A: ∫xndx=xn+1n+1+cdxndx=nxn-1dconstantdx=0

Q: What is the best convergence test to determine the convergence or divergence of the following…

A:

Q: (D² + 5D + 4)y = 3-2x, Find Yp O a. 11 8 O b. O C 1 11 O d. 11 8 11 8 3 8 + X 3 e none I + X 3 X X 3

A:

Q: artha invests $7600in a new savings account which earns 5.5% annual interest, compounded…

A: Formula for compounded continously A = Pertwhere A = amount after t P = principal amount r = rate of…

Q: b. The equation of a circle of radius r, centered at the origin (0,0), is given by r² = x² + y² •…

A:

Q: A record company has determined that the cost of producing CDs is $0.04 per CD plus $657.60 per…

A:

Q: What is the differential equation of the orthogonal trajectories of the family of curves x²-3xy -…

A:

Q: Given y = X 3 + 7x²-3x, find all points of inflection and interval(s) of concavity. 3 Concave up:…

A: 1st derivative

Q: The marginal cost for a company to produce q items is given by MC(q) =0.003q²-0.8q+615. The…

A:

Q: (D³-4D²y = 5, Find Yp a. 5x² O b. 5.x² 4 Oc 5x² 12 O d. 5x² 12 e. none

A: Given differential equation ( D3 - 4D2 )y = 5

Q: Solve the following equations. 1. (xy + y²)dx-x²dy = 0

A:

Q: 2. Let f be the function given by f(x) = 300x-x³. On which of the following intervals is the…

A: Given function:- fx=300x-x3

Q: Find the roots of (D4 + 4)y = 0 a. +2i, ±2i + 2 O b. 2+2i, ti O c. 1 ti, 1+i

A: Given equation ( D4 + 4 )y  = 0for the root D4 + 4 = 0

Q: If f(x) = ex- 1,0 ≤ x ≤ 2, find the Riemann sum with n = 4 correct to six decimal places, taking the…

A:

Q: Find the roots of (D4 + 4)y = 0 O a. +2i, 2i + 2 O b. 2+2i, ti OC. 1 ti, 1 ti c. - O d. - 1 ti, 2+2i

A:

Q: 4. Use a linear approximation to estimate tan (47°).

A: Let's find value of tan(47°) by using linear approximation.

Q: 3. (y² - xy)dx + x²dy = 0

A:

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. y -4 A Find the…

A:

Q: 6. A particle moves along the x-axis. The velocity of the particle at time t is 6t - t². What is the…

A:

Q: 4. (x² + y2)dx + 2xydy

A: To solve the given differential equation

Q: termine the area of the region bounded by y = ea = X X x² + 2 and y = 0 on the interval [-3,5].

A: Given query is to find the area of the region.

Q: 14) Simplify the radical expression by rationalizing the denominator. 15√7-6√T 5√3 5) Determine the…

A:

Q: R is the region bounded by the functions f(x) = x² + 1 and the x-axis and the lines x=0 and x=3.…

A:

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: Use differentiation to find the horizontal tangent line.

Q: (D2 + 5D + 4)y = 3-2x, Find Yp a. 11 8 O b. O C - Od 11 8 11 8 11 8 00 + O e. none X 3 + X 3 X 3 X 3

A:

Q: Find the roots of (D4 + 4)y = 0 O a. +2i, ± 2i + 2 O b. 2+2i, + i O c. 1 ti, 1+i - ti O d. - 1 ti,…

A:

Q: Meeting: Find the slope of the tangent line at x=2, USING THE DEFINITION. Then write the equation of…

A: Given query is to find the slope of the tangent and the tangent line.

Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

A: Given, The pyramid base is a square of side 1290 Height of pyramid 4660 To be found : Volume of…

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A:

Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

A:

Q: Given u = (-2,-3,0) and v= (1, 2, 1), (a) Find 3u + 2v (b) Find 13u + 2v| (c) Find the unit vector…

A:

Q: A pair of dice is rolled. What is the probability of getting a sum of 12? What is the probability of…

A: Solution: When two dice are rolled

Q: Find the roots of (D4 + 4y = 0 O a. +2i, ±2i + 2 O b. 2+2i, ti Oclti, -1+i O d.-1 +1, 2+2i O e. none

A: To find the roots of D4+4y=0

Q: A ball of radius 15 has a round hole of radius 3 drilled through its center. Find the volume of the…

A: Given query is to find the volume of the resulting solid.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec³(x) tan(x) dx

A: Evaulate the indefinite integral

Q: Find the producers' surplus at a price level of p = $56 for the price-supply equation below. p= S(x)…

A: The following formula can be used to find the producer surplus (PS), PS=px-∫0xS(x)dx , where p is…

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A:

Q: Find the equation of the straight line thru (2,-3,7) parallel to the z-axis the straight line thru…

A:

Q: Rewrite sin (a x + 11T 7) in terms of sina and cos x. Simplify your answer. 6 Enclose arguments of…

A: As we know that; The trigonometric identities: 1). sina+b=sinacosb+cosasinb 2). sinπ2-x=cosx 3).…

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

A:

Q: Determine which of the following is the particular solution for the differential equation (D² -…

A:

Q: Professor Goetz took a heavy marine 100 foot, 0.75 lb per foot rope and through it through his…

A: Knowing the relation between the energy and the food to realize how may energy do you need in each…

Q: Find

A:

Q: Evaluate the expression. 10 P2 The solution is ☐

A: To evaluate the following expression.P210

Q: use partial fraction decomposition to compute ∫ 1/((x-1)(x^2+1))

A: Given integral ∫1( x - 1 )( x2 + 1 )dx

Q: 22 of 86 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 1. If y=xsinx, then dy dx (A) sin x + cos.x (B) sin x +…

A: Since, you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: on enclosed by the given curves. (A graphing calculator is recommended.) - x², y = 0 -1 y 3 2 1 y 3…

A: Topic:- application of integration

Q: Which of the following functions is equivalent to ƒ (x) = log4 (16x)? Hint: There are 4 correct…

A: The given function fx=log416x. We have to find the equivalent functions of fx.

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given query is to find indicated antiderivative.