Which of the following must be true for x in the equation? A. x=0, x=-3 C. x=0, x=-3 B. x, x= -3 D. x0, x −3 + x x+3 = 2

Q: 59. tan 0 + cos ( 1 + sin 0 sec 8

A: Topic = Trigonometry As per guidelines , At a time only one question can be answered. Please repost…

Q: Use integration by parts to evaluate [3.x sin(a) dr. Show all of your work, including what you…

A: Given ∫3xsinx dx formula used ∫u.v = u∫vdx - ∫ddxu∫vdx

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t 1= sin t dt

A:

Q: Given the graph of f (x) above, find the following limits To enter ∞o in your answer field, . When…

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

Q: Solve the following IVP: * = 1² * [1 2 13 2 x(0) = = [4]

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

Q: E. The limit comparison determine convergence test can be used to of this series.

A:

Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

A:

Q: Use the rules for sums of powers to evaluate the following sum. Provide your answer below: 0=163 16…

A:

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

A: Find an equation for the parabola that has its vertex at the originand has its focus at the point:…

Q: Which of the following equations has no solution? 5. a. b. − ²)(a b) = (19) (²2) -77²) (²5) = (69) a…

A: We know that value of determinant is zero when any two row (or column ) are identical. Here in case…

Q: on by parts to evaluate the indefinite integral S 2x sin(x) dx.

A:

Q: Use the Shell Method to calculate the volume of rotation, V, about the x-axis for the region…

A:

Q: Find d dx (45x+6)

A:

Q: The duration of daylight L in minutes(sunrise to sunset), x kilometers north of the equator on May…

A: We need to choose correct option.

Q: Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: √. Find the…

A: Topic - Linear approximations we are givenf(x)=xAnd we know thatL(x)=f(a)+f'(a)(x-a)andddxx=12x

Q: Suppose a sample of a certain substance decayed to 67.4% of its original amount after 300 days.…

A:

Q: Given the vector-valued function u(t)= (t²- 3)i + (2t + 4)j + (t³ - 3t)k, d calculate [u(t) × u'…

A: Explanation of the answer is as follows

Q: Given that 3 sác (a) * 812³dx = help (numbers) xdr = 4.5, 3 (b) ["² 12² 3 ». [² 2²dr = 27, and [² 3…

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

A:

Q: 1 /(-))). i 2x²y² xy³ Evaluate the integral curve joining (1, 2) to (2, 2). Enter an exact answer.…

A: To find the given line integral.

Q: COS X xy + 4y = x3, x>0 A) y = B y = COS X + C x3 sin x + c ,X>0 X>0

A: Given differential equation xy' + 4y = cosx x3

Q: Two equations and their graphs are given. Find the intersection points of the graphs by solving the…

A: NOTE: Refresh your page if you can't see any equations. . given functions are here we have to…

Q: Evaluate the integral - dz 2./or using trigonometric substitution.

A:

Q: A car's velocity is modeled by v(t) = 0.5t² - 10.5t + 45 for 0 ≤ t ≤ 10.5, where velocity is in feet…

A: solution:-v(t)=0.5t2-10.5t+45     for 0≤t≤10.5the car wil stop whenv(t)=00.5t2-10.5t+45=0solving the…

Q: Find the midpoint of the line segment from (9,-7) to (-2,1). Midpoint Give your answer as a point,…

A:

Q: Find the work done by the vector field F = (4z, 4y, 3x) in moving an object along C in the positive…

A: Solve the following

Q: x-1 (a) Use partial fraction decomposition to evaluate x² - 2x - 3 (b) What's another method we…

A:

Q: Find the distance between the points (-1.4,0.5) and (-3.1,1.7) Distance = Give the approximate…

A:

Q: Find the particular solution to the differential equation below such that y(0)=−8.…

A:

Q: Solve the differential equation. dy xax A) y = 1 + + 2y = 5-², x> B y = C) y = D E y = 0 5x2+2x+c…

A:

Q: Find a function P(x) of least possible degree, having a= 1and with the given zeros 4 and 5i.

A:

Q: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t…

A:

Q: Use the substitution x = 5 sint to evaluate the integral f√25 – x² dx.

A: ∫ cos(at) dt = 1asin(at) +C.

Q: Let (in radians) be an acute angle in a right triangle and let x and y, respectively, be the lengths…

A:

Q: I need help with this problem using this method. Determine the inverse Laplace transform of the…

A: To solve the following

Q: 4. A straight river flows north at a speed of 3 mi/h. A boater attempting to cross the river heads…

A:

Q: 5 b [₁² (²x - 7)²¹ dx = [²) vhere = 2x-7 du = 2 7 = -5 = 3 f(u) = 1/10 f(u) du The value of the…

A: Given query is to solve the integral.

Q: 1) [20 pts] Find the gradient of f(x,y,z) = e* (sinxz) (lnyz) at the point (1,2,3)..express…

A:

Q: If sin2x secx cotx = 3, find the value of csc x.

A: Given Equation:- sin2xsecxcotx=3

Q: If f(y) = tan -¹ (3y²), find f'(y). Use exact values. 6y 1+9y² f'(y) = X

A: Given, f(y)=tan-1(3y2)

Q: (a) Compute s3 of 0.0408 2 n19n6 (b) Estimate the error in using $3 as an approximation of the sum…

A: ∫xn dx = xn + 1/(n + 1) + C

Q: First make a substitution and then use integration by parts to evaluate the integral. r5 cos(x³) dr

A: We need to solve the integration by parts.

Q: The gas law for an ideal gas at absolute temperature 7 (in kelvins), pressure P (in atmospheres),…

A: NOTE: Refresh your page if you can't see any equations. . P=pressure T=temeprature V=volume R, n=…

Q: A flat screen television is advertised as being 44 inches on its diagonal. If the TV is 20 inches…

A:

Q: a If the nth partial sum of a series Σ n = 1 00 Σ n = 1 m 2₁ a a = = = Submit Answer (for n > 1) is…

A:

Q: Find given that y=[atan-¹(bx)]². dy dx Assume a,b ER. 2[atan-¹(bx)] O 2[atan-¹(bx)]- O 2b[asec²(bx)]…

A: To find dydx given that y=a tan-1bx2.Assume a, b∈ℝ

Q: day 34 dx2 ................. +...5.x dy ich. 3.x.ehr......

A:

Q: nd the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: Given query is to apply mean value theorem.

Q: A rich uncle wants to make you a millionaire. How much money must he deposit in a trust fund paying…

A: NOTE: Refresh your page if you can't see any equations. . here we have  A=1000000 (future value)…

Q: Find the radius and the center of the circle given by 2x² +8x+2y² −12y+25=0

A: Given query is to find the radius and the centre of the circle.