an = arn+1 an = arn-1 * The general term of geometric progress Option 4 O Option 1 an=arn a" = arn-1 Option 3 Option 2

Q: 3 Approximate (4+x²) dx using five equal subintervals. -3 An approximation for the integral using…

A: To approximate ∫-334+x2 dx by using five equal subintervals.

Q: Let T be multiplication by the matrix A, find the rank and nullity of T. 1 1 3 A = 6 7 -4 58 rank…

A: We have to find the rank and nullity.

Q: Evaluate FR 1.³ 0 sin(2x + 3)dx None of them 0.9989 0.9899 = -0.9899 1.21 -0.9998 -0.9989

A:

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is pumped into…

Q: Find the value Saxe-aix dx

A: Given: ∫0∞x e-x10dx

Q: Let à . Find al.

A:

Q: JO dt (Type exact answers.) The total amount of water that will drain from the pool is (Simplify…

A:

Q: 3. (a) Solve the differential equation (x+1) ª¹ = y +e³(x+1)² . dx (b) Form the differential…

A:

Q: A cell phone plan charges $49.55 per month plus $14.02 in taxes, plus $0.60 per minute for calls…

A: Need to write down the piecewise function.

Q: Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.

A: We need to find ln(9.2)

Q: 2. Find the area of the region inside the cardioids r = a(1+cos 0), a>0

A:

Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A:

Q: -1-y 3) Evaluate the integral dxdzdy?

A:

Q: The intervals on which f(x) = x² In x is increasing and decreasing, and the intervals of concavity…

A:

Q: Solve: y'' + 4y' = sin (2x)

A:

Q: A manufacturer estimates that the cost of production of x units of a certain item is…

A:

Q: Solve the system of equations by any method. -2x + 5y = −35 7x + 2y = 25 Enter the exact answer as…

A: We use the elimination method to solve the given system of equations.

Q: Let a = (5, 5, - 3) and b = ( – 5, 3, 0). Find the projection of b onto a. proj¡ b = <

A:

Q: Let à = and b= . Find k so that a and b will be orthogonal (form a 90 degree angle). k=

A:

Q: The length and width of a rectangle are measured as 40 cm and 30 cm, respectively, with an error in…

A:

Q: The value of the definite integral 2 [²4x 4x³ dx

A: Given integral ∫12  4x3  dx we use the formula ∫ xn dx=xn+1n+1+C    ; n≠-1

Q: 3x 2. y = Ae³x cos x+Be³x sinx

A:

Q: Prove the statement using the €, & definition of lim(x² + 2x - 7) = 1. →2

A:

Q: Evaluate the following integral. 22x² S= x4-61x² +900 Find the partial fraction decomposition of the…

A: An indefinite integral is provided. We have to evaluate it by using the partial fraction…

Q: The derivative of a^u with respect to x is a ln a du/dx (a^u) * du/dx ln a * du/dx (a^u) * ln a *…

A:

Q: 4. (a) Find L 5t cos at - e³ t (b) Find L te cosh 7t].

A:

Q: The number of people in a town of 65,000 who have heard an important news bulletin within t hours of…

A:

Q: Find the equation of the curve at every point of which the tangent line has a slope of (1+y^2)/2xy…

A:

Q: Find the dot product of the following vectors u and 7.

A:

Q: equilibrium point, and (c) the producer surplus at the equilibrium point. 7 1 -x+ 27, S(x) = x+3 10…

A:

Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

A:

Q: Find the derivative of the function. f(x) = ex In(x³) f'(x) = X

A:

Q: Question 3: A) Find the critical points of the DE: y' = y¹ − 5y³ + 4y². B) Classify each critical…

A:

Q: a) Find all values of x where the function is discontinuous, and (b) graph the given function f(x) =…

A: Here, the given function is: f(x)=2x+2            if x≤0x2-2x+2   if x&gt;0

Q: Which of the following is a unit vector parallel to the vector ? Select one: 8 81 81 2 0,-/> None…

A:

Q: Use an area formula from geometry to find the value of the integral by interpreting it as the…

A: Find the value of integral

Q: Find all the values of x such that the given series would converge. (8x)" n11 n=1 The series is…

A:

Q: A furniture store sells 96 coffee tables per month at $1100 each. The owners estimate that for each…

A:

Q: Consider a solid G, generated by rotating the region bounded by y = 2x² and y = 0 from would the…

A:

Q: Use the matrices below to perform the indicated operation if possible. B If the operation is…

A: To find out 2C+B

Q: Integrate (sinx + cos^2x)^3 dx

A: To evaluate: ∫sinx + cos2x3dx Let I = ∫sinx + cos2x3dx ⇒I =…

Q: 3. Let f(x, y) = x³ 3x² + xy +7 and u = 0.6i + 0.8j, then find Duf(1,-2).

A:

Q: Find the position of a body moving on a coordinate line at time t for an acceleration a= dt² initial…

A:

Q: Find the area of the region enclosed by the curves y = 7sin x and y=sin (7x), 0≤x≤t.

A: The region enclosed by the curve y=7 sinx and y=sin(7x), 0≤x≤π

Q: Evaluate the infinite series by identifying it as the value of a derivative of a geometric series.…

A: Solution

Q: Evaluate the following integral. Sx12xdx x12*dx = (Type an exact answer. Use parentheses to clearly…

A:

Q: Find the indicated derivative. 3 If f(x) = 24³x² + 96 3 VX find f'(8).

A: Here we will find f'(8),

Q: By the condition of a will, the sum of P 1.500 is left to a boy to be held in trust by her guardian…

A: Follow the procedure given below.

Q: H.W: Solve the differential equations: dy 1.+2y=e* dx 2dy - y = ex/2 dx 2.2

A: First Order differential equation :                 Consider the differential equation…