Find the volume of the parallelepiped determined by the vectors a (3, 4, 1), b = (0, 2, 4), = (2, 4, 1). Volume = cubic-units

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

A: We can find the answer using the data given in the table as below.

Q: Jennifer's investment account balance grew from $400 to $432.76 in months. What annual rate of…

A: Topic = Algebra

Q: If then is equal to Select one: -2 2 -5 O 5 none of the others [²5(x) f(x)dx = 7 and f(x)dx = 2 ['se…

A:

Q: OLA: Solve the following system by (method of inverse) 2x₁ + 3x₂ = 5 x₁2x₂ = -1

A: Given problem:- Solve the following system by (method of inverse) 2x1 + 3x2 = 5 x1 - 2x2 = - 1

Q: Use the Midpoint Rule with n= 3 to approximate the integral. S √x + 1dx = [Please enter your answer…

A:

Q: Use any of the results in this section to evaluate the given integral along the indicated closed…

A: Cauchy’s Integral Theorem : If f(z) is an analytic function in a simply-connected region R, then…

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: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.

Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: O True O False 6 -6 edx

A:

Q: Given that ∞ Σ n=0 x = 1 to x = - X ∞ n=0 Identify its interval of convergence. The series is…

A: Here, we know that the power series of 11-x is: 11-x=∑n=0∞xn...(1)

Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

Q: True or False: The definite integral 2 L₁ (x + 36 is equal to Select one: O True False 2 [² (x +…

A: We can answer the question as below using the properties of integration.

Q: Evaluate the integral or state that it diverges.

A: NOTE: Refresh your page if you can't see any equations. . substitute  take derivative…

Q: A spherical triangle has an area of 327.25 sq. km. What is the radius of the sphere if its spherical…

A:

Q: Find the radius of convergence for: 3 (n!) ³ (3n)! n=1 xn

A: Recall that the radius of convergence for a series ∑n=1∞anxn is R=limn→∞anan+1

Q: Given the velocity v=ds/dt and initial position of a body moving along a coordinate​ line, find the​…

A: Solution is given below:

Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

A:

Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnan. n=0 Find the…

A:

Q: 2 ƒ 6x dx

A: Here we have to integrate the given problem

Q: [1 Q6: Find A1 where A = 3 2 -1 6 1 0 -2 4

A:

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A:

Q: Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

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Q: Evaluate the integral. 5x² √ 3²-x² dx

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Q: function. f(x) = 2x-3 Start by drawing the vertical and horizontal asymptotes. Then plot two points…

A: We have to draw the graph

Q: Question 2 Given the equation -5x² + 10x - 5y² - 80y5z² + 60z = −340 a) [1.. Show that the given…

A: This question is based on standard equation of sphere.

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

A: To solve the differential equation:

Q: Let a = . Find a unit vector in the direction of a

A:

Q: True or False: The definite integral is equal to Select one: O True False 1² (x² + 3e*)dx [²x²dx + 3…

A:

Q: Consider the triple integral of f(x,y,z)=(z²)(x²+y²+z²)¹/² over the solid region S where z is…

A:

Q: Find the derivative of the logarithmic functions: y = ln(12x-4)

A: Solution of given question is written in below steps.

Q: -1-y 3) Evaluate the integral dxdzdy? 0

A:

Q: Sketch the graph of a function that satisfies the following conditions

A: Given

Q: Write the given expression as an algebraic expression in x. cos(2 cos-¹(x))

A:

Q: Let a = -27 +53 + 4k. Find a.

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Q: H.W: show that the equations are homogeneous and solve: 1. (x + y)dy + (x − y)dx = 0 2. x²dy + (y² −…

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Q: J = * By using trapezoidal rule, n=2, The integral π/2 sin (x) dx 0.9482 0.9480 0.9481 0.9444…

A: To evaluate the integral J=∫0π2sin(x)dx usiing Trapezoidal Rule:

Q: Annual U.S. factory sales of consumer electronics goods to dealers from 1990 through 2001 can be…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take derivative

Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution is given below:

Q: y = f(x)

A: We can answer all the three questions as below.

Q: Let à = i +43 and b - 37 - 7j. Find a . b

A:

Q: What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

A: . What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

Q: te the integral 2. 01 jjax + y + -1 -1 (x+y+1)dxdy

A:

Q: dx S. √√x

A:

Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Solution is given below:

Q: 5. r² = 1 2

A: According to the question, we can answer only first question and rest can be reposted.

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

A:

Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

A:

Q: dx 16. S sin Ex di √x u= √√x du= I u 12/12 dx = ५५ -1/2 dx 2 би du YN

A: Solve the integration

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: Express the equation in logarithmic form: (a) ex = 5 is equivalent to In A = B. Then A = and B = 3…

A: To express the equation in logarithmic form:a ex=5 is equivalent to ln A=B. Then A=?and B=?b e3=x is…