The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of each given set. C n(A) = n(An C) = n(AnBnCº) = 2 9 7 B 5

Q: 1. Given the diagram below, determine the angle made by the diagonals AD and BC.

A:

Q: Use the given transformation to evaluate the integral. JJ (15x+10y) dA, where R is the parallelogram…

A:

Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A:

Q: I The curvey = tan x crosses the line y = 10x at a non-zero x-value between x = 0 and x = . Use…

A:

Q: Consider the implicit curve C given by the equation C: y²e²¹ = 3y + x². (a) Find d (b) Find d (c)…

A: Consider the implicit curve C given by the equation(a) To find .(b) To find .(c) To find the…

Q: According to the following functions Determine c) f(x)=-3/4 x+2 a) Type of function b) Domain of the…

A:

Q: Use the limit definition of the derivative to find f ′ (x) where f(x) = 10/x . Note: use appropriate…

A:

Q: please do the second one

A: Using integration, we can find the required area.

Q: Evaluate. 5 Ĵ - 3 (4x² - 5x+7) dx

A:

Q: Find the area of the shaded region. square units 2 1 -1 y=x² - 2x³ y=0 2

A:

Q: 30 20 10 -10 2 4 5 6 X When is it slowing down? (Enter your answer using interval notation.) (3,6) 3…

A: By graph, we get that Curve of velocity v is going up side from x=3 to x=6So,the interval of…

Q: A favorite aunt wishes to establish a trust fund for her niece's math education. How much should she…

A:

Q: Solve the following ODE using the trial solution method, y" - 4y=0 with the initial conditions, y…

A:

Q: Which expression is equivalent to secα(1−cos2α) for all values of α for which secα(1−cos2α) is…

A: To find an equivalent expression for secα(1−cos(2α)) for all values of α for which secα(1−cos(2α))…

Q: Let f be the function defined as follows. y = f(x) = 9x² - 4x + 8 (a) Find the differential of f. dy…

A: Given y=f(x)=

Q: d²y Find the second derivative (Notation: 2 or y') if xy = y² + 2. Simplify dx² until there are no…

A:

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)}…

A:

Q: Find the equations of the asymptotes of the hyperbola described by the equation: (x+3)²_(v−2)²_1 9 O…

A:

Q: 5. A toy manufacturer figures that it costs $4 to make a toy car. There are fixed costs of $500 per…

A: The cost function is here x is the number of toy cars.the revenue function is

Q: 1. Ema thinks that (i) x w, exists. Paul disagrees with her. Who is right? Explain why.

A: The dot product results in a scalar quantity, while the cross product results in a vector quantity.

Q: 4. What are the variance and standard deviation of random variable X with the pdf given by x>2 f(x)=…

A: The probability density function of the random variable X is:

Q: 2. Given the vector a = (3,-4,5) and vector b = (-2,3,1) determine the following in the most…

A: Since you have posted multiple subparts question in this question which are not interlinked so i…

Q: Find a power series representation for the function. (Give your power series representation centered…

A:

Q: The bireme was an ancient ship used by the Phoenicians and other peoples associated with the…

A:

Q: 6-Use the algorithm for curve sketching to sketch the following:( Show all steps) Y = -10x³ + 3x² +…

A:

Q: Suppose that the perimeter of a particular Norman window is o be 40 ft. What should its dimensions…

A: A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular…

Q: Determine the radius of convergence for the series below. 4" (x − 2)" Σ In (40)

A:

Q: Consider the vector field. F(x, y, z) = (8e* sin(y), 2e sin(z), 6e² sin(x)) (a) Find the curl of the…

A: Consider the vector field.(a) To find the curl of the vector field.(b) To find the divergence of the…

Q: 4. Suppose is divergent. What can you say about an? Choose all that apply. □ If lim П-00 Dr a n→∞ If…

A: are positive term series and is divergent.

Q: Find an angle between 0 and 27 that is coterminal with the given angle. answers.) (a) (b) (c) 19п 5…

A:

Q: Solve 7 cos(2w) = 7 cos² (w) - 4 for all solutions 0 <w< 2π W= Give your answers accurate to at…

A:

Q: If c = (−3, −5) and ♂ = (–2, −6), find |4č – 2.5d|. O √74 O √146 O 7√5 O 8√6

A:

Q: Using a double-angle or half-angle formula to simplify the given expressions. (a) If cos² (37°) -…

A:

Q: Find the coordinates of the point (x, y, z) on the plane z = 4x + 2y + 3 which is closest to the…

A: To find the coordinates of the point  on the plane  which is closest to the origin.

Q: A company produces a special new type of TV. The company has fixed costs of $467,000, and it costs…

A:

Q: For the function y = - 9x 6 X² + 3x at (3,- 11). find the following. (Give exact answers. Do not…

A: The given function is; y=(x2-9x) /(x2+8x) Point (3,-6/11)Find the slope of the tangent line and find…

Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 3 ft/min.…

A: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 3 ft/min.…

Q: Sketch the graph of the function. f(x) = x³ - x² O O -2 Submit Answor 2 2 2 -2- O y t -2 -4 y 2 -4 2…

A:

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A:

Q: Evaluate the definite integral. L₁ (2² - 2)² dx X 9.73

A:

Q: Solve the given differential equation by using appropriate substitution. The DE is homogeneous. -y…

A:

Q: Producers' Surplus The demand function for a certain brand of CD is given by p=0.01x² 0.2x + 13…

A: Answering first question in multiple questiongiven p = −0.01x2 − 0.2x + 13=D(x)p = 0.01x2 + 0.7x +…

Q: Substitute the value of y' in 1 + (y)²

A:

Q: (9) Estimate the area under the graph of f(x) ix from x=1 to x-2 using four approximating rectangles…

A: we have given function f(x)=from x=1 to x=2, using 4 rectangles.

Q: Use the shell method to find the volume of the solid generated by revolving the plane region about…

A: To find the volume of the solid generated by revolving the plane region bounded by the curves  and…

Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

A:

Q: a b = A= B B = b Note: Triangle may not be drawn to scale. Suppose a = 8 and c = 11. Find: с A…

A:

Q: The Fourth Gate You arrive at the fourth gate, feeling confident in your skills. "It is a good thing…

A:

Q: Effect of Capital Expenditures on GDP An economist has determined that a certain country's gross…

A: given function we need to find the change in f(x) when x changes from 259 to 264.

Q: In(e-7)=7 O True O False

A: We have to slove above ln question