=        y =        z = t (b) Find the angle in degrees between the planes. Give your answer correct to one decimal place

Q: a) Explain what a trigonometric identity is. b) give an example of a trigonometric identity, and c)…

A: Solution a: Trigonometric Identity: Actually, trigonometric identities are the equalities, which…

Q: Copy of Let P(x) means "x is a freshman" and Q(x) means "x is a math major". Write the statement…

A:

Q: show that every simple finite graph has two vertices of the same degree

A: Solution: Suppose G is a finite simple graph with n vertices.  Since G is simple, no vertex is…

Q: (10) Write each of the following sets in the form of listing its elements (i.e. in the form {a,b,c}…

A: What is Power Set: Power set is very significant in set theory. Every set has a subset. Two improper…

Q: Radius is √5 and passes through the points (-4, 2) and (-3,-1)

A: Hint :  The standard form of a circle is given by, x-h2+y-k2=r2 .....(1) , where h,k is centre and r…

Q: Determine the roots of f(x) = -12-12x+18x² -2.75x³ a. Graphically b. Using Bisection Method c. Using…

A: Sol:- -12-12x+18x2-2.75x3=0Write in the standard form anxn+… +a1x+a0=0-275x3+1800x2-1200x-1200=0Find…

Q: Q2. Solve the differential equations Leibnitz linear egalation method. (i) (1-x²) dy - xy = = dz

A:

Q: g(x) = ex + 1 0 2 e'e'g(t) dt

A:

Q: Determine algebraically whether the function or neither. f(x) = COS sin z +3x is even, odd,

A:

Q: 7. A 3D transformation matrix is representing the scaling and rotation around Y axis. Find out the…

A: 7. Hint: Any of the number of independent quantities required to express the values of all the…

Q: Determine whether the graph shown hasdirected or undirected edges, whether it has multiple edges,and…

A: We know that ,  When a graph has an ordered pair of vertices it is called a directed graph. The…

Q: A square loop of side a recedes with a uniform velocity u,a, from an infinitely long fila- ment…

A: Given- A square loop of side a recedes with a uniform velocity u0ay from an infinitely long filament…

Q: Round off to two decimal place dy doc a) Let y = 6². Then X=4*0.5= b) Let go be the linear function…

A: (a) y = 6x       => dy/dx  = d/dx (6x)                          = 6x ln 6 [ln = log with base e]…

Q: Give 2 characteristics that indicate a linear model may be appropriate to model a data set

A: In bare eyes, it is not so easy to identify or tell whether a linear model is appropriate to model a…

Q: 6. There is a function x (t) = 2-3t+(10)t² a. Make a {t, x(t)} axis and sketch this function on some…

A: Here the given function is x(t)=2-3t+12(10)t2 We have to sketch the given function and  we have to…

Q: Calculate Sf(F(t)) | (t)) dt f √ √ √x + 1 (x+y+z) ds where C is the helix r(t) = (cos(t), sin(t),…

A: What is Line Integral: A line integral in mathematics is an integral in which the function to be…

Q: 4 -2 End Behavier As x-∞, f(x) (0,1) #∞ As x, f(x)➡ 0 (0.634. 1.348) 2 4 (2.366,-3.848) #-∞ ::…

A:

Q: What percent of a cup is 6 tablespoons

A: We know that  1 cup = 16 tablespoons

Q: Explain Determinants? Illustrate the determinants of 2 x 2 matrix?

A:

Q: Select all the valid argument forms. OP→→q 9 .. P pV¬q 9 .. P O pv q q .. -р

A:

Q: Use separation of variables to find any solution to the partial differential equation uxt-x²e4t

A:

Q: Explain the difference between "Mathematics In Nature and Nature of Mathematics" with examples.

A: Hint: Here we need to discuss about the topic mathematics in nature and nature of mathematics.

Q: Find X(Z) if X(K)= K=1,3,5,7 This means that its value is an odd number X(Z) = X(K)Z-k 100 k=0 Let…

A:

Q: Find X(Z) if X(K)=(-¹* K=1,3,5,7 This means that its value is an odd number X(Z) = X(K)Z-k Let…

A: What is Z-transformation: In math and signal processing, the Z-transform converts a time-domain…

Q: a z = 4x³-6x²y²-y com x= 2sen(t) y=-3cos(t) e

A: #As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Problem 6: Using contour integration and Jordan's lemma, verify that for any a, b>0 L x sin(ax) x²…

A: Given : a>0 ,a>b To verify : ∫-∞∞x sinaxx2+b2dx=πe-ab

Q: 3. Suppose f(x)=√x-3 and g(x) = x² +5. Which of the following is a formula for (fog)(x)?

A: Given, fx=x-3 and, gx=x2+5

Q: (b) Write the following vectors as linear combinations of 21, 22, and 23.

A:

Q: Let G be an undirected graph with a loop at every vertex.Show that the relation R on the set of…

A: Given: A graph is G is an undirected graph and has a loop at every vertex. To prove: The given…

Q: Ex: Find the F. T. of the periodic rectangular pulse shown below X(t) Sols -To Cn=c -212 1 1/1 (n =…

A:

Q: Solve in digital format 2. Demonstrate by the method of mathematical induction, the Binomial…

A: We need to demonstrate by the method of mathematical induction, the Binomial Theorem. a) What is the…

Q: it mean, graphically and algebraically, for an equation to be even or odd? How would you check?

A:

Q: Draw the acquaintanceship graph that represents thatTom and Patricia, Tom and Hope, Tom and Sandy,…

A: Acquaintanceship graph: It is a model used to represent the relationship among people. We use a…

Q: orthogonal to the vector y = (2)? You may want to go through the proof of When is the vector x =…

A: Here,        x = (3, 4)T       y = (-4, y2)T x and y is orthogonal if xTy = 0.

Q: 2. Find the general solution of the differential equation. Then, use the initial condition to find…

A: Given differential equation y'-4y=6e4x Initial value is y0=0.

Q: Find X(Z) if X(K)= K=1,3,5,7 This means that its value is an odd number X(Z) = Σ-o X(K)Z−k Let…

A: Given X(K)=12k, k=1,3,5,7,...             (1) Here X(Z)=∑k=1∞X(K)Z-k             (2)  Note*   here k…

Q: What is the estimated revenue of Amazon in 2077? ____________ billion US dollars.  Round to the…

A: Given: The below table is given: Year (x) Revenue (y) 2020 386.064 2019 280.522 2018…

Q: I don't understand, could you write it on paper

A: Sol:-

Q: (5) Describe and sketch a picture of the solid whose volume is represented by the integral (a) π *…

A:

Q: Find the particular solution of y2dx + x(x+y) dy=0., when x=1, y=1. Let x=vy

A:

Q: 1. Estimate the volume of the following solids by Riemann sums m a) The solid lying below f(x, y) =…

A: What is Riemann Sum: Remember how, in single-variable calculus, we added the areas of rectangles…

Q: EX: Find all residues of f(Z) = Sol: f(z)= Y₁ = 50 Z (Z+4) (Z-1)² [ 50 Z 32²² +42-7JZ=-4 50 Z 2²³…

A:

Q: Consider the slope field shown. (a) For the solution that satisfies y(0) = 0, sketch the solution…

A:

Q: Determine the roots of f(x) = -1 - 12x + 18x² 2.75x a. Graphically b. Using Bisection Method c.…

A: Given function is fx = -12 - 12x +18x2 -2.75 x3

Q: A soup can has a diameter 2 7/8 inches and a height of 4 3/4 inches. How many square inches of metal…

A:

Q: sin(z) Q5: A- Find § [z²ez + 3(z-7)3] dz,C: |z| = 6 B- What is a Laurent series? Its principal part?…

A:

Q: What percent of a gallon is a pint?

A: We know that  1 Pint = 1/8 gallon

Q: write the following vectors as linear combinations of e1, e2 and e3

A: What is Linear Combination: For a given vector v∈VF, it is referred to as linear combination of…

Q: Describe how equivalence classes can be used to definethe rational numbers as classes of pairs of…

A: To Describe: How equivalence classes can be used to define the rational numbers as classes of pairs…

Q: Q3: Suppose that a periodic signal is defined as 2 j5 q(t) = cos(3лt) Σ (k+j1.5) ej8nkt k=-2

A: From a periodic signal we have to check that the given signal is real valued or not.. Find…