3. f(1) = {; - 1 lt – 1 t < 4 t> 4

Q: 4) Define the variables a,b and c as: a=5, b=-5, and c=2a+b Evaluate: ба a) ab+ ac - b. b) abla

A: Some of the properties of indices and surds  an= a·a·a......n times a0=1 abac=ab-c

Q: Find two numbers whose sum is 20, if the product of one by the cube of another is to be the maximum.

A: For stationary value of a function y = f(x),   y' = f'(x) = 0  A function y = f(x)  is said to have ...

Q: (a) Give an example of a series with nonnegative terms where > ak diverges but E a% converges. k=1 k...

A:

Q: 34. S- (1, 1, 1), (2. 2, 2). (3, 3, 3) 34

A: Linear dependence and independence

Q: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of la...

A: P(x,y)=96x34.y14 Labor cost =$144 Capital cost =$1875 cost =144x+1875y  

Q: Select all of the linear transformations from R³ to R° that are invertible. A. Projection onto the x...

A:

Q: V = \ + 855-t Prove that act) = 32

A:

Q: If Y and Y are the first and last column vectors in the inverse of a [1 -1 2] matrix A = 0 3 2 then ...

A:

Q: Problem 3: Consider the functional: I = /1+yr2 dx. y a) Find the Euler-Lagrange equation, which mini...

A:

Q: Let:  z1 = 1 – j3  ;  z2 = -2 + j5  ;  z3 = -3 – j4  ;  z4 = 1 + j6 Determine & create Argand diagr...

A: The given problem is to evaluate the given complex expressions from given complex values and create ...

Q: .2 then the value of x

A:

Q: 1. What is the derivative of f(x) x2 - 8x + 12 when you illustrate using tangent? dy/dx=2x+8 dy/dx=2...

A: Derivative of the function

Q: The curve has an equation of x^2 + y^2 = 25. Find the length of arc from x = 3 to x = 4. * O 3.44 un...

A: For a curve y=f(x)  Arc length = ∫1+y'2 dx   Given curve is x2+y2=25⇒y2 =25-x2⇒y   =25-x2 differenti...

Q: ber of linearly

A:

Q: Spanning Sets In Exercises 19–24, determine whether the set S spans R³. If the set does not span R³,...

A:

Q: Given the argument: All dogs are animals. Some dogs are hairy. Therefore, all animals are hairy. Wri...

A:

Q: 10) Evaluate gF (5)) 11) How many gallons of water are in the pool after 3 days?

A: Let f(x) computes feet of water in a pool after x days and g(x)converts cubic feet to gallons

Q: 4\14 in simplest form

A:

Q: 6. Let V = span{1+x²,x}. Two ordered bases for V are Si = {1+a², x} and S2 = {1+x + x², 2+ x + 2a²}....

A:

Q: Consider the argument below: "If you complete your computer training, then you can be eligible to wo...

A:

Q: Find the least-squares error E for the least-squares line, y= 1.8x +3, fit to the four points in the...

A: From the figure, the data points are: x 1 2 3 4 y 3 7 9 9 Least square line for the above da...

Q: An important and very useful exact differential to (2y² +2x² +y]dx - xdy = 0

A:

Q: Let S be the solid with base given by the triangle in the ry-plane with vertices (0,0), (1,0), (0,3)...

A: The complete solutions are given below

Q: Let W be a subspace spanned by the u's, an

A: Given, W be a subspace spanned by u's, and write y as the sum of a vector in W and a vector orthogon...

Q: THIS IS MATH HELP. I SUCK AT MATH. I'll rate asap Give an example of a real life problem that invol...

A:

Q: Write expoential Fourier transform of f(x) = e-l*l.

A: We need to find Fourier transform of  fx = e-x We know the formula for Fourier transformation of  f(...

Q: Question 18 If f and 8 are continuous function of *, which of the following is true? A (x) dx (x) dx...

A:

Q: express     n-1 Σ((k^2)/n) k=1   in closed form.

A: The given question is related with closed form of finite sum. Given that,                      ∑k=1n...

Q: 1. lo' exp(exp(x)) dx

A: As per Bartleby guidelines i can answer only one question, kindly upload rest question seprately Tha...

Q: What is the exponential form of the complex number 4 + 3i A) 5eba, 13 B) 5ebs,a7e © 7e5z, 12 D 7e b6...

A:

Q: Consider the convex optimization problem minimize ||x| xĘR? subject to 2xı+ x2 > a, where a is an ar...

A:

Q: QUESTION 12 Symbolize the following argument using the variables p, q, and r. Then construct a compl...

A:

Q: Given the parabola f (x) = - 4x² – 12x + 8. Find the value of f(-5). Find the vertex of the parabola...

A:

Q: Let A = {2, 3, 4} and B= {6, 8, 10} and define a relation R from A to B as follows: For all (x, y) ϵ...

A: Relation: A set is a ordered pair  is defined as a relation Let us consider the set A and B , then t...

Q: Grace's garden is shown below.  She needs to buy bags of mulch to cover the garden.  What is the mea...

A: Measurement needed=Area of Triangle+Area of rectangle+area ofsemicircle=12×18×18+18×8+3.14×9×9=162+1...

Q: . Using the definition of Riemann Integrability, show that f(x) = 4.x – 1 is in R[-1,2].

A: This is a problem of R-integrability.

Q: 1 e* dx PROBLEM 2: J: 2 Inx e"dx PROBLEM 3 : PROBLEM 4 : re-3x²+1_ dx хе 4x PROBLEM 5: J Ine

A:

Q: QUESTION 1 Simplify the expression q p ^ q) to include no implications. State each law that you use....

A:

Q: Which equation represents the line on the graph? A x = 5 %3D В у%35 C y = x D y=x + 5

A: Let us consider the general equation of line ax+by=c  Case-1 If  for all x , y=0 then the equation o...

Q: Let V = R^n be the real vector space that is spanned by {e1, . . . , en}. For each 1 <= r <= n let V...

A:

Q: Find all subgroups of S and its subgroup graph.

A: We will use basic knowledge of groups and abstract algebra to answer this question correctly and in ...

Q: Twenty students in a group of 40 at UB High enrolled in Science. Eleven students enrolled in Latin. ...

A:

Q: Question 1 of 4 Assume that we have 6 manifest variables and 3 factors. The communality of F3 on var...

A: Given: Let us determine the communality of F3 on variable Z4 from the given following, A.γ234 B.γ34 ...

Q: Calculate the surface areas of the following and draw and label the dimensions: a. Triangle b. Trape...

A: We are only allowed to solve up to three sub-parts. So, we will answer only the first three subparts...

Q: Exercise 8.8.5. For each of the examples in Exercise 8.8.4 which are groups, prove or disprove that ...

A: Please find the answer in next step

Q: Let = be an equivalence relation on a set A. For every element a E A, let [a] denote the equivalence...

A:

Q: Determining Whether a Set Is a Basis In Exercises 51 and 52, determine whether S is a basis for M22....

A: Remark: Let V be a vector space of dimension n. A set of vectors S that containing n vectors is call...

Q: Which of the following show/s the Euler diagram/s for the argument below? "All runners are athletes....

A: We have to find the Euler diagram of given argument.

Q: @ f=ytanh(x)

A: Please upload questions with multiple subparts separately.

Q: 12 7 3 22 For 1 5 2 7 -11 || X3 1 7 and using [x, x, x3]=[1 2 1] as the initial guess, give the - 2 ...

A: