TASK 1: Area and Perimeter Use the five pentominoes cutout shapes on the next page to answer the questions below. NOTE: The side length of each square that makes up the pentominoes is 1-unit, the perimeter of the square is 4 units and the area of the square is one square unit. a. Find the area and perimeter of each of the five selected pentominoes below. What patterns do you notice? b. Using all of the five shapes below, put the pieces together to create the shape with the smallest perimeter. C. Using all of the five shapes below, put the pieces together to create the shape with the largest perimeter. d. Of ALL of the pentominoes (12 total) which has the largest perimeter and which has the smallest perimeter? Draw the shapes that you created. Carefully explain your answers to show your conceptual understanding of the content by providing a justification for someone that might not understand the problem. Provide a strong, detailed explanation with enough detail, use of precise vocabulary that is clear and edited. Also, make sure you show your understanding of the relationships in this problem and identify generalizations in a clear manner. Lastly, provide a reflection that discusses and critiques your process in completing the assignment including different attempts, wonderings, mistakes, and alternative solutions and explanations. I N V L N

Q: .3 1 dx=? 2 x² – 4x+5 Hide answer choices a A 4 4 C 1+ B

A: Calculate the definite integral in the following way:-

Q: Find m Z EFG. A BC D HX-6 E 3X+3

A:

Q: _X_n- Evaluate CxP q 2 n = 4, x=4, p = 7 _n-x Cnxp q-x for the values of n, x, and p given below.…

A: Given: n=4, x=4, p=27To find: The value of Cn, xpxqn-x.

Q: Find u · v. u = 8, 2 v = −7, 3 u · v =

A: A dot product is also called Scalar product , is a way of multiplying two vector quantities to…

Q: E D H J C B EA FG DC

A: Consider the figure

Q: find u ·v.

A:

Q: Evaluate e for z= 2ri. O 1+i Oi

A:

Q: Let R = Z36. Finda. N(<0>). b. N(<4>). c. N(<6>).

A: In the given problem, R = Z_36 represents the ring of integers modulo 36. The elements of R are the…

Q: 5 В 3 Б y O Ох=2 О 0 y= О 15 4 3 - у= 4 y= Ox=3 9 11 3 4 15 4 5 4 15 4 C

A:

Q: Evaluate. [cos³ z sin x sin³ x dx

A:

Q: evaluate Cn,x px qn-x for the values of n, x and p given below. n= 4, x=1, p= 1/2

A: The given expression is a binomial distribution with n = 4, x = 1, p = 1/2.

Q: Evaluate using integration by parts. 1 0 7xe5x dx

A:

Q: Given d = and ā = , find 5d – ā.

A:

Q: 9.) S -1 3x²+2x +0 x + 2 da

A: I=∫−11(3x2+2x+1x+2)dx

Q: x singe dy dre

A: We will use simple integration rules to solve this question.

Q: cheyon ne mcoonald Find m Z EBC. 3X C

A:

Q: Let ā = (−4, −5, −3) and 6 = (-5, −4, 4) Find a × 6. V >

A:

Q: M = 9, S = 3 X ximmoi 3 7 9

A: Given that,M = 9s = 3 we need to find the z score for each of the following.we know the formula for…