5, (1) Find the eigenvalues and the eigenvectors of the matrix A = %3D 3 -2

Q: se the cross product to find an equation of th (3. 4.-1) 32. (a. b.

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Q: A table of values for f, g, f ', and g' is given. f(x) g(x) f '(x) g'(x) 3 2 4 2 1 8. 7 3 2 9. (a)…

A: Consider the table

Q: Quly Please Solve the tollowing the paots of gntegoation dt 2 t#3 2t+1 dt (モ+4)t+2) (= हवंये स

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Q: A triangle has side lengths of 40 and 26 and an included angle measuring 38 degrees. Find the area…

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Q: Solve the differential equation Q1 y" - 3y' + 2y = 0 when y(0) = 1, y' (0) = 0 %3D %3D

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Q: 1. Write z = 2/2 +2/2i in polar form. Oz = 42 cos +isin 4 Oz = 4 cos-+isin 57 Oz = 4 cos +i sin 4 4…

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Q: Find the value of the summation. 3 E+3)3D

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Q: 3. Given and z2 =? 57 +i sin Z1 where 0se< 2x . 4 = 12 +i sin find cos+i sin 2 37 O 1= 9 cos +isin…

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Q: Evaluate the Following limts 9-X VX-3

A: We can evaluate the limit as below.

Q: A shot leaves the thrower's hand 6.5 ft above the ground at an angle of 45° at an initial speed of…

A: To find the position of shot 3 seconds later.

Q: Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot with…

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Q: The antiderivative of the function f(x) = +1lc is T2 -5 + 22.0x? + c -5 +5.5x2 + c -11 + 2.5x? + c 5…

A: I have stated the used formulas in the solution.

Q: Evaluate the iterated integral " (3x + y) 2 dyda

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Q: 2r? xp : Vi – 4x³

A: The objective of the question is evaluate the indefinite integral.

Q: A person standing close to the edge on top of a 48-foot building throws a ball vertically upward.…

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y =…

A: On solving this we will get

Q: Find the Maclaurin series of the function. f(x) = In (1 – 6x) - Choose the Maclaurin series. 6"x" In…

A: The given function is: fx=ln1-6x The objective is to find the Maclaurin Series for the given…

Q: 4x + 1 x + 5x a. lim 8x - x - 6 x ( 3x - 4) b. lim Зх + 9 3x 4x - 7 lim С.

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Q: In x cot x 6 ) Tim

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Q: Find the Maclaurin series of the function. x2 f(x) %3D 1- x7

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Q: In A ABC, we are told that c = 8, C = 59°, and B = 46°. Find b. Round to the nearest hundredth. A…

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Q: Find the tangent plane at P = (xo, Yo, Zo) = (1,2, 8) to the graph of f(x,y) = 2x?y+ y² %3D

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Q: 2) Vy + 2x = (e – 1)3

A: Given query is to find the derivative of the expression.

Q: Evaluate the integral (ycoS z + 1) dydz.

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Q: esin(x) +1 esin(x) – 1 3) у 3

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Q: 12. The graph below represents a periodic graph. y 5+ 10 12 14 16 4.

A: Topic = Functions TRUE

Q: Find dy at (x, y) = (TT, T) for sin (xty) = 2x-ay %3D dx

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Q: Evaluate: (12t3-9t2 + 7)dt

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Q: V3x+1(4x+1) (1– 2x)* Calculate y: y=

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Q: Q1- Find the maximum vate of change of Rexy) t -ツ fcxy) = Xe fCxg) = Xe at the point (e,o) %3D

A: Given problem:- Find the maximum rate of Change f(x, y) = xe-y at point (2,0)

Q: For the given function find: a) The intervals on which fis increasing, b) The intervals on which fis…

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Q: Problem #3 Find intervals on which f (x) = -3x² + 54 In x is increasing and decreasing

A: Topic = Function

Q: Exercise 2: Write an inequality or pair of inequalities to describe the possible values of x. Then…

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Q: The antiderivative of the function f(x) = 4 + 10x is + 5.0x? + c 4 5.0r? +c 4 + 20.0z? + c + 5.0z?…

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Q: Evaluate the integral. (Use C for the constant of integration.) dx 3 - 3x9

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 5y2 + 4, (3, 4) %3! Vf(3, 4) =…

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Q: Find the key numbers of the inequality. (Enter your answers as a comma-separated list.) 25x3 – 49x2…

A: Given: 25x3-49x2≤0

Q: (6e² + 6z+4 cos z+2)dx %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(s) :…

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Q: The populations P (in thousands) of Horry County, South Carolina, from 1971 through 2018 can be…

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Q: 3 The antiderivative of the function f(x) = + 9x is x2 -3 4.5x2 + c 3 + 18.0a? + c 6- + 1.5x + c 3 +…

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Q: Find the volume of the regular hexagonal pyramid shown below, and then answer the following…

A: We have to find the perimeter of the regular hexagonal base, the measure of the apothem of the…

Q: Question 8 The function f has first derivative given by f'(x): What is the x-coordinate of the…

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Q: f(x) = x² + 2\ – 100 I need to arrange the equation so that x is on one side and the rest of the…

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Q: ) f(x) = In(Vxe2x)

A: Given query is to find the derivative if the function.

Q: Let A = 1 a. Find the matrix product A'A b. Find the determinant |A'A| c. Find the inverse (A'A)-1,…

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Q: Given the triangle below, find the exact value for sec(@). 13 12

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Q: What are the critical numbers? State the intervals of increase/decrease to classify as either local…

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Q: Find the limit of the 4 n + 2 sequence lim . Show your work. V2 n+4 n- 00

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: x - 2 lim find lim 9 (x) + a. Let g (x) = t. 9 (x). lim find lim h (x)- 17 + 2x Let h (x) = b. x -…

A: a) gx=x2+x-2x2-xb) hx=17+2xx2-2x+1