Solve the following using Cramer's rule: (Show your solution) 6.r y = 0 2x 4y 1 { (c)

Q: Use a graphing utility to sketch the intersecting graphs of the equations and determine whether or…

A: topic- equations and their slopes

Q: Q2: Evaluate the following integrals? 1) [ cos¹x dx 2x dx 2) S (x-2)² (x+2) 3) S: dx

A:

Q: Find the maximum and minimum values of the function ㅠ g(0) 60 7 sin(0) on the interval 0, = Minimum…

A:

Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: ou are given the polar curve r = cos(0) + sin(0). a) List all of the points (r, 0) where the tangent…

A: Let's solve. Given polar curve equation.

Q: Consider the differential equation y 4xy (In y)² Find the solution that passes through the point (0,…

A: The given data is: y'=4xy(lny)2  To find the solution that passes through the point (0,e)

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A:

Q: derivative of y = e(sin⁡x) − sin⁡(ex)8

A:

Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: Find an explicit description of Nul A by listing vectors that span the null 1-4-20 A= 0 0-10 0 A…

A: In order to find the explicit description of NulA we have to find the solution of the system Ax=0…

Q: 3. Let B=(2,4,6,8,10), C=(4,8, 10), and D= (xxis even). Answer the following questions. Explain (a)…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Q1: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A:

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6…

A:

Q: The function y = a. O a=3 O a = -2 ax4 +has a minimum at the point (√(√)). Determine the value of…

A: Use derivative and find maximum or minimum value

Q: The task is to set up an iterated triple integral equal to the volume of H using rectangular…

A:

Q: The fox population in a certain region has a continuous growth rate of 4 percent per year. It is…

A:

Q: Use a double integral to find the volume under the plane z = 2x + y and over the rectangle R = {(x,…

A:

Q: Evaluate the following Integrals 1. f 5 dx 2 ledr

A: We have to find the integral

Q: Find the volume V of the solid E enclosed by z = 9-y², z = 36-x, x = 0, and z = 0. (Give an exact…

A:

Q: Use a triple integral to find the volume of the region bounded by 5x + 6y, z = 7, and the planes x =…

A:

Q: Find the derivative of ƒ (x) = 8ª ln (x).

A:

Q: What is the derivative of y = sinx x³ ?

A: Given that,   y=sin xx3

Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = (a)…

A:

Q: • show that ф (x, y, z) = 8²4 PDE: аф + дуг дуг x2 +у2 +Z2 го деф ?72 satisfies the

A: The given function is;  Phi(x,y,z)=1/sqrt(x2+y2+z2).

Q: The derivative of f(x) with respect to x is the function f'(x) and defined as f(x+h)-f(z) f' (z) =…

A: topic- derivative of a function

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. - eu du (6 - e4)²

A: topic- indefinite integral

Q: An open-box (top open) is made from a rectangular material of dimensions a = 8 inches by b = 6…

A:

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

A:

Q: Solve simultaneously x (t) + x' (t) − y (t) + z' (t) = 4 y' (t) + z(t) = 0 2x(t)+y(t)+z(t)=0 where x…

A: Given the system of differential equations x(t)+x'(t)-y(t)+z'(t) = 4  ......(1) y'(t)+z(t) = 0…

Q: A plane contains the point A(-1,2,5) and has direction vectors (2,-1,3) and (-3,1,5). Which of the…

A: Given:   Point : ( -1 , 2 , 5 ) Vectors : ( 2 , -1 , 3 ) and ( -3 , 1 , 5 )

Q: Live of y = e(x+ln x) cive of ƒ(x) = 5x6 – sec jye of y = e(sin x) e(sin x) - sin(e

A: We have to find the derivative of the given function

Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = r (a)…

A:

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

A:

Q: 5 1 Let f(x)= = on the interval [1,4]. For a E (1,4), construct a rectangle from x = 1 to x = a with…

A: Maximize area

Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

A:

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 3x)y², y(0) = = 2…

A:

Q: [Select] 3x²+3 ³+3x-4 3x² +3 In{³+3-4} 1 ³+30-4 1 In{³+3x-4} 32-4) A. f'(2) 6.51 B. f'(2) = 1.5 C.…

A: Given function is  f(x) = ln(x3 +3x-4)  20) find derivative of f i.e. f'  22) find f'(2)

Q: Put the equation that is in general form: y = x² + 22x + 112 into standard form: y = (x − h)² + k:…

A:

Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... for…

Q: y = 4x² from x = -3 to x = 3.

A:

Q: hand written plz 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = (a) Sketch…

A:

Q: The growth in the population of a group of rabbits is given by P(t)= 800e0.08t, where P is the…

A: use derivative for finding the instantaneous rate

Q: 2 show that V(x, y) = x 'f (2x+y) is the general Solution of : Xav dx 2x du ду = V

A: We can show given function is a solution of the given equation .

Q: e Sc (4x + 3√y) c Evaluate figure. ds where C is given in the accompanying CH 1- (0,0) y=x O (1,1) X…

A:

Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

A: Given:  Amplitude = 4   Period = 2π  POINT : ( 0 , 2 )

Q: Use the Fundamental Theorem of Calculus, Part 1 to find the derivative: d •√x (t² + Int)dt dx Sa

A: First I have written the Fundamental theorem of Calculus and using it for given problem and find the…

Q: Define as the region bounded by the functions u(y) = √5 + 1 and v(y) = 1 between y = 1 and y = 2.…

A:

Q: Consider the basis S - (V₁, V₂} for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

A: