■ Show that the area of the triangle whose vertices are the [X1 У1 points (x₁, y₁), (X2, Y2) &(X3, Y3) is A A==|de|| det X2 Y2 LX3 1]

Q: Give the domain and range. Then, use the graph to find (a) f( − 2), (b) f(0), (c) (1) and (d) any…

A: From the graph, notice that the function is defined on the interval -2,4and it takes value on the y…

Q: 24\x² dy_ (xy + y²) dx = o

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Q: 2 Let f(x) = 4x² - 3 to find the following value. f(t+1) Don f(t+1)=

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: If the equation of the conic  is Ax²+Bxy+Cy²+Dx+Ey +F=0 ,then  If B²-4AC > 0 then the conic is…

Q: Consider the vector v between (-2,-5, -3) and (5, 10,7). The vector vis The length of vis If the…

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Q: Find the first derivative of sin x y = In 1+2 In x x cot x-2(In x) cot x-2 x(1+2 In x) x cotx+2(In…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2 IF □ is defined by ▼ ах functions and A&B are differentiable Show that • (A+B) = √•A + V•B. = it 2…

A: Please see the below picture for detailed solution.

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: form: 2)If z=(2√3-2i)² then the angle 0 in polar 71 117 6 6 خیار 1 117 3 خبار 2 خبار 3 O

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Q: Solve the following differential equations of 3x d'y dx² +9y=2e³x +18x+18

A: We need to solve D.E.

Q: cel You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour)…

A: This question is related to distance and speed, we will solve it using given information.

Q: For which of the series below the Integral Test can be used to determine whether the series is…

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Q: 33° 45° 87° 60° 35° 30° Drag each reference angle above to the corresponding angle below. Answers…

A: Given :(1) 93° (2) 215°(3)-150° (4)-60°(5)765°(6) 480°

Q: Find the points on the cone z² = x² + y² that are closest to the point (-5,4,0)

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Q: (6) Solve the following differential equations of 1 -(- ´, ny)dr = 0 y j 21 ...... (y-xy) dx + xdy =…

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Q: Determine the equation of the tangent to the curve y = x - e^-x that is parallel to the line 6x - 2y…

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Q: Find the volume generated by revolving the given plane area about the given line, using: I. Sketch…

A: Explained below

Q: Given points P(2,1,3) , Q(1,2,1), R(-1,-2,-2) and S(1,-4,0). Find the shortest distance between…

A: We will use

Q: The graph of the function y=f(x) is below. f(x) N C X B From largest to smallest, what is the order…

A: We have to answer given Questions.

Q: 3) Cindy will require $18,000 in 7 years to return to college to get an MBA degree. How much money…

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Q: √x²+25 - dx= x X=5secØ and Ø = sec الخيار رقم 1 0 X=5tan and Ø = tan-¹) X=5sinØ and Ø = sin ||| خيار…

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Q: At what point(s) on the curve x = (x, y) = 6t² + 4, y = t³ - 7 does the tangent line have slope?

A: This question is related to parametric curves and slope of tangent, we will solve it using given…

Q: 4. Find the area bounded by y=√11-x, the lines 3x-2 and x = 10 and the x-axis.

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Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: 2x² +9 x4 + 10x² + 25 dx

A: given

Q: Find the equation of the line tangent to the graph of f(x) = 3 - 2x at x = 3. Provide your answer…

A: The slope of tangent on a curve f(x) at x = a is given by,  m = f'(a)  The equation of tangent on a…

Q: 3- If √secx + 5cosx find y

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Q: 4n+1 -a) Find the sum of this series Σn=071 3x 8-x²-y² b) Evaluate dzdydx

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Q: Find dy/dx for the following function: (3) y = √tan x

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Q: Evaluate the integral f sin²x cos³xdx.

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Q: determine the instantaneous rate of change for the function f(x)=7^x + 9log(x^x) at x=4

A: This question can be solved using the concept of derivative of a function at a point.

Q: Solve the following differential equations of 1-(x+3x³ sin y) dx + (x¹ cos y)dy = 0

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: O cos y (cos x + 1)

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Q: X (A) (2) +²2+ (x²+5)) 2x dx + (x+y)dy = 0 - 40 + (8 +)

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Q: Q5: Find the sums of the following (geometric series): 3n-1 - 1 6n-1 n=1

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Q: Given the function g(x, y, z) = x²y - 4zex+y, find the slope at P(1,0,1) in the direction of the…

A: Here is the solution

Q: Give the domain and range of the graph shown to the right. Then, use the graph to answer parts (a)…

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Q: H.W (5) 4 Solve the following differential equations of -0 -(x² + y²) dx + (2xy + cos y) dy 2 rud 3…

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Q: 5x - 3 √(x+ - 4x³ + 14x² - 20x + 25) - - dx

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Q: Solve: 9 d2y/dx²-24 dy/dx +16y=0; y(0)=3, y'(0)=3 Write the letter corresponding to your answer. The…

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Q: Dr. Zeyid T. 1 Y₁ =D²-²-2-[x²] Yp y, = [−1− D² + ···] · [2x +3] : y₁ = -x-2 P How

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Q: ᴛʜᴇ ᴅɪᴀɢʀᴀᴍ ʙᴇʟᴏᴡ ʀᴇᴘʀᴇꜱᴇɴᴛ ᴛʜᴇ ʀᴏᴏꜰ ᴏꜰ ᴛʜᴇ ʙʀᴏᴡɴ'ꜱ ꜰᴀᴍɪʟʏ'ꜱ ꜰᴀᴍʜᴏᴜꜱᴇ. ᴀʟʟ ʀᴀɪɴ ᴡᴀᴛᴇʀꜰʟᴏᴡꜱ ꜰʀᴏᴍ ᴛʜᴇ…

A: We have to find the total area.

Q: Which of the following integrals is convergent? Select the correct answers. .24 0 of OP 0 2 X dx dx…

A: We have to find which of the following integral is convergent. (a).…

Q: Solve the following differential equations of d²y +9y=2e³x +18x+18 dx²

A: First i I have find the complementary function and then particular solution then adding these two…

Q: Calculate the future value of end-of-month payments of $500 made for 4 years into an investment fund…

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Q: Solve the initial-value problem. xy' = y + 2x² sin(x), y(¹) = 0

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Q: Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is…

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Q: d²y dx² +6 dy dx +9y = 0

A: The given differential equation is;  d2y/dx2 + 6dy/dx +9y=0

Q: 2. Find the Laplace transform Y(s) of the solution y(t) of the initial value problem y"+4y=0,…

A: Apply Laplace transform on both sides

Q: Write an equation for the parabola shown to the right. The equation of the parabola is (Use integers…

A: Given vertex of the parabola is ( 0, -5 )