Find for the given function. dz? w= 10z2 ez dz 2)

Q: -Tt/2 Evaluate using Wallis' Formula: 7 sin5 x cos6 x dx

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: 2. S 2x5 Vx – 2 dx

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Q: У7-"(10т — 1)" —п n=0

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Q: Find the area of the triangle with vertices P(1,5, –4), Q(0,0,0) and R(2, 3, 1). NOTE: Enter the exa...

A: Find your answer below 

Q: Consider the function: f (x) = x³ + 3x2 – 45x + 3 Step 1. Find the critical values of the function. ...

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Q: Find the volume of the solid generated by revolving the area bounded by x2 - 2kx - 2ky + k = 0 and 2...

A: Given curves are:  x2-2kx-2ky+k2=0 2x-2y+k=0 The area bounded by them is revolving about the line x=...

Q: find the range of the function f(x,y) given the function and domain. f(x,y)=x/y, D={(x,y): 0x}

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Q: Choose the statement that best describes this graph. Time O a) The stock price has decreased steadil...

A: . d) The stock price has fluctuated over the last week.

Q: Evaluate the moment M, and My of the region bounded by x- 2y - y? and the y-axis.

A: Given area is bounded by x=2y-y2 and y-axis.  On the y-axis, x=0. We try to find the point of inters...

Q: Activity 2: Determine the absolute extrema of the function f(x) = x - 12x on [0, 4]. %3D Show comple...

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Q: "/2 cost x dx "/4 sin6 x

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Q: The radius of a right circular cylinder is increasing at the rate of 3 inches per ninute and the hei...

A: Given:The rate of change in radius =3 in/mThe rate of change in height =4 in/mThe radius =9 The heig...

Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

A: This question is based on summation problem.

Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point ...

A: The Parametric equations of the line are the components of the vector equation , and have the form  ...

Q: Express the integral in terms of the variable u, but do not evaluate it. eS-4 dz; u = 5z – 4 NOTE: E...

A: ∫01 e5x-4dx  here change the variable x to u u = 5x -4 du/dx = 5 dx =du/5 limit is change from  if x...

Q: Find the volume of the solid generated by revolving the area bounded by x² – 2kx – 3ky + k² = 0 and ...

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

Q: Activity 1. Solve for what is asked. dy 1 1 1. Find :+= = 8 dx y 2. Find : x²y2 – 2xy = 8 dx 3. Find...

A: Differentiate with respect to x.  According to guidelines we solve only first three parts. 

Q: G(t), of the function g(t) = (2n?t? - t)V2n2 – t?. %3D

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 3. What is (Sin (6x)}? 4. What is (Cos (x²) dv 5. What is (tan x³) dx 6. What is (In x)7

A: we use the chain rule to find the derivative of the given function 

Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and trace...

A: Identify and sketch the surface of the following equations1. 4x2-3y2-2z2=02. 25x2-100y2+16z2=-400

Q: Average Rates of Change Use each graph to estimate the average rate of change of the percentage of n...

A: We need to find the average rate of change for the given graphs.  

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 3ky + k² = 0 and ...

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

Q: Consider the points A(3,-3, 3), B(4, –5, 1), C(-2,-4, 1), and D(6,3,-5). (a) Find the volume of the ...

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Q: The construction firm where you are working as an engineer plan to build a tunnel whose arch is in t...

A: The arch of the tunnel is in the shape of a parabola.Let road be the x-axis And given tunnel is 12m ...

Q: f) {1,0,–1,1,0, –1,1,0,...}

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 4(x² – ...

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Q: Find the vector component of v = (4, 7) along b = (2, 6, –9) and the vector component of v orthogona...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: This question can be solved as per the instruction given.

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high...

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: xcscx g(x) : 3-cscx

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Q: 8. On a warm day, the temperature of a room is 23°C. A biological sample is taken from cold storage ...

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Q: ( a) Σ-1"+1, 2η+2 Vn3 + n2 + n n=1 ,2η n2n (b) en3 n=1

A: Given

Q: 2 A spherical snowball is being made so that its volume is increasing at the rate of 8ft³ jmin/ Find...

A: This is a problem related to the volume of the spherical snow ball and change in rate. By using conc...

Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint ...(1)y=1-sintdydt=-c...

Q: dy then dx sin x If y = 1+ cos x ||

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Q: A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the ra...

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Q: x* + ах — 2bx — 2аb — хз — 2ах* - 2bx? dx х4 + аx3 — 2bx3 - 2аbx?

A: I=-∫ x3+(2b+2a-1)x2+(2b-a)x+2abx2(x2+ax-2bx-2ab)dxI=-∫ x3+(2b+2a-1)x2+(2b-a)x+2abx2(x+a)(x-2b)dxPerf...

Q: 12. Given f(x) - -5Vx + 2 and g(x) = vx+ 6, what are the restrictions on the domain for th 12. Given...

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Q: 6. Given f(x) =x° and g(x) = x, sketch h(x) = f(g(x)).

A: As you mention question no. 6 solved

Q: 17. Find the cartesian equation of the parametric curvex =1+e²*, y= e'. (a) z² = y? – 1 (b) 7 = x² –...

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Q: Find the derivative of the follo solutions. 1. What is (5x +3)4? dx 2. What is 4 (x2 – 3x)5? dx 3. W...

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Q: Let a = ci + j and b = 8i + 15j. Find c so that the angle between a and bis Round your answers to fo...

A: To find the value of c

Q: х dx e 2

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Q: Identify which below is a separable Ordinary Differential Equation 2xy a. y': х(у — 1) — у dy _x+ y ...

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Q: Evalunte the Indefinite Integral by Integration by part |(x- 3)e" dx

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Q: g(y) = y3 dy y 4 3+ 1 4 6. 8

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Q: Which of the following equations is an exact DE? O (10x^2 +5)dx-20xydy%3D0 O (2xy-3x^2)dx+(x^2-2y) d...

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Q: Find S z? sin z dz

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