1 3. f(x) = (-x4-3)2

Q: Determine the largest intervals in which the following functions are continuous. 2 (a) f(x) = 2 – 5x...

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Q: (x – 3)2 (y – 2)? = 1 - Given the ellipse 16 36 Find the center point: List the two major vertices (...

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Q: A data set has n items. The sum of the items is 800 and the mean is 20. (a) Find n. The standard dev...

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

A: Let a,b,c,d are position vector of point A,B,C and D respectively. Therefore, a=2i-3j+4kb=4i-5j+kc=-...

Q: Give The 15T four nunzero Term ot MeSertes aboufx=625.

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Q: Let f (x, y) = 3x – 2²y. x = -t, y = s + 2t dz dz Use an appropriate chain rule (involving , , etc.)...

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Q: (ysin x+xy cos x)dx+(xsin x +1)dy = 0 Ans. xy sin x+y = c

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: 2. Find the area between the curve x= - y +y + 2 and the y- axis.

A: 2) To find the area between the curve x=-y2+y+2 and the y-axis. The region bounded by the curve and ...

Q: of the component of the vector AP that is orthogonal to the vector AB. L A B Use the method above to...

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Q: 32. At what value/s of x is the function (2 — Зх f(x) = } -|x| (x² – 6 А. 1 В. 3 С. 1 and 3 D. The f...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: Activity 1. Solve for what is asked. Expresses your answer in simplest form. 1. Find : dx x = 8

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

Q: dy -2 sin x where y (5 = JT dx

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Q: Determine whether each point lies on the line. x = -1 + t, y = 2t, z = 3 + t (a) (0, 2, 4) O Yes O N...

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 4 y + 7 = z +...

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: If z is parallel to a vector u then u =lemda z 

Q: А(-1, 0, -2), в(-1, 5, 2), C(-3, -1, 1) |AB| = JAC| = |BC| = O right triangle O isosceles triangle O...

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Q: Find the sum of the convergent series. 1 1 (a) 2n 3n n=0 (b) (sin 1)" n=1 9 27 +... 8 (c) 8+6+ + 2 1...

A: a) ∑n=0∞12n-13nb) ∑n=1∞sin 1nc) 8+6+92+278+...... Note:     Multiple parts are given, we are answer ...

Q: Find the indefinite integral. (Remember the constant of integration.) (0.9t2 + 0.08t + 9) dt

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Q: A. Write the missing term/s in the given series of numbers. 1. Find the next three terms in: -14 -10...

A: 1.      -14,-10,-6,-2,_,_,_ -14+4=-10-10+4=-  6    -6+4=-  2   -2+4=      2        2+4=      6      ...

Q: x3 - 3x?y = C

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Q: = -2 sin x where y (4) = 7 dx = JT

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe"/x, (3, 0) Vg(3, 0) =

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Q: Linear coefficients in 2 variables: Solve the equation: (x-y+1)dx-(x+4y+1)dy

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Q: 16. As a generalized interpolation problem, find the quadratic polynomial q(x) for which q (0) = -1,...

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Q: Test the series for convergence or divergence

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Q: Show that the equation below is an inexact equation. Find the integrating factor in terms of t only ...

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Q: Determine the homogeneity of the following functions x+y/x-y

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Q: Use the triangle to find each half angle. 25 24 () - tan () - sin cos 24 24 :: :: :: 1 :: 25 25 7 3/...

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Q: Solve the following: a) [4/(x+ 1)] – [2 / (2x – 1) b) (1/y)+(1/2y)+ (2/3y) c) (2a²b³/3z²)÷ (ab²/2z) ...

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Q: Integrating factors y(x^2 + y ^2 − 1)dx + x(x ^2 + y^2 + 1)dy = 0 when y(1) = 0

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Q: 2. Find the general solution of the differential equation: dy dy -5 + 6y = e* dx? dx

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Q: x - 3x?y = C

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Q: Determine if the following functions are continuous on the interval I. (i) f(x) = -x. (0, 1) I 2 x-x

A: Check the numerator and denomination in the given interval to decide the function. 

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: We have to find equation of line in symmetric and parametric form.

Q: 1. What is the slope of the tangent line to the curve 4x2 - 9y² = 1 at point (3,2) ? b. - 27 8 a. 3 ...

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Q: 5. Check if the following is a separable equation. dy * = xy + 1 O variable separable O not variable...

A: The detailed solution is given below Thanks 

Q: 1. y = 1+3x-x2

A: Given: y=1+3x-x2 Recall: ddx(k)=0ddx(xn)=nxn-1

Q: Determine the general equation of the plane satisfying the given conditions: plane A containing the...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as ...

A: ANSWER IS GIVEN BELOW.

Q: the curve C:r = 1+ sin e and above the line e: r= 3/4 c

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Q: Consider the following function: f(x) = ) = +" – 2v – 7 Step 3 of 4: Determine where the function is...

A: Given: Notice that f''(x)=6x2. Graph:

Q: S sin(V2x)dx = sin(V2x) – V2x cos(v2x) + c %3D

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Q: The Furmetion fla)=t kininen as Taylor series abaut x =0 4s derwamine ite series elow end nerite our...

A: a) fx=8e2xb) gx=9x5e-1 x

Q: cos x dx Sx x sinx cosx dx 4. 3.

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Q: A lamina with constant density p(x, y) = 6p occupies the given region. Find the moments of inertia I...

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Q: (1-x²)-1/2 Arcsin x

A: We will integrate the given function using simple Integration method.

Q: ner order ential e = 0; y(1) = 0, y'(1) =

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