Find the probability for the experiment of tossing a six-sided die twice. The sum is 2,4, or 7.

Q: What is the linear approximation of the function f (x) = e x at x = 1?

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Q: Find a unit vector n that is normal to the surface 4z - 2x - 3y = 14 at P = (1,2,4) that points in t...

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Q: Suppose that a particle moves along a line with position function s(t) =2t^2 +3t+1 where s is in met...

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Q: need

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Q: af at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative f(x, y) = In (x...

A: given f(x,y)=ln(xy) and x=3r+4s ,  y=2r+11s

Q: Find the derivative of each function using implicit differentiation. 10. 3y4 + 7x = x² +y¯3 11. 2x³y...

A: The student has specifically asked for the solution to question(10) only. Hence that question is sol...

Q: (3) Find a degree-4 polynomial that has integer coefficients and zeros v3 and 2i (A) P(x) = (x² – 3)...

A: We are asked to find the polynomial

Q: 3 dr- - Art , when: t=0, r=ro 3. dt

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Q: Represent the function 5 In(10 – x) as a power series (Maclaurin series) f(x) = L Cnt" n=0 Co C1 C2 ...

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Q: A small island is 6 miles from the nearest point P on the straight shoreline of a large lake. If a w...

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Q: Use the Chain Rule to evaluate the partial derivative ah at the point (q, r) = (1,2), where h(u, v) ...

A: ∂h∂q=(∂h∂u×∂u∂q)+(∂h∂v×∂v∂q)∂h∂q=ev×4q3+uev×r2Substitute q=1 , r=2⇒u=q4=(1)4=1and v=qr2=1×(2)2=4

Q: In the figure below, find the following. (Round your answers to three significant digits.) 36.8 сm 1...

A: Given problem:-

Q: 1. Find 2(3z + 4)² dz.

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Q: 4. S sinºx dx

A: This question can be solved by applying the concepts of integration of trigonometric functions.

Q: A man is disabled in an accident and wants to receive an insurance payment that will provide him wit...

A: Given query is to find the amount accumulated.

Q: Find the exact and aprroximate time from May 18 to July 5 of the following

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Q: Fexsys = -xy + %3D 2 what are Hhe two criticas ints?

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

A: For the sequence convergence, limit n tends to infinity should be finite.

Q: Obtain the general solution. (x2 – xy + y²)dx– (xv)dv = 0 O x(2 - 1)e\/x -č O y - 1)e×/Y = C OC- xly...

A: Given the differential equation is x2-xy+y2 dx - xy dy = 0

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (1, ...

A: We have to find the distance between the point 1, 6, 5 and the plane x-y+2z=8.

Q: Find dy/dx for the function. x2 + 8x + y2 – 7y + 1 = 0 dy dx

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Q: Find the directional derivative of f(x, y, z) = xy + z° at the point P = (3, –2, –1) in the directio...

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Q: Calculate the directional derivative of g(x, y, z) = z² – xy + 3y in the direction v = (1,–4,5) at t...

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Q: Area of Surface of Revolution Find the area of the surface of revolution generated when the given c...

A: Surface of revolution

Q: Calculate M6 for f(x) = 5 · In(æ³) over [1, 2].

A: Given:   f(x)=5.ln(x3) over [1,3]

Q: 8. Sxe* sin x² dx

A: We have to integrate .

Q: 5. (sinx + cosy)dxdy

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Q: Find the sum of the infinite series. 1 + 18 · 29 1 1 + 29 · 40 1 +... 40 · 51 + 7. 18

A: We can solve as follow.

Q: E. Complete the table Method A Method B Multiply the expressions Apply then find the derivative of m...

A: a) f(x)=(6x-1)(4x+3)Method Af(x)=24x2+18x-4x-3f(x)=24x2+14x-3Differentiate w.r.t xf'(x)=48x+14Method...

Q: This question has two parts. You may open the second part after you submit correct answers to the fi...

A: Given query is to apply ratio test.  

Q: Compute the directional derivative in the direction of v at the given point. f(x, y) = e*y-y°, v = =...

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Q: Given: f (x) = x² + 5x + 4 and g (x) = x+1. Solve for f(2) 9(1)

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Q: p + q N = p = u + vw, q = v + uw, r = w + uV p + r aN an aN when u = 4, v = 3, w = 5 au' av' aw ƏN 1...

A: We have to find the derivative by chain rule As per guidelines we have to solve one question

Q: Find the limits. f(x) = 2x2 - 3x + 16, g(x) = x+ 2 %3D (a) lim f(x) = X-3 (b) lim g(x) = X-25 (c) li...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact answe...

A: Solution of question is written in below steps.

Q: Find an equation of the tangent plane to the surface at the given point. 6x2 + 2y + 4z? = 30, P= (2,...

A: Explanation of the answer is as follows

Q: )dx = (x + Jxy)dy O Not homogeneous O Homogeneous

A: This is a problem of differential equation. Homogeneous differential equation has same degree  of va...

Q: Lesson 12.3 Solving Rational Inequalities Find the indicated information for the inequality. 4 7 5 +...

A: We have to find the solution

Q: H.W: Evaluate the integral 3 0 |*y-2xy)dydx 1. 2. +y+1)dxdy -1-1

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Q: D eter mine Paricular volution ( 2xy)dy = (y²-x²)dy j x=I,y= -2

A: In this question we have to determine the particular solution.  

Q: Apply the limit laws and evaluate. If your answer is "DOES NOT EXIST" please type DNE. (2 points eac...

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

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Q: If 7x5 - 5y7 = 5x² + 7y°, find dy/dx. dy dx II

A: Given problem:- If 7x5 - 5y7 = 5x2 + 7y5 , find dy/dx.

Q: Solve the inequality. Write the solution set in interval notation. 6) 4w2 > 4w - 1

A: Consider the inequality  4w2>4w-1

Q: Determine the particular solution. (2xy)dx = (y² – x²)dy × = 1, y = -2 2 = 3x3y + y3 O 3 = 3x?y + y3...

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Q: Determine the particular solution. (xy)dx + (x² + y²)dy= oi × = -1, y = 2 8 - y (2x² - y?) O 8 - y(2...

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Q: Consider the equation and the given point. f(x) = (x - 3)(x? + 6), (1, -14) (a) Find an equation of ...

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Q: The resulting integral of -sin0 de has the form sin 2 2 cos +C. What should be the value of 0 to mak...

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Q: A polynomial f (x) and one of its zeros are given. Find all the zeros. 3) f(x) = x* - 6x + &? + 30x ...

A: We have to find roots of polynomial

Q: Eval the Pt: dx

A: