a = a What is the 150th term of a A 151 B 152 с 309 D 311 n-1 +2 if a₁ = 11₂

Q: Consider the partial differential equation u, + uux = 7+ uxx: Determine the order of this equation;…

A: Given differential equation:- ut +uux =7+uxx

Q: A) 48 B) 0 96 D) 32 If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D…

A: To value of the value of given integration in terms of given values .

Q: At each point (x,y) on the curve, the slope is 2x+1. The curve passes through the point (-3,0). Find…

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Q: Given the function C(a) = (x-4) (x + 6) (x - 1) its C-intercept is its x-intercepts are

A: Solution is given below:

Q: V. Given: 2. Find f'(2), if it exists. f(x) = el32-61-2, [2x - 5], √x²-9, if x 3 14

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Integrating Factor by Linear Equations: 7.xx-y-5x43x² + 2x = 0 dx

A: Let's find.

Q: Given: (1+2x) ex dx. Using integration by parts and letting u = − 1 − 2x, dv = f(x)dx, then the…

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Q: II. Determine if [x+1]. if x < -1 S x + 1 f(x) = 2 tanh (x+¹) if 1<x< 1 1-x In [cosh (x + 1) + sinh…

A: It is solved whether f(x) is continuous or not.

Q: 1. f/² sin (1) cos (4) Sir sin (²) dx (Consider initially the first 2 terms)

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Q: x²+x+1 so Ja 2x²+2+x²+x dx dx = [Aƒ (x) – B ln(g(x))] à + D fb +2 and if A=,B<0, then g(x) = .

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Q: Solve the following differential equations of y" +4y'+3y=3e²x;

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Q: [w (1-32)] 3w 11. lim w In 1 In W→∞

A: LetL=limw→∞ wln1-23wFor L hospital L=limw→∞ ln1-23w1wNow apply L hospital ruleL=limw→∞…

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 4. lim x-∞ 8118 5. lim 1-x+ 2x +…

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Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

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Q: IV. Do as indicated. 1. Let f(x) = where = 1. 1 Find the equation of the tangent line to the graph…

A: Let's find.

Q: Consider using the method of partial fractions to solve x²+x+1 rb Sa 2x²+2+x²+x - dx = [Af(x) – B…

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Q: Method A: Method B: Replacing cosa by 1-sina. Replacing sin by 1- cos². Replacing seca by 1 + tan²…

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Q: Given: (1 + 2x) e-* dx. Using integration by parts and letting u = -1-2x, dv = f(x)dx, then the…

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Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

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Q: limx→1 (x − 1) tan(x³ − x) - (x+1) sin²(2x - 2)

A: limx→1(x-1)tan(x3-x)(x+1) sin2(2x-2)=limx→1tan(x3-x)(x+1)×(x-1)sin2(2x-2)using propertylimx→af(x).…

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

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 | ² || = [ i+t²j||dt

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given: r(t)=t i+6ti

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: Solve the given differential equation. All solutions should be found. (4y³ + 2x²y) dx - (3xy² + x³)…

A: Use the substitution method and solve the differential equation.

Q: orrect. a k(t) ||r' (t) × r"(t)|| ||r' (t)||³ = r(t) = e¹0ti + e-tj tc

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

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Q: Use the formula ‹(t) = = 198 t7 k(t) : (4+121 +¹8) ²³/ = ||r' (t) x r"(t)|| r(t) = t²i+t¹¹j X to…

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Q: Integrate the following functions f(x,y) = 3x-2y. R: over the given regions. the circle x² + y²

A: Given function f(x,y)=3x-2y and region R is x2+y2=1

Q: 15 Give the properties for the equation 3y 2 - 2y + x + 1 = 0. Center (-1, 1/3) (-2/3, 1/3)…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -2 x-intercepts…

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Q: Solve the given differential equation. All solutions should be found. dy 3x = e +9y dx NOTE: Use c…

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Q: Find fa, fy, and fz. f(x, y, z) = 5z ln(x³y³ cos(z)) fx = fy fz f₂ = =

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Q: du du

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Q: NE- My Ne If = Q, where is a function of y only, then the differential M equation M + Ny = 0 has an…

A: ydx+3xy-e-3ydy=0

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: Function f(x)=e-0.5x(4-x)-2Derivative of f(x)=f'(x)

Q: Use the function to find the image of v and the preimage of w. T(V₁² V₂) = (V₁ + V₂₁ V₁ V₂), V =…

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Q: dy II. Find Do not simplify your answers. . dx 2. y= tan-¹(cosh.r) (sin²r) (sech r)secr [use…

A: Given y=tan-1( cosh x)( sin2 x ) (sech x)secx

Q: The IBP formula fudv-uv- - fvdu can also be written as fudv + ſ vdu = uv Which of the following…

A: Given that the four options  To find choose the correct option which is satisfi IBP formula

Q: Suppose that a function f(x) satisfies the following properties, together with the table of signs…

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Q: N. – My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: 1. xý + 3y += sin x v2

A: Given :

Q: f(x,y) = 3x-2y. R÷ the circle x² + y² = 1

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Q: Using mathematical induction. Prove that Ž {i= n(n+1) WHEN 12 1 2

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Q: 18 Identify the center of the conic section whose equation is 5x 2 + 9y 2 - 80x + 54y + 221 = 0…

A: Solution is here

Q: If y=7x²y+z³ +yz² A = y³ z² e^5x a_x + 4x4 zcosy a_y+ 2x4 CosySinz a_z. Find the following at point…

A: Given, ψ=7x2y+z3+yz2A=y3z2e5x ax+4x4z cosy ay+2x4cosy sinz az           Note: The expert is supposed…

Q: Please solve the problem with complete solution. Thank you

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Q: a =(−1)²¹ (n − 10)₂ - What is the 9th term of the sequence n

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Q: 31. (a) 32. (a) 33. (a) 12x-1| dx √2 + x) dx e* - 1| dx L'i lex -3π/4 (b) cos x dx (b) [*/² | } −…

A: Given: ∫-11ex-1dx

Q: IV. Do as indicated. 1. Let f(x): = where x = 1. 1 Find the equation of the tangent line to the…

A: Given equation f(x)=11+x2Differentiate…