dy A9. If xy- cos x = 1, then dx シーsinx ソ+cosx -y+cos x y+sin x (b) (d)

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A: According to Newton's law of cooling, we have T(t)=Ts+(T0-Ts)e-ktwhere T(t)- temperature of body at…

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A: Since you have asked multiple question, as per company guidelines we will solve the first question…

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A: This question can be solved using integration by substitution.

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A: Given,  ∫ x2-1x2dx

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Q: Use a trigonometric identity to find cot ( - x) if tan (x) = 8. (Express numbers in exact form. Use…

A: Topic = Trigonometry

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Q: B C 13 a.) Find LA 11 33 D A

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Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

A: Use trigonometric identity

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) = %3D

A: To find the gradient of the function at the given point.fx, y=5x+2y2+4, 4, 2∇f4, 2=?

Q: Šolve the following problems completely and accurately. Part 1: Solving Differential Equations (1)…

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Q: Sz IF A-(-2 4) 2 3-( (-24リ Cュ Prove! CA *B) *C = AK( B+C)

A: We want to show the above equation is true.

Q: 5 dx J 125x2-9 5. 4t.a-2t

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Q: 72 (29.4) Determine whether the series (-1)" is absolutely convergent, condi- n2 + 1 n=1 tionally…

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Q: 18g(x) - f(x)]dx =] %3D 2 (Simplify your answer.)

A: This question is based on substitution of given integral.

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

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Q: Find the tangent and cotangent of 195". Note that 195 = 150 + 45. Use sum or difference formulas…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x2 + y2 + z? (7,…

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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: Consider the parallelepiped with adjacent edges u = 3i + 4j + k v = i+j+ 4k w = i+ 9j + 6k Find the…

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Q: The equation x10 – 10x2 +5 = 0 has a root in (0, 1) Select one: True False

A: We want to check true or false.

Q: Find the area bounded by these curves. (All choices are in sq. units) y1 =+4 Y2 = r-2x

A: This question is related to application of definite integration, we will solve it using given…

Q: 11) The Inverse of ()= *-1* a)(x) 3x-1 b)/(x) log2(x) d)f(x)= log3(Vx+1) e) non

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Q: Finding a Limit Graphically In Exercises 5 and 6, use the graph to find the limit (if it exists). If…

A: f(t)=ln(t+2)t At some point t=a we say that limit exists if both  right and left side limits exist…

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Q: Find the tangent plane to the equation z = - 2a2 – 3y? + 5y at the point (– 4, 4, – 60) | Z = 16x…

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Q: The value of the double integral // (2x²y + 9y') d A, D where D is the region bounded by x and y = 2…

A: Given problem:-

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Q: Find if dy y2+4 + In(x + 2) = xy3 dx 2vx+4 2yvx + 4 - 3xy² x + 2 Vx + 4 -3xy? 23Vx +4 1 x+2 2x+4…

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Q: Let D be the tetrahedron in the first octant bounded by the coordinate planes and the plane 6x + 3y…

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Q: If −8cos2θ−4=−12, where 0≤θ<2π, what are the values of θ?

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Q: Find the area bounded by these curves. (All choices are in sq. units) y = x 4x +y = 12

A: Here, the is a line passing through the origin. And,  4x+y2=12⇒4x=-y2+12⇒x=-14(y-0)2+3 which is a…

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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