Find cosh² (t) sinh5 (t) dt.

Q: Which of the following gives the area of the region enclosed by the line y = -x − 1 and the parabola…

A: The simple diagram then horizontal strip...

Q: 7. Determine the area bounded by y = x² - 6x + 10, x = 1, x = 5 and the x-axis.

A: Above question is solved.

Q: 1. f(u) = u³, g(x) = u = 2x¹ + 1 Find (f g)'(-1).

A: Here, the given functions are: f(u)=u3 & g(x)=u=2x4+1 Now, f∘g(x)=f(g(x))⇒f∘g'(x)=f'(g(x))g'(x)…

Q: 3 use the definition of latlace transforms to find £{+²H (E-5) } JINO

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Q: (0²-16)³/2 de A3

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Q: 7- cos y dx + (x siny - cos²y)dy = 0

A: Note: as per guidelines we support one question in one request . kindly repost next question in next…

Q: 2. Use polar coordinates to evaluate √9-1² 2 L √4+x² + y² dy dx.

A: This is a problem related to integral of polar curves. Based on the substitution in cartesian…

Q: 6x² - 2x - 1 4x³ X jo dx

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Q: Factor the trinomial. 6q²-25qt+14t² Select the correct choice below and, if necessary, fill in the…

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Q: ind the equation the tangent line and normal line to the graph of f(x) = x³ at x = 2.

A: Given f(x)=x3 substitute x=2 in f(x)⇒f(2)=23=8 The tangent line passes through the point (2,8)…

Q: A tank initially contains 200 liters of fresh water. Brine containing 2.5 N/liter of dissolved salt…

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Q: 5 4(x²+y²) Qu/ If w = f(u, v) = cos uv, u = xyz , v = aw Prove that = 0 at the this point (x,y,z) =…

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Q: B2. Find the integrating factor by inspection then solve.  y(y2 + 1)dx + x(y2 - 1)dy = 0

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Q: dy dx 3y x+1 || (x + 1) 4

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Q: A) Find all value(s) of a such that lim f(x) does not exist [Select] B) Find all value(s) of b such…

A: Question 8 A) limx→1-f(x)=6≠limx→1+f(x)=4 limx→2-f(x)=-∞≠limx→2+f(x)=∞ answer: a=1 and a=2 only

Q: We have that 10 177 g (17x + 7) dx O a) 4 O b) O c) 17 Od) -4 24 17 g (t) dt = 4 I so what's the…

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Q: Consider the function f(x) = x²-4 x²+2x-8 (a) Find the x and y intercepts of f(x) (b) State the…

A: Explanation of the answer is as follows

Q: x²-16 8. lim x-4x²+9x+20

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Q: dx √(1-x²) 7. The value of f A. CONNE Oc O J. N is B. sin '(x) + c 4 C.rosx + le D. cosx A 8. Jcos'…

A: I am attaching image so that you understand each and every step.

Q: Evaluate [ (cos² 0 + 2 csc² 0 + sin² 0) do .

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Q: un J-2√√2+x (c) Let u₁ = x² - y² and u₂ = x³ - 3xy². Show that u₁ and u₂ are harmonic functions and…

A: Solution

Q: 79 J ·S= sen7⁹ (x) dx. When applying variable change u-cos(x) 39 ○ a) J = [ (1 − u²) 3⁰ du Ob) J=…

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Q: 207 Σ=15 (11). Find sum Σ 15

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Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

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Q: Q4/ 1- Evaluate: ffy sinx dy dx

A: According to company rule we can answer only first question and rest can be reposted.

Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

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Q: Q4/ 1- Evaluate: f/2fy sinx dy dx ди 2- If u = x² + ey² ,x= sin 2t , y = cost² find at

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Q: x²-3x-10 x 5 x²-8x+15 9. lim

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Q: Let R be the region bounded by the line y = 1, the parabola y = x², and the curve y = √√. Find the…

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Q: If x is measured in degrees and f(x) = cosx, then d f(x) = − sinx

A: To write that it is true or not.

Q: If integration using u-substitution technique is used to solve for ∫2e2x1−e4x dx/square root of…

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Q: (Simplify your answer.)

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Q: 1.tr Y= 4 In ( In (In(sec(x)) then Y 14 (lan)! In ((In (sec)) In (sex);| O True O False

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Q: A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: 3) Find equations for the lines: a. The line through the point P(3,-4,-1) parallel to the vector…

A: Here we have to find the equations for the lines,  a) The line through the point P(3,-4,-1) and…

Q: QuIf w=f(u, aw Prove that əx v) = cos uv, u = xyz ,v= 4(x²+y²) = 0 at the this point (x,y,z)=(1,1,1)

A: w=fu,v=cosuv, u=xyz, v=54x2+y2

Q: whought c. The plane through (1,1,-1), (2,0,2) and (0,-2,1)

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Q: a. Show that f has a removable discontinuity at x = 3. x² - 7x + 12 f(x): x + 2 = x = 3

A: The given function is: fx=x2-7x+12x+2, x=3 Show that f has a removal discontinuity at x=3

Q: Find the average rate of change of g(x) = 5x³ + 4 from x = - 4 to x = 4.

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Q: Consider the function f (x) = x-3 x+3 (a) Find the domain of f(x). Note: Use the letter U for union.…

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Q: A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

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Q: -1₁ - S. -3√ 42² + +81(1+z)² dy .dz y = Z =

A: The answer is given below:

Q: Use Newton's method to approximate a root of the equation e0.22² = 6 - as follows. Let #₁ = 1 be the…

A: Given :e0.2x2=6-xx1=1

Q: Which of the following describes the graph of h(x) = -2(x+3)+4? 4 h(x) 2 -6 -5 4 -3 -2 2 3 4 5 10 6…

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Q: Let u = cos(4x) and du = e² da, then by using IBP, the integral [e²= cos(4x) e2x cos(4x) dx is equal…

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Q: (x + 2) sin ydx + x cos ydy = 0

A: Solve by variable separable

Q: Let S = { 1 - (-1)" | n € N}. Determine inf S and sup S. Justify. n

A: We have to find the infimum  and  supremum  of the given function.

Q: A particle moves back and forth along a straight line. Its position (in meters), relative to the…

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Q: 1) In the triangle that determined by the points P.Q and R, find a unite vector perpendicular to…

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Q: (1 + 1 1 + In(x) + - X (x+y)ln(x) - 5y = c dx = (5-In(x)) dy

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