Find y': e siny + e cosx - a. none of these e sinz+e siny e cosy-e cosa e sinx-e siny ex cosy+eycosx e ycosy + e" cosxy eysinx eysina e sinxy O b. O C. Od. Oe. 10

Q: Find the volume of the solid obtained by rotating the region bounded by y = x + 1, y = 0), and X=2…

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Q: ·S Evaluate x 1/2 dx + using rationalizing substitution. x2/3

A: Topic:- application of integration

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: The given function,       3x2+y3=2y2-x3y

Q: 2. f(x, y, z) = x² + y² + 2² subject to the constraint 0= x² - y² + 1

A: The given function is;  f(x,y,z)=x2+y2+z2 Constriant: 0=x2-y2+1.

Q: Using Rationalizing Substitution S O Arctan(y) + C Ⓒ2Arctan(y) + C O In(y) + C O2ln(y) + C dx X√√x-1…

A: The integral is  ∫ dxxx-1=∫f(y)dy

Q: 2 If "IF(x)dx=6 and frox)dx=7.50mm [rodr then f(x) dx = 5

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Q: 2. Evaluate f(x) dx if f(x) dx = 5. 2 A. 5 B. -5 C. -2 D. 2

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Q: A street light is at the top of a 13 ft tall pole. A woman 5 ft tall walks toward the pole with a…

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Q: lim (et + t)¹/t t→0+

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given cos(8): = B 5 and the terminal side of 8 lies on the fourth quadrant. What is the value of sin…

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Q: Find the area of the plane region, 0≤x≤ π²-4 S.U. 4 1.111 s.u. 1 s.u. 2 S.U. bounded by y=sin X. X =…

A: This question can be solved using the concept of area under curves.

Q: Find average Value of f(x)=X³ on [1,2]. Then find Point CE [1,2] meun € [1,2] quaranteed by the…

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Q: What are the amplitude and period of function? y = 1/cos x

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Q: the following i -7x²+x-

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Q: Set-up the integral using horizontal element for the area of the plane region, 0≤x≤ bounded by y=sin…

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Q: The volume of solid of revolution when rotated along x - axis is given as A ny²dx a B Sny²dy a c…

A: We can find the solution to the given problem by using the disk method.

Q: 4. Determine the CORRECT partial fractions for Ax+B C A. + (x²+9)² (x-3)² A B B. + (x²+9)²(x-3)²…

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Q: differentiate y = ln(lntanx)

A: y=ln(lntanx) We know that, ddx(lnx)=1x

Q: Evaluate the given limit of the following: lim (et + t)¹/t t-0+

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Q: For the given cost function C(x) = 32400+600x + x², First, find the average cost function. Use it to…

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Q: THE AREA BETWEEN THE CURVES 2 4y = x² AND Y²³ = 4X 15 REVOLED ABOUT THE LINE X= -1. SOLVE FOR THE…

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Q: 4. Dada la ecuación+²+ = 1 36 a. Identifique la gráfica b. Complete la siguiente tabla: Valores…

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Q: evaluate the integral using methods of trig integrals S cos³ x dx

A: Solution is here

Q: Л(-чу +12)(туне)dy

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Q: Consider the ODE: (2x siny)dx + (x2² cosy + cosy)dy = 0 a. Solve the ODE by separation of variables…

A: We have to solve ODE by seperation of variable

Q: Solve for the indicated value, and graph the situation showing the solution point. The formula for…

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Q: ch among the equation represents the coefficent + 2 = (A + B + C)x² + (−A + B − 2C)x + -A+B-2C = 3…

A: We have to choose the correct option from the given options according to the given information

Q: 3. 4. x= F7 ←x=1 20

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Q: 2. Consider the vector-valued function R(t): Show that is continuous at t = 1. 1-t² Į (₁²-1₁…

A: Consider the vector‐valued functionR→t=e1-t, 1-t21-t3, ln2-t,  if -1<t<1t, 0,  t-1, if t≥1to…

Q: 5. Evaluate the iterated integrals. a. b. [²³² (x+y)dx dy S S S xyz dx dy dz

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Q: Write the parametric equations in the given Cartesian form. X = x = 2t - t³, y = 9 - 2t

A: To convert the parametric equation to Cartesian equation.

Q: If f(w) = e f'(w) = sin w+ 4 cos w find f'(w). Use exact values. J

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Q: A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter…

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Q: HICI IL X ot N xu[(x-+)-C

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Q: S₁² S (x+y)dx

A: the simple way integration ,frist integration with respect to x

Q: A dam has a semicircular gate with diameter 4 m. The top of the gate is 8 m below the surface of…

A: To solve the following problem using integral

Q: 4. Evaluate the following integral using cylindrical coordinates: LI [zd x dz dy dx

A: Let's evaluate given integral by using cylindrical coordinates.

Q: 4+e²z-ez ez -dz

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Q: Find the general conic form. The final answer should look something like this x^2+4y^2-64y=-156

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Q: Evaluate the integral: S dx (x+6)(x-4) ← +C

A: Given problem:-

Q: Evaluate: 1. lim [√x² + x − √x² + 4] x →+∞0

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Q: Let h(z) tan(5x + 5). Then h' (2) is and h'' (2) is

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Q: s 4+e 22 Im ez جامع dz

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Q: Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

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Q: 3. Let R(t) = (t², 1-t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

A: Here, R→(t)=t2,1-t2,t, r(t)=cos t So, F→(t)=R→∘r(t)⇒F→(t)=R→(cos t)⇒F→(t)=cos2t,1-cos2t,cos…

Q: what is the gross profit margin on the coffee tales described in question 1 above

A: Profit

Q: Evaluate the integral of the following: y4+2y²-1 dy;y #0 a. √y b. J(-4t + 12) (5t + 15)dt 4+e²z-ez…

A: In this question, we need to evaluate the given integrals. Note : According to bartleby guidelines,…

Q: For the first quadrant area bounded by the curve y = 1- x². Find the moment of inertia with respect…

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Q: 1. Encuentre la ecuación del plano determinado por los puntos P(1,2,3) Q(2,3,1) R(0,-2,-1) 2.…

A: Vector equation of the plane passing through the three points with position vectors a, b and c is…

Q: 1 Evaluate the given limit of the following: lim [(x² - In(x + 1)) cotx] x-0

A: