Question 6 xdx can be solved by either algebraic subsitution or integrataion by parts. х - 1 T True (F False

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – y from above inside y = x? ,y = 4 .…

A: Given

Q: g"(x) sin(x- 1) x-1 -4 13 A(x) = kr -8x + 6, -1 10 x>3 8 3 -1 (E) Find all x value(s) on the open…

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Q: Find an equation of the sphere whose diameter is the line segment having endpoints at (6,2, –5)

A: To find the equation of sphere.

Q: 25 – x² In -dx , if we let u=/25- x2 , then udu= – xdx. T True F False

A: Follow next step

Q: 2X + Y+ 6z= 9 8X + 3Y + 2Z= 13 X + 5Y + Z= 7 X=2 Y=4 Z=15 O X-1 Y=1 Z=1 O X=1 Y=2 Z=1 O X=4 Y=2 Z=-7…

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Q: Solve the D.E dy – (2x/1- y2)dx = 0

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Q: Helene invests Php 5,000 in an investment that earns 6% per annum. How many complete years doe it…

A: Topic = Algebra

Q: Q3) Evaluate triple integral f x - y²)dz dy dx.

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Q: Question 6 The tangent to the curve y = 1/x intersects the r-axis at (v2,0). What is its…

A: The tangent to the curve y=1x, intersects the x‐axis at 2, 0.To determine its y‐intercept.

Q: 1 In solving the antiderivative of f(x) = 3sin(x) + 4cos(x)+ 5 by miscellaneous substitution, the…

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Q: 6.x'y 10. lim (х, у) — (0, о) 2.х* + y*

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Q: Solve the D.E dy -(2x /1-y2)dx = 0

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Q: Q2) Convert the polar function r = tan20 to cartesian. %3D

A: Let's find.

Q: Consider the region bounded by the curve v= x2 – 1 and the x - axis over the interval [0,3]. Find…

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Q: dy Find given x'+y' =8xy. dx Note: Enclose all terms in a parenthesis if either the numerator or…

A: Here, the given equation is: x3+y3=8xy...(1)

Q: Which of the following is the Taylor series expansion of the function -x2 with center at 0. f (x)=e…

A: Given problem:-

Q: 2 3) -2

A:

Q: Which of the following is one of the correct steps to evaluate cos'x dx to obtain the desired…

A: Solving

Q: Find the Area bounded by the curves y? = x and x = 2y – y².

A: Draw the graphs of the given curves and mark the intersection area.

Q: Find the minimum point for the function f(x) = 5x – 14x2 – 11x + 1

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Q: Question 13 - [x²/25+ x²dx , we let x= 5sine. (T True F False

A: We have to find integration

Q: Evaluate fs 2°ds O a. 2*(sln2 - 1) (In2)2 O b. 2(słn2 - 1) (In2)2 O C. 25 - 1) In2 O d. 2° (+ 1) +1)…

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Q: 2BVC = (12x - 24)° and mZEVD = (2x + 15. What is m2CVE ? THAM V. A D. Find the missing pieces.

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Q: Find the derivative of f(x) = x In(x) 1- In(x) O In(x) O1+ In(x) O In(x) /x

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Q: d d. Calculate ri(t) · r2(t)] and [ri(t) x r2(t)] first by differentiating dt dt the product…

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Q: %3D /Q5) Find volume of body bounded by z2 +y2 + x2 = 4.

A: To find the volume of the body bounded by z2+y2+x2=4.

Q: In XVX2-625 dx , if we let x-25sece, then dx = 25secede. A True B) False

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Q: Question 12 S dy =2/y- 5inlVy+5|+c Vy +5 A True B) False

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Q: Find the value of x such that x satisfies the mean-value theorem at the interval [0. 1] for the…

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Q: Su Find D. andR %3D

A: Domain is the set of input values for which the function is defined. Range is the set of output…

Q: Eind the limits lim hth G h Sinshe-Go

A: We have to find the limit according to the given information

Q: Give the VALUE only. No need to include the unit. * Let s, =15r +10r +20 and s3 = 5t + 40f , t 2 0,…

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Q: DO NOT include spaces in between characters. And, DO NOT include dy/dx in your answer. Given In…

A: A detailed solution is given below

Q: 6.Find all the first partial derivatives of each function x² – y² c. f(x,y) ху с. = d. f(x,y)=e* cos…

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Q: e-2 1 Evaluate: e-3 xInx Oc -In 6 O d. In 6 2/3

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Q: To evaluate sin 0 do , factor sin*0 as (sin²0) ² sin® and let sin²0 = -(1- cos20). A True В False

A: To evaluate: ∫sin5θdθ Let I = ∫sin5θdθ ⇒I = ∫sin4θsinθdθ

Q: F'(x) = (ax3 + b)2 O none of the choices O 1 За ах3 + b 1 1 2a ax3 + b 1 1 - За аx3 + b. o 1 2a (…

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Q: Reduction of order can be used with yı = 2x to find a second solution for the %3D DE: 2x²y" – xy' -…

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Q: Given In.ry+x+ y =2. Find dy by implicit differentiation. dx

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Q: Consider the parametric curve defined by 1=3+5t and y=1+3 Over which values of doesthe curve has a…

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Q: (1) Evaluate the triple integral I zyz dV, R where R = {(z, y, z)| 0 < z < 3, -2 <y< 1, 1< z < 3}.

A: We will use simple Integration rules to solve this triple integral.

Q: 02) Solve the D.E dy - (2x/1-y2)dx 0

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Q: . 2 28x -15x dx 4x + 7. +C %3D

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Q: 9x 4. J, 16+9x

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Q: In x25+x dx , we let x= 5sine.

A: ∫  x225+x2dx

Q: 9. If f (x,y,z) = 3x²y – xyz + y²z? _Ifind each of the following: fy (x, y,z) C.

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Q: (e) Suppose that the functionf is represented by the power series f (x) =1- +(-1)*. - -- +... 2 4 8.…

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Q: Question 8 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. (A True…

A: We can evaluate the given integral by using the substitution u = csc (5x)

Q: Find the value of x such that x satisfies the mean-value theorem at the interval [0. 1] for the…

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Q: Evaluate the following and post your answers in t (Activity 2.1) 1.Sdz 2. Sa dx 3. S(7y6 + 8y3 –…

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