f2₁ (4x + 5) dx

Q: 46 0-25 A= ,0 01 Find all the eigenvalues of A. For each eigenvalue, find an eigenvector. (Order…

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Q: S dx (x+1)√2x²+4x

A: This question is based on indefinite integral.

Q: S 10dz 4z3-4z2+ 5z 2.

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Q: 0.99 6. е.

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Q: Find the derivative of y with respect to x. y= (x8 Inx) 5

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Q: A certain compound is a mixture of two concentrations of iron which are 44% and 29%. How many pounds…

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Q: Directions: Assuming that the angles are in standard position. Determine whether the given pairs of…

A: As per bartleby guidelines we only give first three subpart question answers.

Q: Qol find the derivative of: - f(z) = (2+22²1/2²) ¹/3 14 3) f(²)= (1+2²) ³/2 -3 7 f(z) = (iz-1)³

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Q: π/3 7. Sp² sin 0 de dp π/6 8. (2-y)dy dx 9. 5/¹¹² x cos y dz dx dy

A: Since you have posted multiple sub parts question in this question which are not interlinked so i…

Q: 3) Evaluate for ln(x + 1)dr

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Q: Find two polar coordinate representations for the rectangular coordinate point (-√2, √6), one with…

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Q: S tan-1 е' 1+4t² 2t dt

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Q: lim X- 12x²-x-1 1 8x²+2x 4

A: The given limit,         limx→-1412x2-x-18x2+2x

Q: The best method applicable to find the volume of the region bounded by .x = -y² and x=y-6 revolved…

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Q: Find the point on the plane 5x + 4y + z = 11 that is nearest the origin. What are the values of x,…

A: First we find the distance(d) between a point (x,y,z) on the plane and the origin .Then form a…

Q: Consider the equations 2x - A) x² - 2x x³ +8 0 and B) = 0. x³ - 8 Which of the following statement…

A: We can find the answer in the following steps.

Q: gh (2,-5), parallel to y= 2x+4

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Q: 2. x² + 4xy + y² = 1

A: Differentiation

Q: Find the area bounded by the parabolas y2 = 4x and x2 = 4y

A: Given curve: y2 = 4x and x2 = 4y To find the area between y2 = 4x and x2 = 4y First find the…

Q: b.) Inside r= 3 sin and outside r= 1 + sin &

A: This is a problem related to area calculation of the polar curve. Based on the general formula and…

Q: 1. Find the area bounded by the region y = 3x + 1, x=1, x=3 and the x-axis.  a. 8 b. 11 c. 14 d.…

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Q: 2. 8 2 + (-1) 5+

A: Here we have ∑k=1∞2+(-1)k5k

Q: dy dw y-w W y+ W

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Q: 7. Determine the volume of the region that lies under the sphere x² + y² +2²=9, above the plane z =…

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Q: Let c be a constant, and let h(x) = sin-¹ (cecx + x). Find h'(x). h'(x) c²eca + c 1-c²e2cx 2cxeca…

A: Solution is done in step 2

Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t² +4t+4. Find the…

A: Given, s(t)=5t2+4t+4We know that v=dsdt

Q: x Let a and b be positive real constants, and let y = f(x) such that tan ay statements is TRUE? O dy…

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Q: Evaluate indr 1-sin

A: To evaluate: ∫1+sin⁡x1−sin⁡xdx Let I =∫1+sin⁡x1−sin⁡xdx

Q: .. Consider the quadratic function y = 4-x². Using the limit definition, ind the derivative of the…

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: 4 The terms of the Maclaurin series of the function f(x) = - -x are given by

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Q: The height of a rider on a Ferris wheel is represented by the equation below. h (t) = 62 +45…

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Q: lim 2 x²-9 2 x² - 4x +3 where c = 0 and 1

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Q: = In (2x) + cos (6x)

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Q: lo 3 Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar…

A: Let's change given Cartesian integral to polar integral and then evaluate.

Q: 3. Find y' and the equation of the tangent line to the graph of In(ay) = y²-1 at (1,1). 11: 11:

A: We have to find y' and equation of tangent

Q: Find two polar coordinate representations for the rectangular coordinate point (-√2, √6), one with…

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Q: 2. Find the area between the functions: y = x³-12x + 10 and f(x) = -3x + 10 3. Find the area between…

A: We have to find the area.

Q: Find the critical point and use the First Derivative Test to determine whether it yields a local…

A: Given :f(x)=-6x2+2

Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t3-712 +9. Find the…

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Q: 2. Evaluate: S 0 trư √2 = x + x dx

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Q: Show that if the function f(x, y) = ex siny + ecosx, satisfies Laplace Equation.

A: We can solve this as follows:

Q: y=x²

A: I have stated the used formula in the solution

Q: why it is 7rad over 4??

A: why it is 7rad over 4??

Q: find area between line y=-2+x and y=x^(1/2) and x-axis 26/4 O 23/6 O 36/2 O

A: Here we have given equations of two lines as  : y=x and y=x-2.

Q: 2. ff. x²y dy dx

A: Given

Q: X=2Seco y = 4 tano find cay dx² 1. when 0-1

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Q: Is it possible to solve it without a pocket calculator ??

A: Here to evaluate: t=∫03ds(2.78s+0.8s3)12 The integral can't be evaluated manually.

Q: We start from the expression for the contact force 4 a³ 1/21 F=E (₁ 7² - (07*³²¹) ³²) '8γπa3 E* 3 R…

A: We have to find the differentiation of the above equation.

Q: The average rate of change of f(x) = sin(x) with respect to x as a changes from 0.5 to 1 is O 1 0 2…

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