: Se' com (7e')cos (4e")de Evaluate: (A) -cos (3e") –cos (11e*) +C 22 -cos (3e*) + -cos (11e*) +C B 22 1 -sin (3e*) – -sin (11e*)+C C 22 D sin (3e*) + -sin (11e“) +C 22

Q: Find the volume of the following solid. The tetrahedron bounded by the coordinate planes (x-0, y= 0,…

A: Given problem:- Find the volume of the following solid.   The tetrahedron bounded by the…

Q: Question For the function f(x) given below, where x > 0, evaluate lim f(x). X00 f(x) = In(5x² – 5) –…

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Q: Evaluate the following limit: (x- 2)2 – 4 | lim If it does not exist enter DNE.

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Q: Q2) Convert the polar functionr tan20 to cartesian.

A: Here we have to convert the polar function r=tan(2θ) to Cartesian.

Q: Evaluate: | (cosh²2r+ sinh²2r) dr (A 2r +C 1 -sinh 2r +C 2 B -sinh 4r +C 4 D r +C E None

A: cosh²(2r)+sinh²(2r)= cosh(4r) ∫cosh(x)dx= sinh(x)+C, C is a constant.

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: Given Ax) = - 2 use the first principles definition to find f'(1).

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Learning Competency: illustrate an antiderivative of a function. Question Is S Gx2 + 5x + C)dx = 3x…

A: Given,             Is ∫32x2+5x+Cdx=3x+5 correct.

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

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Q: Consider Evaluate 3x)

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Q: Q14. The value of lim et3 -x tan x-cos x x2 is? -

A: use l hospital rule for solving for the integral.

Q: Q2) Convert the polar function r tan20 to cartesian.

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Q: Q2) Convert the polar function r = tan20 to cartesian

A: We know that x = rcosθ, y=rsinθ Given: r=tan2θ

Q: Please answer the question below: Explain in detail which test you are using to determine…

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Q: Q2) Convert the polar function r tan20 to cartesian.

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Q: Egay wants to fence a rectangular grazing area along a straight river (no fence is needed along the…

A: Given problem:- Egay wants to fence a rectangular grazing area along a straight river (no fence is…

Q: (x²y + 2xy² – y³)dr – (2y³ – xy² + =*)dy = 0.

A: Solving

Q: Find the centroid of the region bounded by the parabola y= 8x and the line y=2x. O (0.8,2) O (1,4) O…

A: We need to find centroid of the region.

Q: r= sin E-0) in first quarter.

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

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Q: If Ax) = a(x-h)* +k, where a, h, and k are constants, find f"(). 2ax O 2(x-h) O ax+h+k 2a

A: The given function is f(x) =a(x-h)2+k,   where a, h, k are constant. We have to find f''(x) f''(x)…

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Q: 1 Find "(x) if Ax) -. %3D X+1. 1 (x+1) (x+ 1) -2 (x+ 1)3 12

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Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = V9x2 + 16

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Q: If u.v.w are three vectors such that each is inclined at an angle of " with the other two, and that…

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Q: Which of the following yields the value 318? 3 (8х + 7у) dxdy 0 °0 (8x + 7y) dydx 0 °0 none of the…

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Q: / sin*0 d0, factor sin*0 as (sin²o)² sin® and let sin²0 = -(1– cos20). To evaluate A True False

A: Given problem:-

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

A: we will use newton backward difference formula .

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

A: Topic = Algebra

Q: Find the derivative of f(x)= (In x O a. 6x(In x) O b. 24(In xỷ c. 24 In x O d. 12(In x)

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Q: Find the AuRtaYe value of f(x) = x* on the intervai 2,67

A: answer is in next step

Q: Q2) Solve the D.E x²dy + (3xy- 1)dx 0 %3D

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Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

Q: PART II. Find the derivatives of the following expression, solution must be presented. (3 marks…

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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: æP In(x) dz a. Find the values of p for which the integral converges. The integral converges for all…

A: ∫01 xplnxdxApplying integral by parts,=1p+1xp+1lnx01-∫01xpp+1dx=1p+1xp+1lnx-xp+1p+1201=-1p+12…

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: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: We have to slove differentiable function above question

Q: Matrix Operations [2 1 3 3 If A = and B = find: 0 1 2 2 -1 6. ЗА - 2В 8. -5 (A + 2B) 7. А+2(В — A)

A: The given matrices,   A=2-13012 and B=-13-12-11

Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

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Q: The graph of a function f is shown below. YA f a Graph b 1. Which grap is an antiderivative of f?

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Q: Q4) Find plane area inside the polar function r = 2sin E- 0) and outside r= sin -0) in first…

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Q: Q2: Find the integration by applying substitution method: 7 dX (X – 1)VX2 – 2x - 48

A: Given,             ∫7x-1x2-2x-48dx