2z/4+z dz

Q: termine the infinite limit. a) lim 1-3- (x – 3)5 b) lim 0 x*(x + 2) c) x² – 2x lim 72 - 4r + 4

A: Topic:- limits calculus

Q: 1. Find the Cartesian equation for the circle r = 3 V3 sin 0. Sketch the circle in the coordinate pl...

A: According to question,Given polar equation of circle,r = 33 sin θ

Q: 1. Consider the region bounded by the curve y = Vx,y-axis and y = x – 2. ontal 2. Consider the regio...

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Q: The price of a shirt is PhP 249. If you buy 5 shirts and up, you will get a 10% discount. How much w...

A: Given that, The price of a shirt is PhP 249. If he buy 5 shirts and up, he will get a 10% discount. ...

Q: Let u be a vector of length 3 in the direction of the positive y-axis and let v be a vector of lengt...

A: Vector: - The term vector comes from the Latin word vector, which means "carrier." Vectors transport...

Q: 23. One definition of the gamma function r(a) is given by the improper integral r(a) = ta-le-tdt, a ...

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Q: 12. Which of the following statements is/are true? I. The speed of an object is the absolute value o...

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Q: Verify whether y(x) = x² – x is a solution of the differential equation xy" + xy' – 2y = 3x.

A: Let us consider a differential equation of second order, a(x)y''+b(x)y'+c(x)y=f(x) A function yp=g(x...

Q: Q3. Practice using perfect square formulas: a) 3k2 – 24k + 48 16 81 b) x2 – - 144 c) 25c2 + 30c + 9

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Q: Find the limit L. Then use the ɛ-8 definition to prove that the limit lim V6x x→0 L =

A: Here we have to find the limit L=limx→06x3

Q: Verify whether y(x) = x² – x is a solution of the differential equation xy" + xy' – 2y = 3x.

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Q: Consider the following system of linear equations: x + y +z = 2, x+2y+3z 5, 2.x + 3y+ (m – 3)z = m. ...

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Q: r2x²+2x+1 Find the equation of the tangent line to the graph of F(x) = evy dy at x = 0. J sech x

A: We have to find the equation of the tangent line to the graph of F(x)=∫sechx2x2+2x+1eydy at x = 0.

Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it does...

A: Given,           The graph is shown below :           To find :           a f1           b limx→1fx...

Q: 1. In the given figure, zBOC LDOC, LBOA = LAOE = LEOD, and BD is a diameter. Find m BC, mBÈ, and m A...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Solve 3f'(t)+2f(t)=t where f(0) =-2  using laplace transformation

A: Rg

Q: x'e* dx

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Q: Find the volume of the solid that results when the region enclosed by x = y? and x = y is revolved a...

A: The region is enclosed by the curves x=y2 and x=y revolved about the line y = -3

Q: Find the distance from (-5, 9, –12) to each of the following: 1. The xy-plane. Answer:

A: Solution is given below:

Q: T/6 Evaluate the integral sec 0 tan 0 d0. Answer:

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Q: Find the distance from (-5, 9, –12) to each of the following: 1. The xy-plane. Answer: 2. The yz-pla...

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Q: (b) Determine if the following integral converges or diverges. If it converges give the value it con...

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Q: 8. Evaluate T/2 (a) sin? a cos z dr | (In æ)? da. You may use In r dr = x lnx - x+c.

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Q: 1 2 3 4 0 0 1 2 0 0 0 0 3. Consider the following matrix A = Determine all the solutions of AX = 0 w...

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Q: Consider the integral Step 1. Notice that the function you're trying to integrate contains a composi...

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Q: 3. A manufacturer estimates the monthly cost to produce x items is C(x) = 1000 + 10x – 0.02x² dollar...

A: The cost of producing x item is given by the function is: C(x)=1000+10x-0.02x2

Q: Pictured below is the gearwheel of a bicycle. A cyclist pushes directly down on the pedal with a for...

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Q: Domain of f(x) has all reals except? Let f(x)= x-2

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Q: Use the graph of the function f to decide whether the value of the given quantity e 4 3 2 1 -4 42 2 ...

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

Q: c. Find x when C(x)=137,850. Interpret your answer. d. Find C(500) and interpret your answer.

A: Given query is to find the indicated vale of x and cost for 500 units.

Q: 20. In(e**) = e2iny A. = - D. = dy В. dx dy dy С. dx dx у dx

A: Given equation is ln(ex^(2))=e2lny

Q: (D – 4)³, = 16x²etx .

A:

Q: Q10. Let A = {2, 3, 4, 6, 7, 8} B = {2, 4, 7, 8) C = {2, 8}. Fill in the blanks by C or ¢ to make th...

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Q: -10x lim x0o 12 + 2x 2x – 6 lim x-0 x3 + 2x – 11 x2 – 14x – 6 lim 7 – 9x2 - x² + 8x lim 9x Vx2 + 8x ...

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Q: Assume f is a one to one function If f(5) = 14, find f −1(14).

A: Given that f is a one to one function.

Q: Consider these statements: i) Tom, a student in this class, knows how to write programs in Java. ii)...

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Q: A14. Using separable variable method, the solution of the differential equation de a) In2)-c b) In(x...

A: Topic = Differential equation   Using formula∫1xdx=lnx +C      

Q: 6. f(t) = et*7.

A: Topic = Laplace transform As per guideliens , At a time only one question can be answered out of dif...

Q: (b) Determine if the following integral converges or diverges. If it converges give the value it con...

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Q: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

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Q: 5. Express 0 lim E (5x2 – 9x +16)Ax;[ – 8,4] as a definite integral. L (5x – 9)dx b. l' (10x – 9)dx ...

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Q: 4. In the given circle 0, OC 1 AB. If AD = (4x + 9) cm and (Sx+2) cm. What is AB? BD = Solution and ...

A: Topic:- circle peroprties

Q: Find the area enclosed by the curve x=t - 2t, y = \t and the y-axis.

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Q: x' cos 2x dx

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Q: 1 The roof of a building is in the shape of the hyperbola, y2 -x² =15 where x and y are in meters. R...

A: Given:- The roof of a building is in the shape of the hyperbola, y2 - x2 = 15 where x andy are in me...

Q: Define the Derivatives of the following Linear Functions: 1)Total Cost Function 2) Consumption fun...

A: 1)Total Cost Function   2) Consumption function    

Q: Find the limit lim,→+∞In(x² – 4) – In(x + 2)] Enter I for o, -I for –∞, and DNE if the limit does no...

A: Given, limx->inf [ln(x²-4)-ln(x+2)]

Q: 10 2. Use De Moivre's theorem to determine in the form a + ib.

A: The given complex number is  12+12i10

Q: a) Evaluate each. 5! 1. 4! 10! 2. 3! 7! 3. Р(5,3) 4. Р(6, 6)

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: a) The work done by a sliding piston is given by the expression wd = J31 + 2t dt use integration to ...

A: