3x5 dx Using the method of partial fractions, the given integral can be written as 3x² - 6x Consider 3x4+6x3 Find the sum of A, B, and C. O 5 O 14/3 O 17/6 x-m+ A x-1 + x + 1 + C x+m dx.

Q: Which of the following refers to backward - difference formula? Why? You can give your own example…

A: We need to compare with general formula of backward difference.

Q: ow that lim (x,y) → (0,0) 4 3x² + y² 5y does not exist.

A: To show that limit does not exist.

Q: Evaluate Stan" (x) tan" (x) sec¹x dx

A:

Q: Find the area bounded by the trigonometric curves O2.828 square units 1.414 square units 3.667…

A: topic - area bounded by curves

Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

A:

Q: Question Find the area A of the region that is bounded between the curve f(x) = ex-2-3 and the line…

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Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A: We  are given the differential equation to be solved    =>       y(y² + 1)dx + x(y²-1)dy = 0

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) c) is…

A: Concept: The equation of the line segment parallel to the given axis and passing through the point…

Q: 154. Use the Fundamental Theorem of Calculus, Part 1, to find sin x d dx √1-t²dt.

A: Topic = Derivative

Q: The limit below represents the derivative of some function f(x) at some number a. 4(3 + h)³- - 108…

A: This question can be solved by applying the concept of first principle.

Q: Exercises To Solve [No.5] Lim 9-5 a -4 dx ·8X-15 6 Sinx+25inx+5

A:

Q: Evaluate sin (1 sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…

A:

Q: Finding the Determinants Using Combined Methods (row operations and cofactor method) -2 -4 A = 1 4 8…

A:

Q: Find the velocity of the particle at the times given. Velocity at time t = 1: -3 Velocity at time t…

A: We will find the velocity.

Q: 2 I зах 9x²-6x+5

A: On solving this we will get

Q: Evaluate 3 TIT 4xyzdxydydz O 15 O 15/2 10 о None of the choices

A:

Q: Exercises To Solve [No.5] 3dx 9x²6x+5

A:

Q: 5. Calculate the sum of the first 23 terms of the sequence defined below. tn 10+ 3n, n E N

A: We have to find the sum

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A:

Q: y dy Vy+2 (√3+2-5) (5√3+2+7+21)+C (√3+2-5) (5√3+2-1+24) +C 3 Ⓒ(√3+2-5) (5√3+2+3y+24)+C…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If f is continuous on [0, 1], prove that f₁¹ f(x) dx = f₁¹ ƒ(1 − x)dx.

A: This question can be solved using properties of definite integrals.

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: Find an equation of the line tangent to the graph of f(x) = (4x-3)(x+2) at (1,3). The equation of…

A: topic- equation of tangent line to the graph

Q: Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

A:

Q: 6. If f is continuous and f² f(x) dx = 6, evaluate S/² f (2 sin 0) cos de.

A: see below the answer and calculation

Q: Evaluate sin (Inx) da Integration by parts will be used repeatedly. What is the expression after the…

A:

Q: 2x+1 (b) g(x) = f(x)

A: We want to find the differential of g(x)

Q: Find y dy S using the substitution +5=√√y+2 √y+2 (√3+2-5) (5√y+2+y+21) +C 3 (√x+2-5) (5√3+2-y+24) +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Question i: Kim is needing $3000 for a trip. she can make an investment that offers an interst rate…

A:

Q: (ii) tank (In x) = x²-1 x² +1

A:

Q: To evaluate x²cosx dx' use integration by parts. What is the expression after the second integration…

A:

Q: 7. Compute the Jacobian of the following transformation. x=u²+uv y=3uv².

A: The given data is: x=u2+uvy=3uv2 To find the Jacobian transformation.

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y²=4x about y=4 is to…

A: Here, the region is bounded by the curves x2=4y⇒x=4y & y2=4x which is rotated around y=4 axis…

Q: Find 3√√²+9 3 rdr Option 1 2√2-27 (√27-3) Option 2 (2√2-27)

A:

Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx 1 Ⓒ[con(-)x-cos(m + n)x] + C B −…

A:

Q: Given: 3z = xy_Find ƒ² + fy² +1 **+*+9 Option 1 Option 3 x²+y²+1 ²+²+3 9 Option 2 None of the…

A:

Q: B. m(x) = D. h(x) = x+2 x²-4 28. What is the removable discontinuity of x²-4 the function f(x) : = ?…

A:

Q: 2. a+b+c=c+b+a is true because of

A:

Q: C)Use LHospital's rule to evaluate only two of the following limits (if exist): 5⁰-6 lim (ii) lim…

A:

Q: Solve the following trigonometric equation for 0 ≤ 0 < 2π. Show your work. 4 cos²x 3 =

A:

Q: Evaluate the integral S√x Inx dx 3 2 4 -x² Inx+ x² + C 03x³nx-x²+c 4 2 -x² Inx+ 2 C 15 3 2 4 °²x²nx…

A: We have to solve above integral

Q: What is the value of f(1) - 16B in ∫ x3 lnx dx = f(x) ( (1/4) lnx - B ) + C?

A:

Q: Question 10 The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x…

A:

Q: In Problems 7-12, evaluate each given determinant after first simplifying the computation (as in…

A:

Q: Question 3 To evaluate A B D te fx-cost x²cosx dx use integration by parts. What is the expression…

A: The objective is to find the correct option.

Q: (x - 3y + 3)dx + (3x + y + 9)dy = 0

A: On solving this we will get

Q: Enter a whole or decimal number, or DNE for does not exist or undefined. |0x| lim (5+10=¹). [ - -0+z

A: Topic = Limits

Q: Find the value of that will make the function ƒ(z) continuous everywhere. f(x) = 4z + k, -5 0 =…

A:

Q: Suppose that f(x, y) = √√/4² -2² - y² on the domain D = {(x, y) | x² + y² ≤ 4²}. Q Then the double…

A:

Q: y" (ex®-3x2+5)4 (Type an expression using x as the variable.) 증

A: