In|x| 10. x A. In |x| + C dx B. In² x + C C. In² |x| 2 + C

Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

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Q: (2) Solve for all values of x over the interval [0,27]: 2sin(x) = sin(2x)

A: Topic = Trigonometry

Q: Q5: Derive the formula for trapezoidal Rule to evaluate f f(x) dx

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Q: Evaluate the following: π 1.² (cot 20 + csc 20) de 6 TU cost 2. S1-sint 2 dt

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Q: Plot the following curves in polar coordinates. 50 (52) 1. r = 2 + cos

A: We have to graph the given polar curve.   According to our guidelines we can solve only one question…

Q: Suppose that fn ⇒ f on R and that each fn is a bounded function. Prove that f is bounded.

A: Solution

Q: Given f(x,y) = x²y-3xy³. Evaluate 2 S₁² 0 fdx

A: Follow the procedure given below.

Q: = - - 6q² + 700q, where R(q) is in dollars and q Suppose a product's revenue function is given by…

A: The revenue function is given by , R(q) = -6q2+700q

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

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Q: Find a potential function f for the field F = 4y + 5z ( i + 4x j + 5x k). A general expression for…

A: Solve as general

Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: answer the related questions. 7. ул y = G(x) 3 10 + N grap -2 -1 0 4 5 a) Find lim G(x). x-3+ b)…

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative

Q: Make Detailed solution TECHNIQUES OF INTEGRATION

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Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

A: The objective is to find the value of the variable x, y, z by using crammer's rule.

Q: 18) lim xcos X

A: limx→∞xcos1x

Q: SINE LAW * A civil engineer desires to measure the height of a tower observing a vertical angle at…

A: We need to use sine law.

Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: Calculate the inverse Laplace of: (s-1)e-2 s²+8s +13 ^{²

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Q: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

Q: FIERNICE. B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Solve the homogeneous differential equation

Q: 3: Fill in the blanks in the following: 1 3. 4. If = (-12, 4, 8) the position vector of u…

A: Topic:-  vector algebra

Q: 2. Limx cosx x-o sinz sin²x

A: The given limit,    limx→0x2cosxsin212x

Q: VOLUME Example: ◆ The region bounded by the parabola y = x¹/2 y = 1, and x=4, is revolved about y =…

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Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

A:

Q: Find the slope of the tangent line to the curve - 4x² + 4xy - 1y³ = - 148 at the point (3, 4).

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Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

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Q: Find the determinant of the matrix, O2²-12-13 O22-12+13 O²+12+13 Oλ-13 2-11 4 6 2-1

A: Determinant , λ-11λ-1-24 λ2-11λ-λ+11-24 λ2-12λ-13

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: Q3: Fill in the blanks in the following: 1. If a=(3,-2, 6) and b =(4,-1,-6) the axb = ********* 2.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Draw a picture to find ALL angles in 0 ≤ 0 < 2TT. 1 Ay mple: For tan(0) = = draw a circle. Label the…

A: Topic :-  trigonometry

Q: (b) Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 + cos…

A: We are given a curve in its polar form  r= 1+cosθ We have to find points on the curve at which…

Q: Solve the D.E XỲ+Y=- 1 y2

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Q: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: Exercise 0.3.23. (a) Prove that the function f(x) = vex over [0, ∞). 1 1+e™ is strictly con-

A: As per the company's guidelines, we are supposed to answer only first question. Kindly repost the…

Q: Sketch the graph of each quadratic function and identify the vertex, direction of the opening of the…

A:

Q: Find the determinant of A) -10 B) 0 C) 14 (D) 10 1 3 [42]

A: We can find the determinant as below

Q: Look for the volume of the solid produced by rotating the region enclosed by y = sin x, x = 0, y =1…

A:

Q: bject is dropped from a 150-foot-high building, its position (in feet above the ground) is given by…

A: Please refer to the image below

Q: Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 3), and (2, 0).…

A: SOLUTION-

Q: The degree of DE: (y")^2 +3y(y')+y^3 (y')^5 = 5x 02 01 05 0 3

A: Recall:  The degree of D.E. is the highest power of the highest order derivative in a D.E.

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Given problem:- Find the volume of the solid generated by revolving the area bounded by the given…

Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

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Q: Find lim n→∞ n + cos(x) Jo ne + sin(x) So -dr.

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Q: R is the region bounded by the functions f(x) = -7 and g(x) = -4x - 10 over the interval [a, b]…

A: We have to find the integral

Q: The graph of f is given. y 3 * X -4 2 (b) What are the domain and range of f−1? (Enter your answers…

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Q: 3.2x²+5dx A. In|2x² +51 + C A. B. C. * 4. 4. [ sec²x tanx dx A. tan²x + C 2 A. B. C. B. In|2x² +51…

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Q: B. Graph each equation. 1. 2y² + x + 8y - 4 = 0 2. x² + y² + 6x + 8y = -9

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Q: Find the general solution of the following 2nd order differential equation: y* +2y + 2y = 0

A: