Write the vector v in terms of i and j whose magnitude Iv] and direction angle 0 are given. Ivl - 7, 0 = 225° V

Q: Find the absolute maximum and absolute minimum for the given function on the ir f(x) = x3 + 3x² – 9x…

A: Topic:- application of derivatives

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

A: We have to find the Distance

Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

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Q: 9

A: We will find the difference coefficient.

Q: Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)]° and solve f '(2). Solution: Reason:

A: Solve the following

Q: Using appropriate trigonometric substitution, dx xV4 – x² is transformed to S sin 0 d0 sec 0 d0 2 2…

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Q: Juliana invested $5,100 at 5.75% p.a. simple interest. How many days will it take for her investment…

A: Given query is to find the time taken to grow the investment to 5310.

Q: Work Problem . } solutions and justify your answers. : Write step by step 1), Consider the DE x²y" –…

A:

Q: A) lim x→3−    f(x)= B) lim  x→3+    f(x)= C) f(3)= D) Determine whether the function f is…

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Q: Use the Quotient Rule to compute:

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Q: Question 2 ( Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y'(0) = 3. (a) Use the…

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Q: -2 is a critical number of the function f(x) = /2x – a %D - Select one: True False

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Q: Find an equation of the plane. The plane that passes through the point (−2, 3, 2) and contains the…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: x-3 3. Find lim and simplify. x+9 x-9

A: Solution

Q: 2. Find the volume of tetraherdon with the vertices A(-1, 2,0), B(0,3,-1), C(3,3,0), and D(1,1,-1).…

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Q: 25 Type the correct answer in each box. 37 The vector \ / Is reflected across the line Y = 1 and…

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Q: The following are the critical points for the function f (x, y) = x³ Зху + уз - State what…

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Q: From Rogawski ET 2e section 10.7, exercise 58. Find the first four non-zero terms of the Maclaurin…

A: Given problem:-

Q: 2 is rational ご -2 x is irpational odd ? even (メ)

A: Given the function,     fx=2,x is rational-2,x is irrational

Q: 3 2 - VX dx x² – 4 1 2]

A: ∫12xx2-43dxLet u=x2-4.=∫-3012u3du=12·∫-301u3du=1232u23-30=12--123· 323·32=-3-123· 3234

Q: Find an equation of the tangent plane to the surface z = 24 3z+4y at the point (4,3, 1).

A: Use equation of tangent plane

Q: Find the area under the given function using integration

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Q: The maximum value of x +y subject to the constraint x² + y² = 1 is Write in decimal form (two…

A: We have to find the maximum value of given function.

Q: y= x y = I+x

A: We will find the area under the curve.

Q: Find the domain and range of y = log,(7 + 5x). The domain is: The range is : > Next Question

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Q: 1. Find y if y =x In(4x+1).

A: Use the product rule of differentiation.

Q: Given the following differential equation (E): y" + 2y' + 5y = 0. The solution of (E) is: O None of…

A: We have to find solution of given differential equation.

Q: fintthe XP COS ५: टे. 8 e

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Q: 3. Which of the following integrals cannot be evaluated using a simple substitution? 1 xp- x +1 ,4 1…

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Q: dx Vx+2

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Q: The value of E +2i+1 is i-1 139 146 124 90

A: Solving

Q: For the differential equation (x² – 3)y" + (x+ V3)y' + y = 0, singular point is a regular X=9 x=3…

A: Given

Q: Question 2 ( x? Consider the function f(x) = . x2 -1 (a) Find the intercepts of the graph of f (if…

A:

Q: A 17-ft ladder is leaning against a wall. The foot of this ladder is sliding away at the rate of…

A:

Q: The integral dx Vx² – 4 3 -2

A: To evaluate the given integral

Q: Find f. f"(t) = 5et + 4 sin t, f(0) = 0, f(1T) = 0 f(t)

A: topic- differential equation

Q: the Area that lies inside r=3+2 sin 0 out side r=2 is

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

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Q: 4 about the point a = 3. (Your answers should include the variable x when appropriate.) Find the…

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Q: Starting with the graph of f(x) = 4", write the equation of the graph that results when: (a) f(x) is…

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Q: Exercise 1. Find the following limits sin 3x+ tan 2x2 2x? + x tan 2x 1) lim 2) lim 5x +x tan 2x 3)…

A: Use limit property

Q: Using decomposition into partial fractions, 4x2 + 2 J x(x² + 2) is equal to

A: We can solve this as follows:

Q: The integral X dx Vx2 – 4 3

A: To evaluate the given integral.∫12 xx2-43 dx

Q: 17. y csc(5x)

A: Differentiation

Q: For some constant a, the following improper integral | (x2 – 1)e2xdx converges to converges to e2a…

A:

Q: Compute the partial derivatives: ,2 z = In(x² + y³) az dy

A: Use partial derivative

Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y = 0, a regular singular point is: X=4 x=2…

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Q: 4 Find f(x) dx if if x< 2 f(x) if x 2 2.

A: To evaluate the given integral

Q: Evaluate the difference quotient fla +h) – fla) for the function Ar)= 4х-3 (h - 6)/9h 1/9 4/9

A:

Q: Draw a right triangle containing 0, so that the opposite side is 2, the adjacent side is 5, and the…

A: Topic:- trigonometry ratios  Note :- as per our guideline if more than one question uploaded than…