Q1: If y=sint and t= sin x, then at x = a) 0 b) c) cosl dx² d) -cosl e) others

Q: wing using properties from the class notes (do not assume any particular vectors for u and v). Show…

A: We have to find out projection

Q: Describe all of the operations involved in (a - b)(a c) — 2ã · (b × c) - Explain whether the final…

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Q: Evaluate the integral i.) 2 S² S₂y ez dxdy हैं,

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Q: Evaluate the limits 3 01 O lim X-00 3x-2. X

A: To evaluate: limx→∞3x-2x

Q: Evaluate the following integrals I 1. x² - x 1+3x²2x³ dx J₁ 2. /1+2 I dx 1 + 2 sin r ²+2 3. da x + 1…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: 5. Find the Taylor expansion of f(x)=x² - 2x + 4 at x = 2.

A: To find the Taylor expansion of fx=x2-2x+4 at x=2.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Solution: L-1 {1/s7}

Q: (A) (в Identify the form of the partial fraction decomposition of the rational function -3² +10…

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Q: Question R is the region bounded by the functions f(x) = 1-3 sin (x) and g(x) = 3 cos (x). Find the…

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Q: cteria. If the bacteria grows continuously, how many will there be at 7:30 pm?

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Q: Set up the integral to find the area of M, using vertical ectangle. Let M be the region bounded by…

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Q: 3. Find the distance between points P₁ and P2. (a) P₁(-1,1,5), P₂ (2, 5,0) (b) P₁(3,4,5), P₂(2, 3,…

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Q: uestion you were to use a substitution of u = cos(x) to evaluate the definite integral below, what…

A: We have to find the integral

Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

Q: √x² - 36 dx

A: Reduction Formula :    ∫secn(u)du =n-2n-1∫secn-2(u)du+secn-2(u) tan(u)n-1

Q: 1. What is the value of Sin 3? 4 TT 2. What is the value of Tan 3

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Q: 3-Evaluate the integrals in Exercises: 2√3 So dx √4 + 4 + x² 0 4- 6 dx 5. Sot v Jo V1 + 9x² cos x dx…

A: We have to evaluate the integrals.

Q: The result of the following dot product (- 2j + 3k) · (−2ī +2j - 2k) is b. -6 c. 0 a. -10 d. 10 e. 6

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Q: Find an equation of the normal line to the curve of y = √x that is parallel to the line 2x + y = 1.…

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Q: Find the two values of k for which y(x) = ex is a solution of the differential equation y'' - 14y' +…

A: Solution is here

Q: If f(0) = -6, f'(0): = 3 S³ = x. f''(x) dx = = - 20, f(3) = 297 11 and f'(3) X 18 then: -49

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Q: Use logarithmic differentiation y = (x) ²

A: Topic = Derivative

Q: Find the value of k for which the constant function (t) - =k is a solution of the differential…

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Q: Express the function n, lim n→+∞ 4k² in closed for and then find the limit. n³

A: We will first write this function in closed form then we will calculate the limit of the function.

Q: A) 0 B) 3 (C) 2 (D) 4 E 5 F) 1 Use polynomial long division to write 2x² + x³ 3x² + 4x-9 x² + x =…

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Q: The graph below shows a function f(x). Determine whether each of the following integrals would be…

A: We want to know the area of the given graph is positive or negative on the given intervals.

Q: Evaluate the integrals. x√√1-x² dx a. x X b. I si sin5 -cos-dx 3 3

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Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: Sv x² - 36 dx

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Q: The law of Sines. b) Given: A= 36° a = 8 b=5 Find: B-? C-? c-?

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Q: Q3: The equation of the tangent line to the graph of y=f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

A: Topic:- geometry

Q: Yolanda, whose regular rate of pay is $12.90, with time and a half for overtime, worked 48.25 hours…

A: Generally, a work week is 5 days long and has 40 hours i.e. 8 hrs per day at standard.  So 8.25 hrs…

Q: The output of a factory is changing at the rate of Q' (t) = 2t³ - 3t² + 10t + 3 units per hour,…

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Q: 4. (a) Find the general form of the equation of a line through A (2,-2) and B (-2,3). 4. a) (b) Use…

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Q: The surface of the sun has dark areas known as sunspots that are cooler than the rest of the sun’s…

A: As per guidelines, we are going to solve only one problem. So please repost the other problems…

Q: dx √x² - 4x + 13 S

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Q: Solve the equation using Exponential Shift (D² - 2D + 2) y = 12x³e²x O y = e (c! COSx + c2 sinx) +…

A: Answer is given.

Q: P3: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x²-y-2 = 0…

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Q: Numerical Integration: 1 So Fede dx 1. 0 2. 2 (2x² – 3x) dx -

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Q: a) There are three vectors u = (2,2,0), v = (-1, -2, 2) and w = (−1, 2, 3) (i) Calculateu+v-W (ii)…

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Q: Find the linear use it to estimate ln(1.44). L(x) = In(1.44) approximation of f(x) = In x at x = 1…

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Q: Find the general solutions of the system. 200 x' = -5 7 5 x 002 x(t) =

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Q: Find f(x) if y = f(x) satisfies dy 35yx4 dx and the y-intercept of the curve y = f(x) = = f(x) is 2.

A: In this question we have to find f(x).

Q: 2. The graph of f(x) is shown to the right and has the following characteristics. 100 f(x) = x55x4 +…

A: We can solve this as follows:

Q: find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)3 ℒ{f(t)} =

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Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: Suppose N=N(t)=The number of bacteria at time t Where t is time in hours since 12:00 noon

Q: problem: Find the vector below. ting the unit normal vector of A = 40 + 7 ₁ 0 - 3 K

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Q: Suppose f (a) g' (b) h' TU IT (5) = −5. Let g(x) = f(x) sin(x) and h(x) = cos(x). Find the…

A: SOLUTION-

Q: Let g(x)= log4 (13-5x). State the domain of g using set or interval notation. . State the range of g…

A: g(x)=log413-5x Given function g is unbounded when 13-5x=0⇒x=135 The equation of the vertical…

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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