B-Find the area of the region inside the carver-1+cose and outside the curve -1 and graph the two cunde indicating the required region

Q: Find the vector projection of OA = (4, 3) on OB = (4, −1).

A: This is a basic vector problem

Q: 9. The following data of the velocity of a body is given as a function of time. Time(seconds) 10…

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Q: 2. Find the unit tangent vector for the curve r(t) = (t cost, tsin t).

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Q: The Maclaurin series of the function f(x) = 8x² sin(6x) can be written as f(x) = Σ₂² n=0 where a few…

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Q: 2+3(4÷2)

A: Solving using BoDMAS rule

Q: I. Solve for what is asked. Show complete solutions. -L²₁ (x²³ - 2x) d 1. Solve for a + bx² 3ax +…

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Find an algebraic expression equal to sin (cos-¹ (5x-3)). (You may assume that − <cos-¹ (5x − 3) <…

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Q: Find the average value OF: f(x) = 2 sinx + 3 cosx on the interval [0, π] Average value= OF C is the

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Q: Q2) Evaluate the following integral (use Integration by Parts) Su². cos³ u+5 1-sin² u du

A: Concept: Integration by parts: To combine the end result of two or more functions, integration by…

Q: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

A: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

Q: A curve has an equation y = 2√x which intersects the line x = y. What is the volume generated by…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the following limit or state that it does not exist. lim X-2 V x-2 2x+5-3

A: Solution of given question is written in below steps.

Q: Q3.16 the emetric. curve pour you are given. cartesian form y = f(x). Dont have decimals in your…

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Q: (h) x. yexy - x dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…

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Q: Gravel is being unloaded from a truck and falls into a pile shaped like a cone at a rate of 10…

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Q: For any vector v and positive constant c, the vector is a vector in the same direction as v. Select…

A: This question is related to vectors, we will solve it using given information.

Q: 4. If f(x) ≥ 0 for all x € [a, b] and a. 0 b. A b [²² f = A, which of the following is the value of…

A: We can solve the given integral.

Q: Find the area between the curve on the given interval  y= x^3 , y= x^2-1, 1 < x < 3

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Q: 3. What will the flow rate be in milliliters per hour for vancomycin 1g/500 mL IV, if it is to be…

A: The given data is: What will the flow rate be in milliliter per hour for vancomycin lg/500 mL IV, if…

Q: Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at…

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Q: Find the area enclosed by the loop of the curve y² = x (x - 1) ². Consider the attached graph.

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Q: Find two functions f and g such that h (x) = (fog)(x). h(x)=√4x-1 Select a function for f(x) and a…

A: h(x) = (f*g)(x)  it means  h(x) = f(g(x)) we have to make it  h(x) = 4x -1

Q: 2. A function f:D →→ R is said to be a periodic function if there exists a positive real number p…

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Q: State the order of the given ordinary differential equation. dy d²y dx² = V1+ Determine whether the…

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Q: dy Find where y = csc dx Provide your answer below: dy dx = +9). 6x + 9

A: y = csc-(1/(6x+9)) find dy/dx = ?   here we use formula  dcsc-x/dx = -1/xx2-1   using this formula…

Q: Find dy/dx if xy+2x+3y=1

A: Find dy/dx  if xy+2x+3y=1

Q: √x+1 x-0 In (x + 1) Evaluate lim Select one: a. The limit does not exist. O b. 0 O c. 1 O d. 1/2

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Q: 9. using prime factorisation, find the HCF of (i) 2622, 1653 (ii) 1891, 1098 10.Check whether 12"…

A: We have to find out hcf

Q: 7 Given the geometric sequence: 35,7 3' 45 Find an explicit formula for an, where the first term is…

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Q: find the general solution (x - 2y + 3) dx + (x-3) dy=0

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Q: Given d = and v= -5d +30=< find-5d +3v..

A: The calculation follows easy.

Q: 3. Find the solution of the following system of liner inequalities by graphing: (K + 2y > 5x + 3y…

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Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

A: Given: Lsin2tcos3t

Q: The alternating series En-1 (-1)" is diverge. n³ 2n³+3 True O False

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Q: 100 The value of p for the series Ση=1 2n | n! by using ratio test is -1 8 N 2 0 1 O

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Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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Q: The directional derivative of f(x, y) = xe + cosxy at P,(2,0) in the direction of the vector 3i - 4j…

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Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

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Q: Let f(x) = xe ⁹x. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Explain…

A: To find out the values of x for which the slope of curve is 0.

Q: dy = sin(x+4) dx

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Q: 8,x<0 f(x)= {ax+b, 0<x<2 a= 4,x22 Llene los ...

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Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: R is the region bounded by the functions f(x)=3−cos(x) and g(x)=sin(x). Find the area of the region…

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Q: 2. Imagine you were given three different tables of values; a linear, quadratic and exponential one.…

A: Imagine you were given three different tables of values; a linear, quadratic and exponential one. To…

Q: Suppose directional derivatives of the scalar function f(P), at a point P = (x, y), in the…

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Q: The graph of f-1 is given below. Graph the tangent line to f-1 at the point P(6, 1) for f(x) = -x² +…

A: Let's solve.

Q: Given the geometric sequence: 24, Find an explicit formula for an, where the first term is a₁ = 24.…

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Q: Evaluate the following integral using inversion of order: So ²5 dydr Remember to show complete…

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Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

Q: True or False: We have Select one: True O False 2 x² dx > 2 x³ dx 3

A: We know that ∫abxn dx = xn+1n+1ab = bn+1n+1-an+1n+1  where n≠-1.