Consdeu the fanction whose cntevion is ax +b si x < 3 f(x) = -22 si a = 3 %3D bx – 2a si > 3 The requved values for a and b for the

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: Topic:- limit Calculus 

Q: u = (6, -5, 8)

A: We will find two vectors in opposite direction orthogonal to the given vector. 

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A: Find your answer below 

Q: Verify that the function f satisfies the hypotheses of the Mean Value Theorem on the given interval....

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Q: Find the magnitude of v. V = 4i ||v||3=

A: Let, v→=xi^ then, V→=x2 =x.This is the formula of magnitude of v→

Q: Find the magnitude of v. V = = 4i

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Q: (a) Find a power series representation for the following function. (Give f(x) = In(8- z) f(x) = In 8

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Q: and the direction of the aiven.vetor Find the magnitude u=(3,-4)

A: Consider the vector  v=3,-4  

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Q: By-1 dy 2y+1

A: We have to solve given indefinite integral.

Q: 5. (а) (—4, 4) (b) (3, 3/3) 6. (а) (/3, -1) (b) (-6, 0)

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Q: Let u=(-1,37 and u =< 2,-57 Find the Component form of the vector Su-V

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Q: If f(x) has an inverse g(x), find g'(a). f(x) = x+3x+2, a =2. O a. 1/3 O b. 1/4 O c. 1/2 O d. None o...

A: This question is based on inverse of function.

Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

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Q: S cot5xdx

A: Solve the integration

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Q: The farce with maghudes of 300 ewtins 200 ewtons, and 400 newtons ait on an object at angles of 3.45...

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Q: evaluate the given double integral. ca/2 9. xy cos(a?y)dxdy

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Q: Determine which of the following equations is correct. = xp Sx O +C ㅇ중 Inl +C 2in lal +C O 4x In Ixl...

A: The given integral is  x∫ 14x dx

Q: Considev the differential egn tem The companent respet to of its ganenal solutionn in given By? para...

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Q: Solve the differential equation. dy = 3x?cos? y xp Oy = x³ +C O y = tan'1 (x² + C) O y- tan (x³ + C)...

A: topic - differential equations

Q: dt

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Two vectors are said to be parallel if they are scalar multiples of one another. or Two vectors are ...

Q: Solve the differential equation. dy = 3x?ey dx O y = In (3x3 + C) O y = C In (x) O y = In (x3 + C) O...

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Q: Write the sum (6² + 6) + (6³ + 6) + (64 + 6) + (6³ + 6) in summation notation in terms of k. (Use sy...

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Q: Explain the following true or false questions in full detailed sentences and answers. Explain your t...

A: 1. Answer true

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A:

Q: 1. Consider the function f(x) = {x + 2, values to find the limit of the following: - x - 6, x > 0 x ...

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Q: In the given first-order differential equation below, (ху?- х)аx- (x?у+y)dy-D0; y(1) -2 (i) Identify...

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Q: sin (4) tan z 2. Find the derivative of f(r) = using logarithmic differentiation.

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Q: 5. Solve the following Exact/Inexact Differential Equation. If it is inexact, then dy solve it by fi...

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Q: (e*-y- 2x+y³ cosx)dx +(3y²sinx – e*-Y)dy=0; y(0) = (i) Identify the type (ii) Set up the solution st...

A: We will solve the differential equation. 

Q: where x is in centimeters and t is in seconds. What is the Amplitude? cm What is the Angular Frequen...

A: Topic:- function and derivatives

Q: x2 + x+1 x -1 Find all the asymptotes of f(x) = O No slant aymptote Horizontal asymptote y=0 Vertica...

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Q: 1) Suppose that you are headed towarda plateau S0 meters high. If the angle of elevation to the top ...

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Q: - y² dy 3y 50.

A: Simplify the expression and integrate it.

Q: Verify that the two planes are parallel. -x + 6y + 2z = 8 -x + 3y + z = 9 2. Find the normal vector,...

A: Find your answer below 

Q: The requved values tor a qud b tor Ple funston to be contimues at x=

A: Use simple continuity theorem.

Q: 3 y" + 5y" + 6y" + 5y' + 3y = 0 %3D

A:

Q: Let f be a real-valued function on R. Suppose that f(−1) = 3 and f'(x) ≤ 2 for all values of x. How ...

A: f(-1)=3f'(x)≤2Integrating w.r.t x;∫ f'(x) dx ≤ ∫2 dxf(x)≤2x+Cf(-1)=33=2(-1)+CC=3+2C=5

Q: Find an equation for the graph sketched below: -2-

A: This question is all about finding equation  using the graph sketched that is given to us. 

Q: A curve passes through point leio) and the Sloge dt line of each point (^,y) is egual to xe-BY .In t...

A: Curve passes through (e6, 0)f(e6)=0slope of Normal line=x e-8ySlope of normal line*slope of tangent ...

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the...

A:

Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: Topic = Geometry

Q: if cosh(x)=41/40 and x > 0, find the other hyperbolic functions of x

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Q: If we want to evaluate the integral x+18 1= +64 dx, and dx = do and therefore the integral becomes, ...

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Q: Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the po...

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Q: A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base i...

A: This question can be solved using the concept of maxima and minima.

Q: Consider the following planes. 3x + 6y - z = 84 x - 12y + 2z = 0 (a) Find the angle between the two ...

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