What are the projections of the point (6, –3, 5) on the coordinate planes? On the xy-plane: ( On the yz-plane: ( On the xz-plane: (

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

A: To find out the limit.

Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuou...

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Q: 4. lim (3+x2) X+-2

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Q: A parabola with directrix y = -1 and one endpoint of the latus rectum at (-1,3)

A:

Q: If z = 9x2 + y? and (x, y) changes from (1, 3) to (1.05, 2.9), compare the values of Az and dz. dz =...

A:

Q: 1. The strength of a rectangular beam varies as the product of the width and the square of the depth...

A:

Q: 6. lim 4x(x+2) 77

A: Let's find. 

Q: 34. y = -x2 + 6x – 8, y = 0; about the x-axis %3D

A:

Q: 2. The differential equation (4x'y -6xy-2x-3dx + (2x*y – 2.x' kdy = 0 is exact because ƏM ON dy

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Q: The radius and height of a right cylinder are measured at 2.9m and 1.6m respectively with a maximum ...

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Q: c. -1 |sech udu = 2tane" + C %3D tan (sinh u) + C -1

A:

Q: An airplane is flying overhead at a constant elevation of . A man is viewing the plane from a positi...

A: Basic application of derivative problem

Q: 4 sin“ x cos° x dx

A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...

Q: 6. Suppose f(x, y) is differentiable. x(s, t) = 4s + 3t + 2st + 3 and y(s, t) = 7s + 3t2 + 2. We are...

A:

Q: Find the radius of the sphere x2 + y? + z? – 2x – 8 = 0. %3D 4 O 2 O 3 9,

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Q: (3x*y + 4.xy' + 6)dx + (r* +6r°y -1}ty = 0 1.

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Q: Find the slope of the line tangent to the given curve at the indicated poin a. f(x) = 3x + 10 at (-3...

A:

Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

Q: - 2 merefore, we have 9w? - 5w + 7 y = = 9w3/2 - 5w!/2 + 7w¬1/2. Vw w, since the function is a sum o...

A: Topic:-  derivatives

Q: 00 nx n+3 n=0 3D0

A:

Q: Determine whether or not the angle between the two vectors below is the right angle. You need to wri...

A:

Q: According to the formal definition of the term "parallel," two vectors are said to be parallel to ea...

A: According to the formal definition of the term "parallel," two vectors are said to be parallel to ea...

Q: It is easy to check that for any value of c, the function is a solution of the equation to r2 Y = xy...

A: We have to find value of c

Q: Consider the following. y 6 y = f{x) 4 2 (a) By reading values from the given graph of f, use five r...

A: Given:-The graph of y=f(x) is Note: The values of f(x) can not be observed accurately at each point...

Q: B. Determine if lim f (x) = f (c)

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Q: Determine the value of C for the given first order differential equation when x=2 and y=1. e*+v/ = e...

A: Given  ex+y y' = e2x-y  y' = e2x-y/ ex+y y' = e2x-y-x-y  y' = ex-2y y' = ex/ e2y dy/dx= ex/ e2y e2y ...

Q: Consider the following problem: A box with an open top is to be constructed from a square piece of c...

A: As per our guidelines we are supposed to answer only three sub parts of the question. So I am solvin...

Q: 5. The differential equation (3r*e" - 2xktx+(r°e' -sin y}dy = 0 is exact because ƏN ƏM ôx

A:

Q: Hx'+y°-4x+Dy = - 2

A: This question is based on formation of perfect square and solving inequality notation.

Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x sinh(...

A: Given:     y = cosh ( ln ex^3 )

Q: Step 3 We have determined the following. 4x2 - 3x g(x) h(x) = ex %3D %3D = 8x - 3 dx [nc»] • ex xp A...

A:

Q: e+ = e2a-y C = e? 1 C = - O Option 4 Option 2 C =-e

A:

Q: (a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to first b...

A: Follow the procedure given below.

Q: 4x' 16х — 9у* + 20

A:

Q: y = Che- + C2e-2 + x %3D y - 3y – 2x + 2y +3 = 0 Option 2 O None of the choices y/" - 3y - 2x - 2y+3...

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Q: 4. The differential equation x(3.xy-4y' +6)dx+(x' - 6x²y² -1)dy = 0 is exact because ƏM ƏN Əx

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Q: 10. limx- 2x+x- 713

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Q: d Find [In(x2 + 1)] dx 1 b. x +1 2 2x c. а. x+1 x +1 d. 1

A: We need to find the differentiation of the given function.Below find the solution in the image.

Q: 3 dx is . Jitx The value of V1+x d. 0 b. 2 с. -1 а. 1

A:

Q: Convert the numeral to a numeral 29116 16 =10

A: We will convert the hexadecimal to decimal.Below find the solution in the image.

Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

A:

Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

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Q: of (x) 3 at x=2. x+1 Find the slope of the tangent to %3D

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Q: dy y(ln y – In a + 1) dx 1 C = -ln C = -In Option 4 O option 2 1 C =-In

A: This question is based on solution of differential equation.

Q: If y = x' - 3x' + 1 +8x– 10, find y5) 13. x2 -5 a. - 24x5 b. 720x3 -7 120x d. - 720x-7 с.

A:

Q: 2. (2.xy – sin x}dx+ (x² - cos y ldy =

A: We will solve the given differential Equation.Below find the solution in the image.

Q: 1) Sketch the graph and test the symmetry of the following : r =10

A:

Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C 

Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 Xa lim p(x) = ∞ lim q(x) = ∞, evaluate the limits ...

A: We have to find the given limits.

Q: 3. y = V(2x + 5)3

A: (3). Given: y=2x+534   The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1