Rewrite -9.3 e = h as an equivalent logarithmic equation. Enclose arguments of functions in parentheses and include a multiplication example, c* log (h).

Q: nd div F if F(x,y,z) = xz6 i + 5y7x2 j + 6z2y k.          A. div F = z6 + 35y6x2 + 12zy…

A: To find div F.??

Q: Solve y = (1 + y) sec (x) + tan (x)

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Q: Find div F if F(x, y, z) = (x2 + y) i + z2 j + (ey - z) k.           A . 2xy i + k          B. 2x…

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Q: Find for x³ + y²x − 3 = 0 - dx

A: To find dy/dx

Q: 3) If x³ ≤ f(x) ≤ x for x in [-1,1], find lim f(x) if it exists. x-0

A:

Q: Qs Find the limits below ( a) lim(x,y)-(0,0) x2+y² 4xy²

A:

Q: sinh(2 ln(c)) = (A) = +2₂/2/2 2c² (B) c² - (C)-2/² (D) c-¹ (E) 0 1 1

A: "According to the guidelines issued by the company We are supposed to answer only one question.…

Q: N 2 -3 EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²-8x + 9 at the point (2,…

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Q: What is the sum of the first 50 terms of the series 10 + 85 +160 + 32

A: Given :   series 10 + 85 +160 + 325   Common Differences

Q: Find the equation to the tangent line y=8 sin x at point (π/6, 4) using form mx+b m= b= Both of them…

A: Topic =Derivative

Q: Find the curl of the vector field F(x,y,z)=x^2yi-2y^3zj-3zk.   A. curl F = 2y3i + x2k          B.…

A: Option (c) correct  For detail...go through the solution

Q: 5 Spending on travel and tourism (in billions of dollars) for the years 1991-2009 is given in the…

A: Concept: Power function: A function having a single term that is the sum of a real number, a…

Q: Given f(x, y, z) = xyz, find fyxy

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Q: The demand equation for the Roland portable hair dryer is given as follows where x (measured in…

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Q: Find zr if z = xyev, x = rcos(t), y = rsin(t), when r = 2 and t Zr TU 6

A: We need to find out Zr.

Q: of f(x) = x+3 and find the following. 1) f(f(x)) 2) g(gas) g(x)=x²-2₁

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Q: 0 81 ㄱ

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Q: Find the solution of the differential equation y(t) = = 1 t sec y = 6 cos t { x + + + ² ( 1 ) x - *…

A: The given differential equation is  y'+1/5sec(t/5) y= 6cos(t/5) , y(0) = 1  where 0<t/5<

Q: Find the derivative of each of the following functions. If f(x) = e ³x, then f'(x) = 3x If g(x) =…

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Q: √2142 dr = || +C

A:

Q: What is the particular solution for r(x) = 6xe³ª?

A: We have to tell the particular solution for  r(x) = 6xe3x

Q: Practice -3₁ (2-5₁) = (answer in a + bi form

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Q: 3

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Q: Problem 4. Calculate each of the following indefinite and definite integrals. Remember that you…

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Q: V. SA/9623/2-4,1¹/2 dx

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Q: U Substitution (a) State the Substitution Rule. Explain its connection to the Chain Rul- (b)…

A: Topic = Integration

Q: can you explain how you get C'(x)=10-100/x^2?

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Q: Find dy. dy= y = 30 + 15x4 - 2x5 (Simplify your answer.)

A: Solve for the derivative

Q: The range of y = tan-¹ x is A. R Evaluate lim h-0 A. undefined B. [-1,1] (x-h)³-x³ h B. 3x² C. x +…

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Q: 2-y If x = 32, find 2y 4. y+2 2y√ √2y B. dx B. Find y' if y = 4x-1 y-2 2y√ √2y (2x²-3)(3x+2)…

A: We can answer both the question in the below steps.

Q: 2x 2). 9 = (₁ x ² + ( ₂² ²³

A: we need to eliminate the arbitrary constants.

Q: = Multiply, and express answers using positive exponents only. 1 (6u²z - v² ) Lu 2 би V - 3v 2

A: Solution

Q: If y = (5 + x5 +¹³, then y' is A. (5 + x² +¹³ (5x¹¹2) +3 B. (5 + x² + ²)² (5x+) c{(5+x+) (5x + a) D.…

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Q: Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), A = {1, 4, 7, 10, 13), B = {1, 2, 3,…

A: topic - sets  we are given  U ={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} A={1,4,7,10,13}…

Q: 4) For f(x) = { sin(27x) x>1/2 4 2x-1 x = 1/2 find lim f(x) X- x < 1/2 2

A: To find the limit of the given function.

Q: 3. Let W = √u+v². Find 2³ W du² dv

A: The function is given by W = u+v2 To evaluate: The expression of ∂3W∂u2∂v

Q: dy xẩy + y = xy3 dx

A: We are asked to solve the differential equations

Q: 7+3 + 4-2 Y-3

A: SOLVE THE GIVEN

Q: Find f (x) for f(x) = 5 + 10x. Enter the exact answer. Enclose numerators and denominators in…

A:

Q: Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point. x²y² =…

A: Given expression: x2y2=49                ............(1)

Q: Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: Given, z=xy+y ln(xy)

Q: 8. 4p pt| Pt1 4p

A: 4pp+1 - p+14p

Q: Consider f(x)=5x-3-41/x^2 Which of the following does the x-intercept of the tangent line at x=2…

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Q: A cup of coffee is removed from a microwave. Its initial temperature is 199 degrees. After exactly…

A: In the given question: A cup of coffee is removed from the microwave, θ1=199∘C After 11 minutes…

Q: How you recieve pi/4 in the first problem because when you put tan-1(1/2/12) = tan-1(1) and this is…

A: This is possible by the conversion of degree into radian.

Q: The chord of the arc subtended by 5°03'25" will vary in length with the radius. Which of the…

A: Sketch the schematic diagram of given question.

Q: sinh(2 ln(c)) = 1 (A) = + 2/2/2 (B) c² - 1 (C) -2/ 2 (D) c- ! с (E) 0

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

Q: Multiply, and express answers using positive exponents only. 3z1/8 (527/8-4216)

A: To multiply and express the answer using the positive exponents for the expression: 3z18(5z78-4z16)

Q: 4p pt| p+1 4p D

A: SIMPLIFY THE GIVEN

Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

A: Given data:- The given differential equation is, dy+2xy-xe-x2dx=0