dy and d²y if x = t and y = 3. Find dx dx? 1+t 1+t

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A: We can solve the given differential equation by using the variable separable method.

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Q: C. Find ax and 4. 5x*y'z-y CS Xz = 2x°+y*

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A: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of ...

Q: Implicit differentiation

A: Given that: 1. 2x3y+3xy3=52. x2=x+2yx-2y3.xy-4y=x           NOTE: As per our answering guidelines, w...

Q: For this assignment, you submit answers by questions. Assignment Scoring Your best submission for ea...

A: Let's find. 

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Q: 14 (x),6 dr 36 + [g(x)]?

A: We have to solve the value. 

Q: 1. Given r(t) = 2 cos ti + 2 sin t j+ 10tk; 0 <t < 2n , find the tangential and normal components of...

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Q: #49

A: Find your answer below 

Q: Consider the following function. Function Factors f(x) = 3x³ – x² – 9x + 3 (3x – 1), (x + v3) (a) Ve...

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Q: A. Evaluate each of the following definite integrals. 2 S (8x3 + 3x2) dx 1.

A: Given that:

Q: 5. lim f(x) = +0, lim f(x) = 0 lim f(x) = +o, lim f(x) = 0 x-1- x-1+ x-1- x-1+ and f(-1) = 0 and f(-...

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Q: 84. A man is on a wharf 4 m above the water surface. He pulls in a rope to which is attached a coat ...

A: Given that: Height of wharf above water surface, h=4mRate of pulling=2m/sec

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: Find the equation of the tangent line to f at x=a f(x) = + 2 at a = 1 O y = -15x – 22 O y= -15x – 8 ...

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Q: 4. Use the product rule twice to prove that if f, g, h are differentiable, then (fgh)' = f'gh + fg'h...

A: According to question,we have to prove that,ddxfx3 = 3 fx2f'x

Q: Evaluate the integral. sin 8x cos 9x dx

A: Given that ∫sin8xcos9xdxSolution : 2sinAcosB=sinA+B+sinA-B12∫2sin8xcos9xdx12∫sin8x+9x+sin8x-9xdx12∫s...

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A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Jax dix x²

A: To evaluate the given integral.∫ln xx2 dx  

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A: Note:As per our guidelines we are supposed to answer only one question if there are multiple questio...

Q: Find the area bounded by the curves: y%3D +y=5, and a 0. +2 This area is in the fourth quadrant O-In...

A: Given:    y = -3x/x2+2    x2 + y2 = 5  The area is in fourth quadrant 

Q: 3. Center: (3, -5) radius: 2 4. Center: (1, -1) radius: 5 5. Co

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Q: Use identities to find the value of the expression. Find: tan 0 and sin 0 if cot 0 and sec 0 > 0

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Q: 39-40 A particle moves along a straight line with equation of motion s = f(t), where s is measured i...

A: 39.f(t)=100+50t-4.9t2 at t=5

Q: (*+2x* -1) ? 5. What is f(-2) if lim, 5-3x 12 В. 6. C.- 15 D. -- А.

A: Given that: limx→-2x3+2x2-15-3x

Q: Evaluate: a sec a tanxx dx from a = 0 and b = O 12- 1/ 0용 + 1 O none of these O v2+ 1

A: Given query is to eveluate the integral.

Q: 9w2 - 5w + 7 y = = 9w3/2 - 5w1/2+ 7w¯1/2. Vw Now, since the function is a sum of power functions, we...

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Q: The function h (t) = -25 cos(4nt) + 29 represents the height above the ground of a chair on a Ferris...

A: Given, h(t) = -25 cos(4πt) +29where ,25 = amplitude of cosine functiona) time to complete on revolut...

Q: V. HIGHER DERIVATIVES AND CHAIN RULE 1. x = (1+t)² 2. y = x²(x – 1)³(2x – 5)² 3. f (x) = /1+ Vī – x ...

A: As per our guidelines, we can help you in solving only first three subparts, Rest of the problems yo...

Q: Differentiate the following functions. Use any applicable method unless otherwise specified. 5. a. ...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: y = (5x3-7x2+ 2x-3)1

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Q: secx 5. When does the graph of the function f(x) have a horizontal tangent? 1+ tanx

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Q: Evaluate the integral: -dz (A) Which trig substitution is correct for this integral? Oz= 17 sin(0) z...

A: Given that: ∫17x2-9x4dx

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Q: Use the method for solving homogeneous equations to solve the following differential equation. 80 se...

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Q: Find the slope of the function's graph at the given point. Function: f(x) = x² + 1 Point of the f(x)...

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Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx...

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Q: differential equation is given along with the field or problem area in which it arises. Classify it ...

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Q: (4x'y – 15x? – y )dx +(x* +3y² – x)dy=0

A: Solution of differential equation is written in step2.

Q: A manufacturer is making a special voltage small electronic battery. The total cost, C, (in thousand...

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Q: Learning Task 7: Sketch one possible graph of a function f(x) defined on R that satisfies all the li...

A: Given conditions: limx→-4fx=DNElimx→-2fx=0limx→-1fx=0limx→0fx=2limx→1fx=DNElimx→2fx=-3limx→4fx=5limx...

Q: Find lim,-2 f(x) 2 -3 -2 -1 2 3 lim→-2 f(x) = 0 %3D lim, -2 f(x) = 2 lim,-2 f(x) = 1 Does Not exist

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Q: Evaluate the integral. 2Vy dy Vy e dy =

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Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what ...

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Q: &

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Q: 2. Given r(t) = e' cos ti + e' sin tj+ e'k , find the tangential and normal components of accelerati...

A: Given: r(t)=et cost i +et sint j+et kTo find the tangential and normal components of acceleration:Fo...