The left side is more complicated, so start with it. Use a Pythagorean identity to simplify 4 cos? B - 4 sin? 4 cos? B-4 sin² B = 4 cos? B. (1-

Q: a) a fonction f (xy) is homogeneous of degree 7 in X and y it and only it

A: As per bartleby guidelines we only give first question answers. 

Q: Find the derivative of the function. f(t) = (4t2 − 6t + 7)3⁄2

A: Topic:- derivatives

Q: )e*dx e2x +1 cot 3.

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Q: (ve"cosy - 3)dx +N(x, y)dy = 0

A: Differential equation of form M(x,y)dx+N(x,y)dy=0 is said to be exact when it satisfies the conditio...

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 - 9x² –...

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Q: Given the differential equation y" - 8 y' + 16y 7sin(9x)

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Q: 1. Find the order and degree of the differential equation: dy +5 dx 4 14 sin x. dxº

A: Given- d9ydx9+5dydx4=14sinx To find- order and degree of given differential equation

Q: 1. y'dx-(ty+ y*Jdy = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

A: Given:

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

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Q: What kind of triangle on its sides form the vertices (0, –5. 5), (1, –2, 4), (3, 4, 2). B) Calculate...

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Q: d the area (sq. units) covered by the line 2y = x + 6 from x1 = -8 to x2 = 0.

A: Given query is to find the area bounded by the curve.

Q: Evaluate the expressions. a) 3-4 b) 9-2 a) 3 (Type an integer or a simplified fraction.) II

A: Evaluate the expression  a) 3-4      b) 9-2

Q: x(/x+y) +у) — 8 — ху

A:

Q: Use the Integral Test to determine whether the infinite series is convergent. -n2 16пе n=6 Fill in t...

A: This is a question related to series and sequence calculation. For using integral test for given ser...

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t 2 – 3t – 18, w...

A: Given,           Suppose that a particle moves along a straight line with velocity defined by       ...

Q: Find the DE of each of the following by eliminating the arbitrary constants. 3 tan x– 2x°y = c

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Q: 1. Use the graph to find the limits In (t + 2) f(t) = 2- -2 2 a) t→0 lim f(t) b) lim f(t) t→-1

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Q: x*dy + (2.xy – y² }tx = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

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Q: Evaluate the integral: 21/x² 100 dx x4 (A) Which trig substitution is correct for this integral? 10 ...

A: The given integral is: I=∫21x2-100x4 dx

Q: Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to H...

A: NOTE: Refresh your page if you can't see any equations. . a force of 17 N, stretches a spring 0.3 m ...

Q: Evaluate the definite integrals using the graph of f (x) below. 4- y 2- 2 10 12 -2- -6 (a) Number (b...

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Q: Expand the expression. If possible, write your answer without exponents. 4. X, - 5 log 5 3+x² x-5 lo...

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Q: Calculate the derivative 33 4:6 dx using Part 2 of the Fundamental Theorem of Calculus. 33 dt = da

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Q: id the Domain ol y= Tx-31 (x¢4/

A: Follow the procedure given below. Domain means value of x that defines the function.

Q: n (n+1) (2n+1) 2. Find the sum 2 (k+4)2, hint use use this formula and subtract out the 1, 2 ,3, and...

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Q: cosh(2r) – 1 6. (a) Show that sinh (z) = (b) Find the nth term of the following sequence {1,8, 10, 2...

A: The two problems are as follows.

Q: 2x+1 Find the equation of the curve whose slope at (2,3) is given by 2y-3

A: Given that: Slope at (2, 3) is given by 2x+12y-3

Q: 1

A: In this given question interval  is not mentioned  for tanx .and we know the range of tanx is R  Whe...

Q: Solve the homogenous equation. 2. x*dy+(2.xy– y² kdx = Let the substitution v=: ²; y=x; dy=vdx+ xdv ...

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Q: Differentiation A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+...

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Q: II. Solve for the derivatives implicitly. 42 y-2x = 2 +4y³. + 4y³. =1 5. 6.

A: We can differentiate the derivative implicitly as below

Q: Find the vertex and axis of symmetry of the graph of the function. f(x) %3D х2 + 6х + 8

A: Given,           fx=x2+6x+8To find : The vertex and axis of symmetry of the given function.We know t...

Q: . The function f(x, y)= 8x' - /4x* + 3y* is homogenous in x and y of degree -. The function f(x, y)=...

A: Here we have to find the degree of homogeneous function

Q: Find two of the vertical asymptotes of y = tan( 2x - -).

A: We have to find the two vertical asymptotes of y=tan2x-π3.

Q: 2(x° + xy* + v)dx + (2x°y³ + 4xy° + 2x°y + x*y +2x)dy = 0: y(2) = 0 3.

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Q: a) a fonction f (x)y) is homogeneous of degree 7 in X and y it and only it, 3 b.) The function f(xy)...

A: Given some homogeneous equations and we have to calculate the degree of those functions. Homogeneous...

Q: 2. Use long division to divide P(x) 3x'+ 7x - 2x- 11 by the binomial (x-2). Express your answer in q...

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Q: f (t) = 2 (sinh t) (sint)

A: The given function is: f(t)=2sinh(t) sin(t)

Q: 1 A water tank has the shape obtained by rotating the parabola y equals x squared about the y-axis, ...

A:

Q: Find a parabola with equation y = ax + bx +c that has slope 7 at x = 1, slope -25 at x = -1, and pas...

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Q: An employment research company estimates that the value of a recent MBA graduate to an accounting co...

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Q: Suppose C(t) is the cost, in thousands of dollars, of producing t tons of white paper. If C'(10) = 3...

A: suppose c(t) is the cost in thousands ot dollars ,ot producing t tons of white paperIf            C'...

Q: What is the differential equation of the family of ellipses with their centers origin and their majo...

A: Let us solve the problem using the basic equation of ellipse  later we will use different methods to...

Q: Find and y" for y = 0 cos e. %3D

A: y=θcosθdiff w.r.t θdydθ=-θsinθ+cosθdydθ=cosθ-θsinθ y'=cosθ-θsinθ 

Q: Suppose f and g are continuous functions such that g(7) = 4 and lim 3f(x) + f(x)g(x) = 21. Find f(7)...

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Q: ரட தொம் Graph く メ- Y O ソン 2 ミーX 3. 2. メ4

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Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx F...

Q: y = Vx (x – 1) u = i + ī + 4/15 y = f (r² + t + t')

A:

Q: EVALUATE

A: ∫ x-3x-1+x2dx

Q: II. Application of Derivatives 3. Find the tangent line to f (r) = (2– 4x²)° at z = 1.

A: