G В R K + Match each equation with a graph above E 4(1.49)" a. blue (B) |- v |2(1.22)* b. orange (0) c. red (R) - v 4(0.73)" | 4(0.88)* d. black (K) e. green (G) | 4(1.22)" +

Q: Find the slope of the tangent line to the curve below at the point (4, 7). 2x + 3y + /2xy =…

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Q: A particle moves with position function s = t4 - 4t3 - 8t2 + 25t, t2 0 (a) At what time does the…

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Q: Using the separation of variable method solve the differential equation d?/d?=4x3y3

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Q: x+729 If k(x) = complete the table and use the results to find lim k(x). X+9 X-9 -9.1 -9.01 -9.001 -…

A: Using L hospital rule find limit

Q: Qu 1 a). Determine the LaPlace transform of the differential equation y"- y = e2 ; y(0) =0 and y"(0)…

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Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) 2 sin x What is…

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Q: Assuming annual compounding, find how long it would take for the general level of prices to double…

A: Given query is to find the time taken to double the amount.

Q: An entrepreneur decided to set up a soda business. Due to this intention he bought a PET bottle…

A: 1 year = 365 days

Q: Calculate the area of the region limited by the equation r = 2+2cos φ

A: Given:  r = 2+2cos φ.

Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

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Q: Consider the function  f(x,y,z) = sqrt(xyz)   what is the gradient of F?   Determine the…

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Q: x-16 x'+8 The function f(x)=D- has derivatives f'(x)= 48 and f"(x)=- 10 (d) Determine the intervals…

A: Given problem:-

Q: dy Find dx y = = 5x° sin x coS X

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Q: Find the nth term of the given infinite series for which n= 1, 2, 3, ... 1 1 +... 2x6 3x7 4x8 5x9 an…

A: Given 12×6-13×7+14×8-15×9+.....n is from 1,2,......... to infinity

Q: 5+ 4. 2 1+ -5 -4 /-3 -2\1 1 5 -1 -2 -3 -4 -5 + 3.

A:

Q: 2. Evaluate the given line integral, (-y, x – y) · dR, where C is the line segment from (2,0) to (0,…

A: Using parametric equation, line integration is evaluated.

Q: 2 2 y-3y 2+y =1+2x°

A: The solution is given in the next step.

Q: Please

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Q: -2 Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

A:

Q: Determine the equation of the tangent line to the curve, y = 4x e at x = 1. Use exact values.

A: Given y=e4xx3     at x=1To find equation of tangent:

Q: 2. Suppose z is a function of a and y and tan(V+ y) = e*. Determine dz dz and 2

A: Suppose z is a function of x and y  tan (√(x + y)) = ez^2  We have determine ∂z/∂x and ∂z/∂y

Q: Determine the area of intersection of the regions limited by the graphs of the equations: r= 3sin2∅,…

A:

Q: X-1 4 = = 2 – y = z 2 y-2 z-1 12 = x = -1, 3 2 Show that these are skew lines.

A: To show that the given lines are skew lines.

Q: Suppose that a cylindrical can is designed to have a radius of 1 in. and a height of 5 in b the…

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Q: 3. dt find F'(x) and F'(3) 1-2 17. Given F(x) =

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Q: For the following exercises, evaluate the integral. S(wew + w²ew*)dw 5.

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Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: (b) 352+5s+1 (d) 3 (c) 5s+2

A: Given data÷

Q: thế föllowing triangle. (bebaon as Boosla Iamiab A = 31° B= 29° C = 14 m Select the correct choice…

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Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

A: Parametric equation of line passing through a point x0,y0,z0 in the direction of N=a,b,c is…

Q: 8x + 1 10. Evaluate the integral / dx. 4.x2 + 12x + 10 11 (a) In |4.x2 + 12x + 10|| tan-(2x + 3) + C…

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Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: Express A = (3, 1, – 1) as B+ C, where B is parallel to the vector (1,4, 2) and C is perpendicular…

A:

Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) &amp; inclination θ=60To find equation of tangent:

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: Given:   f(x) = 7x+1    ,  a = 5

Q: A seagull, flying above a lake, dives for a fish according to the function h(t)=0.25t -4t +15t ,…

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Q: Question 1 Determine the inverrse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

A: L-11s-a =eat L-1as2+a2=sin(at) and L-1ss2+a2= cos(at).

Q: hi, in no.1, instead of y=x2 + 2, you entered y=x2-2, so is the graph right? the point is supposed…

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Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y=8-x, x=0, x=6,…

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Q: Find the volume OF the solid obtained by rotating about the y- axis the region bounded by Y= x2 and…

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Q: Identify the End Behaviors for the function graphed to the right 5+ Right hand end behavior: 3 As x…

A: Given query is to find the end behaviour of the function.

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: 2s-9 d. s2 +2

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Q: Determine if there are zero, one, or two triangles for the following: m ZA = 48° 1 = 10 m 3 = 12 m

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Q: V. Let z be a function of r and y, and tan y2 + x2 = z*ey. Solve for dz dz and

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

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Q: Let N1 (h) be the approximation of f'(xo) with some numerical differentiation scheme depending on h.…

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Q: The limit lim cos is an indeterminate form of type 0· o. 00. Select one: O True False

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Q: 7. Find the price per unit p that produces the maximum profit given

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Q: Decide from the graph whether a limit exists If a limit exists, find its value. lim F(x) X→1 What is…

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