Solve each of the given triangles (i.e. find the lengths of the missing sides). Parta) Part b) 160° 5√2 12

Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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Q: Consider the following. xy²z³ = 80, (5, 4, 1) (a) Find an equation of the tangent plane to the given…

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Q: Approximating the integral de by using the Trapezoidal rule and using, integral of: O 135.5 O 137…

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Q: The position function of an object is given by s(t) = 16t², where s(t) is the height in feet and t…

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Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

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Q: Decide whether the integral is improper. [In(x²) dx O proper O improper Explain your reasoning.…

A: The integral is  ∫1∞ ln(x9) dx

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Q: Given the polar equation r = The eccentricity is e = 5 The equation of the directrix is: 7 6 sin(0)'…

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

A: We need to find derivative and rearrange then in order.

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = x²,0 ≤ x…

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Q: 0. 23. L₂ (x² + x) dx

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Q: 38. f(x) ex 1 + ex

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Q: Use the substitution z = 6 sint, 1 36-22 dz (a) Calculate √√36-22 in terms of t. ≤t≤to simplify the…

A: We have to evaluate the integral : ∫136-x2 dx using the substitutionx=6sint, -π2≤t≤π2.

Q: The cost to ship a package overnight is $14.40 for the first pound and $3.90 for each additional…

A: Given :-f(x)=14.40 , 0<x≤118.30 , 1<x≤222.20 , 2<x≤3 To find :- The limit as x→2

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. Ixe¹ U = dv…

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Q: (ln(t))4 dt t

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Q: Find a plane containing the point (5,-2,8) and the line of intersection of the planes 7x+6y-z = 27…

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Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

A: To find the directional derivative of the function f(x,y,z)=x⋅y2⋅z3 at the point P(3, 1, 1) in the…

Q: Simplify the expression. ✓-25 √9 Select one: √5 3 a. O b. O c. O d. -- Wher wher 5 3 3 i

A: The expression is given by -259 To determine: The simplified expression.

Q: The owner of a skating rink rents the rink for parties at $360 if 30 or fewer skaters attend. For…

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Q: what type of a calculus calculation is this?

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Q: 4. Evaluate the integral: 1 (x³ + 1)³6x² dx S= Type U U'

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Q: If the local Linear approximation of f(x) = -2 sina+e-2 at 3 is used to find the approximation for…

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Q: f(x) = 1 1+4x2

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Q: 22. √₁² (x² – (2 (x² - 4x + 2) dx

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Q: Ja 3 x√x - 2dx

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Q: Solve the equation by using the quadratic formula. 6y + 3 = -4y² Select one: √105 √105 Da { - 1 +…

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Q: Using the the derivative method power rule. How come the answer is 2t^-3? Instead of 2t^1?

A: Given: f=-1t2 We are required to find: The derivative of f

Q: Given cos(8) = for << 플 thentan(0) = 3 +|m ○ -3 4 4

A: Given: cosθ=-35, π&lt;θ&lt;3π2 We are required to find: The value of tanθ.

Q: PROVE OR DISPROVE THE FOLLOWINCT: (SHOW FULL SOLUTION) 44 dx4 ((x ²³²= 1) inx) = 6 (x³71) x4

A: We have to proof that given expression. We know that  d/dx{f(x)×g(x)}=f(x)g'(x)+g(x)f'(x)

Q: Multiply and simplify completely: √12x³y¹5. √√6x²y-7 Your answer will be in the form A√B, where A…

A: We need to multiply and simplify the given expression.

Q: 38. f(x) ex 1 + et

A: Since you have posted multipart question, i can do first three subparts as per our company…

Q: log3 a³ b + 1 is equivalent to: O O 3log3(a)-log3(b + 1) O log3(a)-3log3(b + 1) O 3log3(a)-3log3(b)…

A: The expression is given by log3a3b+1 To write: The equivalent expression of the given expression.…

Q: Given the matrices A and B, solve for X. 5X - B = A. 5 A: - [31]-[9] = and B = -4 Select one: a. O…

A: A = -35-3   -4   ,   B = -3  4-355X-B = A

Q: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

A: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

Q: Problem 11 Express the function f defined below using step functions and find its Laplace trans-…

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Q: Given below are descriptions of two lines. Line 1: Goes through (3, 29) and (−3, −25) Line 2: Goes…

A: We know that the slope formula between two point (a,b) and (c,d) is  Slope (m)=(d-b)/(c-a)

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A: We have x=2u, y=u2+4v, z=v2, at (0,8,4). Then we have to find an equation for the plane tangent to…

Q: 9. A = (2, a 3) and B = (-1,-2) are - perpendicular each other, a=?

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Q: Use the slope-intercept form to write an equation of the line that passes through the given point…

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Q: 3 = (2x³ + 4). 3. Find the equation of the tangent line when x = -3 for the function f(x) =

A: given f(x)=(2x3+4)3

Q: 4 (3x² – √x) dx

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Q: Sketch the region then reverse the order on integration for Sx=0 Sy=x²-6x f (x, y)dydx

A: ∫x=07∫y=x2-6xxfx,ydydx

Q: 3. Determine the equation of the tangent line to the curve: y = MacBook Air 1 2 3x² when x = -1.

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Q: 6. For f(x, y) = x²exy Find fx (2,1) {needs product rule}

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Q: The electrostatic potential on all parts a a conducting circular disc of radius r is given by the…

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Q: 0 3 x√x² + 16 dx 2

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Q: Factor -3x²+36xy – 60y² : = (x+ Hint: If the leading term is negative the gcf is negative. y) (x+ y)

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