x2 1. Let f(x) = 3Vx² – 1 and g(x) x4 – 81 (a) Determine the domain of f and g. (b) Compute gof and find its domain.

Q: Assume s is an angle with sin (s) = ,t is an angle with cos (1) = =. and both angles are between 0…

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Q: Simplify f and find any vertical asymptotes of f. x²(x+8) f (x)= x²+ 8x

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Q: 3 Assume that sin (x) = and sin (y) = -, where < y < 2x. Calculate the indicated function value. <x…

A: We can find sin(x-y) as below.

Q: Find the equation of the tangent line at the given point on the curve. 3y - Vx = 23, (16,3) y =

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Q: Refer to the graph in the textbook. If x screwdrivers produced in thousands, and y represents the…

A: The total cost of producing 20 thousands of screwdrivers is 20,000 dollars

Q: 7-x 17) dx

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Q: Given –6i is a root, determine all other roots of f(x) = x + 2x² + 36x +72. x= -6, ±2i x = -2, +6 x…

A: Given query is to find the other two roots.

Q: Consider the following. u = -6i - 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b)…

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Q: esin 2x [In (cos 2a)]? 2esin 2( cos 2x In (cos 2x) + 2 tan 2] 2esin 2a (cos 2x ln (cos 2x) + 2 tan…

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Q: If W = xyz with x = 2t*, y = 3t-, and z = 4t¬³, what is dw dt 24 O In(t)

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Q: Given that Vƒ(4, – 15) = 4i – 2 j, find the directional derivative of the function f at the point…

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Q: If the function /6- 830 is continuous at x=0, then a- 1+2acosx D a 1 6 -1

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Q: Thìnking. Inquiry. Problem Solving.[11] (3] 13. Find the equation of the following graph. Give your…

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Q: el/x 8) 5x2 xp-

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Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

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Q: A driver accelerates when the car is traveling at a speed of 30 miles per hour (i.e., 44 feet per…

A: This question can be solved by applying the equation of motion.

Q: 2 f(x) =-x³ + 3x² +9x (a) Find the critical points, extrema, and y int. (b)find intervals where the…

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Q: 3 5 where x and Зл < y < 2n. Assume that sin (x) = sin (y) = - Calculate cos (x – y). (Give an exact…

A: Here, sin x=35; π2&lt;x&lt;π⇒cos x=-1-sin2x=-1-352=-1-925=-25-925=-1625=-45 And, sin y=-56;…

Q: y=x/x+1 is a solution of what differential equation

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Q: to find thę coordinates of the absolute extremum (absolu maximum and/or absolute minimum) for the…

A: f(x)=-3x4+12x+2f'(x)=-12x2+12f'(x)=0-12x2+12=012x2=12x2=1x=±1Critical points ;…

Q: Find the limit. (If you need to use o or -oo, enter INFINITY or -INFINITY, respectively. Round your…

A: lim  ln(x-2) x--2+ here we can direct apply limit  ln(2-2) = ln0 =  INFINITY

Q: The solution is y = (Type an expression.)

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Q: 5. x3 + 2x – 6 dx x4 + 2x2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 43. fry(x, y) if = e"* f(x. y) en?

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = xy. The directional…

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Q: cOs x 1. S sin x (1 + cos x) ecosx dx

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: This question can be solved by applying the concept of vector of magnitude x in the direction or in…

Q: Question Find the absolute maximum and absolute minimum of the function f(x) = over the interval[-4,…

A: Use critical point to evaluate the absolute maxima and minima .

Q: 5. Use L'Hospital's rule to compute the following limits (a) lim a In(x) (b) lim sin(z) (c) lim…

A: Here are the solutions: We will use L'Hospital rule and differentiate the numerator and denominator…

Q: Find the vector component of v = (4, – 1,7) along b = (2, 6, –9) and the vector component of v…

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Q: Use the First Derivative Test to find the location of all local extrema for the function given…

A: The given function,    f(x)=-7+20x2+10x33

Q: Use the first derivative test to find the location of all local extrema in the interval (1,7) for…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Given query is to find the average height

Q: Find the area between  F(x) = x^2-5 and the x-axis from x=0 and x=9

A: Given query is to find the area under the curve.

Q: Write the form of the partial fraction decomposition of the rational expression. бх — 1 († – x)x A В…

A: (6x-1)/x(x-4) it is very simple because in numerator there us multiplication given so A/x + B/(x-4)…

Q: TEST 1. DETERMINE WHETHER EACH OF THE FOLLOWING FUNCTI a. CONTINUOUS b. DIFFERENTIABLE 1. f(x) = 5x-…

A: To determine whether the given functions are continuous and differentiable or not.

Q: Find the area between the curve ​f(x)=x^2​+15 and the​ x-axis from x=3 to x=5.

A: Given query is to find the area under the curve.

Q: 197 Find the sine and cosine of - 12 197 Note that 12 Use sum or difference formulas involving…

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Q: Sz IF A-(-2 4) 2 3-( (-24リ Cュ Prove! CA *B) *C = AK( B+C)

A: We want to show the above equation is true.

Q: Question Find the critical points of the function 2 + 32x2. 5/2 f(x) =

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Q: =i-j+ 2k and Find the area of the parallelogram that has u v = 2j + k as adjacent sides. NOTE: Enter…

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Q: xx+x dx

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Q: The angle between (0, –6, 2) and (4, 8, 7) is: O A. orthogonal - O B. acute.

A: We will use geometric definition to determine the angle.

Q: show

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Q: Determine if the following statement is true or false. The points P1(14, 8, 9), P2(7, 4, 0), P3(0, –…

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Q: Let s be an acute angle so that sin (s) = Find the indicated value exactly. cos (2s) (Give an exact…

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Q: Given are two points [1,3] and (6, –1] in the plane. Which equation of the form a ·z + b•y+c=0…

A: (y-y1)/(y2 -y1) = (x-x1)/(x2-x1) (x1,y1 ) = (1,3) (x2,y2 ) =(6,-1) (y-3)/(-1-3) = (x-1)/(6-1)…

Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

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