Use the Law of Cosines to determine the indicated side x. (Assume a-b-40. Round your answer to one decimal place.) x Enter a number. A b Need Help? Read it 140° X Watch a B

Q: Let f(1) = 1, g(1) = -3,h(1) = 2, f'(1) = -1,g'(1) = 2, and h'(1 d f(x) g(x) dx h(x) Find when x =…

A: Please refer to the image below

Q: Find the equation of the normal line to the curves at the point of tangency, if given. 1.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Determine the equation of the line tangent to the curve y = 4( 4(x + 3)² at the point (5,64). y =

A: given y=x2x2+41

Q: Find the equation of the normal line to the curves at the point of tangency, if given. 1.…

A:

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 2. y x²-4…

A:

Q: a Ső 8 ea - e X a dx

A: ∫0aexa-e-xadx=∫0aexadx-∫0ae-xadx=ae-1-a1-1e=ea+-2e+1ea

Q: Q3. Differentiate f(x,y) = xy² + √x+y² 2 1/1

A:

Q: if f(x)=x^3-16x a) find the domain and range of f b) state approx the open intervals on which f is…

A: For a)

Q: 1. (2xy-3x²) dx + (x² + 2y) dy = 0

A: Given 2xy-3x2dx+x2+2ydy=0

Q: Question 6 Given f(x)=√, g(x)=x²-1, x > 0. Find the value of f (g (3)). O 2√8 O (E) O 2√2 O√3

A:

Q: Use the graph to determine (a) open intervals on which the function is increasing, if any (b) open…

A: Use graph to determine

Q: Solve (x² + y) dx + (y³ + x) dy = 0 O x^3/3 + xy + y^4/4 = c O x^3/3 - xy - y^4/4 = c O x^4/3 + xy +…

A:

Q: (Initial Value Problems) Solve the following initial value problems: dN (a) d = t-, t≥ 0, N (0) = 60…

A: Given IVP   is dNdt=t-13         t≥0 , N(0)=60

Q: b) lim 818 c) lim 818 2x³-3x+1 3x4+7x³-2x-1 sin (x+3) X

A:

Q: 1. y=x²(x-1) at the point (2,8).

A: find slope Given point ( 2 , 8 ) for x = 2

Q: direction:  find the derviative  (10)  y=in(x^2 +4)-1/2  arctan x/2

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.

A: Given, y=x2-1x

Q: 4 ✓ y= √4-x² (Equation of a semi-circle) c) 2 Find the (using calculus). in quadrant I (QI) a) setup…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: The function is given by y = x3-23x2+4 To determine: The derivative of the function.

Q: 44. Suppose that f(4) = 2, g(4) = 5, f'(4) = 6, and g'(4) = -3. Find h'(4). (a) h(x) = 3f(x) + 8g(x)…

A: Simply use differential formula and we can easily solve it Please see the solution Thanks

Q: 8. Sketch a possible graph of a function g, together with vertical asymptotes, satisfying all the…

A:

Q: Q3. hyperbola has vertices (-5,-1) and (3,-1) and foci (-6,-1) and (4,-1) Sketch the hyperbola a) b)…

A:

Q: A right circular cone with radius r and slant height / has surface area given by A = nr² + nrl. When…

A:

Q: P(w)=2w^2 -w +4 /√w *Differentiate the function

A:

Q: Find the third derivative of f(x)=^3sqrt(9x+1)

A:

Q: Question 9 Find the limit: lim, 7 O(E) O21 9 07 O 3

A:

Q: Let f(x, y) = (- (x + y))³. Then = 82f дхду ә3f дхдудх 83f дх2ду ||

A: Given, f(x,y)=-x+y5

Q: lim 1 t-> +→> -∞0 17 + cot = ² +

A: note that cot^-1(- infinty)=0

Q: e demand function for math self-help videos is given by 55 -0.2x, and the total cost function to…

A: Given query is to find the marginal profit at x = 20.

Q: Use vector notation to describe the points that lie in the given configuration. (Let s and t be…

A: Given that  The plane spanned by.  v1 = (5, 6, 0) and v2 = (0, 5, 6)   To find :- The vector…

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. z = x¹y¹ + z −…

A:

Q: Evaluate the following integrals a) S √1+x-√1-² dx (Hint: Maybe you need to rationalize the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the intersection (if any) of the lines =(4,-2,-1) + t(1,4,-3) and F = (-8,20,15)+u(-3,2,5).

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given function, y=x2-1x

Q: Find lim x² sin X-0 O O Choose the correct answer below and, if necessary, fill in the corresponding…

A:

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. 2 = 4.4 - x³y²…

A: To find the equation of the tangent plane to the surface determined by x4y4+z-35=0at x=3, y=4.

Q: .Find the position and velocity vectors of a particle that has the given acceleration and the given…

A: Given :- a(t) = 4i- 72j+ (72t + 4)k v(0) = i+ k r(0) = j+ 3k

Q: If z = (x + y)e", y = 5 - t², find dz/dt using the chain rule. Assume the variables are restricted…

A:

Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by C(x) =…

A: We have that, The daily cost (in dollars) of producing LG ultra high definition televisions is given…

Q: Find the derivative of each function using the basic properties of differentiation. 1. f(x) = 5-7x…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: Find the derivative of the following function. f(x) = − sinh 36x f'(x) =

A: Finding f'(x)

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 1. y…

A: Recall: The slope of tangent line to the curve y is, mT=y'x0,y0 The equation of the normal line is,…

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: 2. Evaluate the following limit (tabulate). 4- x² lim x+2 3-√√x² + 5 O None of the choices. O 0 O It…

A: limx→ 24-x23-x2+5

Q: Evaluate the following integral. S S e 5x e 5x 5x e +6 5x+6 -dx -dx = ***

A:

Q: Find(x(ax+b)), where a and b are constants (a) x(ax+b) ax(1 + ln x) (b) x(ax+b) (x + ax ln x + b)…

A: To find:ddxxax+b

Q: Let f(x, y) = (- (x+y))³. Then 02f ?х у ә3f дхдудх ә3f дх2 ду о

A: This question can be solved by the concept of partial derivatives.

Q: If f ( x ) is a linear function, f ( − 2 ) = 0 , and f ( 3 ) = 2 , find an equation for f ( x )

A: We have, f-2 = 0f3 = 2 To determine: The expression of fx if it is a linear function.

Q: Kindly answer 6 and 7

A: Need to find out that the given differential equation is exact or not.