y-329 and recieved an incorrect mark. Also remember we are solving for Z so put the answer as an equation for z and not 0

Q: 7. Solve for x: 16 X 70⁰ 10

A: As we know from the Sine Rule: sinAa=sinBb=sinCc Given:

Q: Solve using the elimination method. 0.2x 0.5y = 1.1 0.5x 0.2y = 1.7 (Hint: Since each coefficient…

A: 0.2x-0.5y=-1.1.....(1)0.5x-0.2y=-1.7..........(2)

Q: 10. The average rate of change of f(x)= x² + x over the interval 0 ≤ x ≤ 4 is a. 20 b. 4 c. 5 d. 1

A: f(x)=x2+xinterval is  0≤x≤4formula for average rate of change is favg=f(b)-f(a)b-a

Q: 3. Determine whether the series is convergent or divergent. State which test for convergence or…

A: SOLUTION: Given that ∑k=1∞ke-k2 Now we have to determine whether the series is convergent or not .…

Q: This problem illustrates the Second Derivative Test. Let f(x) = - arctan(x²) + 3 . (a) Find f'(x) =…

A:

Q: Find the point on the graph of the function f(x)=(sqrt x) that is closest to the point (18,0) .…

A: The solution is shown below-

Q: let y = 5 log2 x³ find y' O 15/(In2 +x) O 15/x O (5/In2)(3/x) noe of the above

A:

Q: (3) Evaluate the slope of the tangent line for the graph of the x2 x²+1 at x = 1 function h(x) =

A: The given function is: hx=x2x+1  To find the slope of the tangent line at x=1

Q: If x² + y² - 3xy² = -1, find dy/dx in terms of x and y. Using your answer for dy/dx, fill in the…

A: Given equation:- x2+y3-3xy2=-1

Q: The average rate of change of f(x) = X a. 2 b. 0.5 over the interval 1 ≤ x ≤ 2 is c. -0.5 d. -1

A: we will find the required.

Q: Find the derivative

A: We are required to find the derivative of (a) y=cos2tan1+x3(b) f(t)=3csc5πt-71-cotπt5-7

Q: 4. Evaluate the limit, if it exists: lim x+1 a. 1 b. -1 x²-3x+2 x-1 c. d. 0 does not exist

A:

Q: The number of cell structures in a Minbari stem cell (fictional) is modeled by f(t) = 1 + 30t - 10t³…

A:

Q: A spherical balloon is being inflated in such a way that the radius of the balloon is increasing at…

A:

Q: given by C(x) = -0.07x² + 75x. Find C(288) C(287) Interpret the result

A: we will find the required.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: To solve the following problem

Q: Determine if the function f(x) = 2+2x– x³ satisfies the hypotheses of the Mean Value Theorem (MVT)…

A:

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: Given: I=∫1121∫y11ydxdy It means that the region bounded by the curves x=y, x=y11 from 0 to 121 is…

Q: Use Lagrange Multipliers to find the maximum value of f(x, y, z) = 2x + 2y + z, subject to the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is find the partial…

Q: that the cords have been disconnected from the device. "Computer, how do I plug in these cables",…

A: f(x)=ln(3x) f'(x)=313x = 1x f'(c)=1c   it is required Red cord.

Q: Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = = domain X…

A:

Q: Use graphical addition to sketch the graph of f + g. y y f+g 2 f 2 2 f+g g 4 4 4 6 6 6 8 8 X 2 2 f+g…

A:

Q: -4 +00 24 y 2 -20 -2 4 2 4 ४ c. 1

A: we will find the required.

Q: a) Find all of the critical points of x2 - x - 1 b) Find all of the critical points of x3 - 3x - 2

A: We have to find the critical points.

Q: Find the sum of the convergent series. (Round your answer to four decimal place Σ (sin(7))" n = 1

A:

Q: lim x 8个 xxx 782_11x+67 cx87-67 lim ax87-11x+67 Cz87-67 lim x →∞ ar ax87-11x+67 cx82-67 =C =C =C

A:

Q: (a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is…

A: Let m be the derivative of y w.r.t x at the given point x, then the slope is m. The equation of the…

Q: Consider the following equations. f(x) = √x + 5 g(x) x+5 Sketch the region bounded by the graphs of…

A:

Q: Find the critical points for the function f(x,y)=32xy−(x+y)^4 and classify each as a local maximum,…

A: To solve the following problem

Q: Find a plane containing the point (-5,6,5) and the line Calculator Check Answer x (t) y(t) z(t) = =…

A:

Q: 5. Find the points on the graph of f(x) = x³ - 3x where the tangent line has slope 0.

A:

Q: What is the minimum value of f(x) = e-x + x on the interval [-2,3]

A: Given; f(x) = e-x + x , [-2,3].

Q: 1. Use the differential form of the chain rule to find if y = ² and u = x² + 1. 2. Find the…

A:

Q: The dosage for a certain type of chemotherapy drug depends on several parameters of the particular…

A:

Q: Use the graphs of f and g shown below to find the following: (a) g (f (2)) = (b) f (g (4)) EHH f(x)…

A:

Q: cos x ln(sin x)dx

A:

Q: F(x,y) = 1 - e^-(x+y). I need to find the partial derivative defined by this expression, how do I do…

A: The Power Rule: ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x And Use the common derivative. ddxex=ex…

Q: let y = x. In x find y' O In x 0 1 O 1 + Inx none of the above

A:

Q: let y = 5 log (x+1) find y'

A:

Q: 3. Determine whether the series is convergent or divergent. State which test for convergence or…

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

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A:

Q: The sequence {an} is defined by a₁ = 2, and an+1 for n > 1. Assuming that {an} converges, find its…

A:

Q: 1. Make a sketch for each parabola a. y² = 4x b. x² =−16y

A: To draw parabolas

Q: Find the critical points for the function f(x,y)=5x^2−10xy+6y^2−4y and classify each as a local…

A:

Q: 3√/t-1 S (³√t=¹) dt = 3 − 2t + c - C

A:

Q: F(x) f(x) 1 + f²(x)*

A: Given, F(x) = f(x)1 + f2(x) f'(x) is defined for all x∈[a,b]|f(x)| < 1 for all x∈[a,b]That is,-1…

Q: Find the derivative of the function. F(t) = e5tsin(2t) F'(t) =

A:

Q: Find the limit. sin(8) lim 0 0 90 + tan(0)

A: It's in a 0/0 form, so we can apply L'hopital rule.

Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

A: We have given that height of the ball after t seconds is s=-2.7t2+30t+6.5

Q: Solve y'+y=ex, y (0)=1

A: Solution-