If B = 29° and a = 9, determine the value of c. Round to two decimal plac b Type only your numerical answer. Do not include a label.

Q: Fill in the Blank a. This is the arm of the angle that lies along the positive x- axis. b. The…

A:

Q: A mass attached to a vertical spring has position function given by s(t) = 5 sin(4t) where t is…

A: Given: s(t)=5sin(4t)

Q: 3) graph of : Estimate the area under the f(x) = x² + 1

A:

Q: Use the function to evaluate the indicated expressions and simplify. f(x) = x + 8 f(x2)  =…

A: See this solution in below.

Q: Which of the following vectors is orthogonal to both of the vectors i+k and -j + k? Select one: O…

A: We know that a vector which is orthogonal to two given vectors simultaneously can be found by their…

Q: lim sin¹ (Inx) x->e

A: We need to evaluate the following limit limx→e sin-1lnx

Q: Which of the following polar equations describes a circle centered at (2, 3) with radius? (A) r 4…

A: GivenCentre of the circle is 2,32 and radius of the circle is 52   We are required to findPolar…

Q: Find the artied mainly do the Чтоза g(x) = 4x6 e

A: To find the critical points for the given function

Q: Find the derivative of the function using the definition of derivative. u + 1 5u 1 g'(u) = g(u) =…

A:

Q: Find the Linearization L(x) of y = (2 + x)−¹/² at a = 2. L(x) = .01 ←

A: Please see the below picture for detailed solution.

Q: Find the sum of the convergent series. Σ(-3) n=0

A: Given: Convergent series:     sum (-2/3)n  Limit : 0 to infinity

Q: Starting with the graph of a basic function, graph the following function using the techniques of…

A: Solution: Given function, f(x)= -(x+1)3-3

Q: The data can be modeled by the function f(x) = 1.2lnx + 15.7, where f(x) is the percentage of the…

A: The function is given as , fx=1.2lnx+15.7 where fx is the percentage of the U.S. gross domestic…

Q: Find the surface area of the surface generated by rotating the curve y = cos (x/2), 0 ≤ x ≤ π/2,

A:

Q: 29. Two sides of a triangle are 4 m and 5 m in length and the angle between them is increasing at a…

A: see below the answer and explanation

Q: If 68 + 5 f(x) + 7x² (ƒ(x))³ = 0 and ƒ(−3) = −1, find ƒ'(−3). f'(-3) = |

A: 68+5f(x)+7x2(f(x))3=0 f(-3)=-1d dx(xn)=nxn-1d dx(a.b)=adbdx+bdadx

Q: i)! ii) : Evaluate √ ₁ (x + 2)√z = 2dx Let f(x) = { 3x²+2, if x < 2 2x-3, if ≥ 2 be a piecewise…

A:

Q: Given the equation below, find dy dx y = 12x¹0 + 7x²4y+y³ = 20 dy dx Now, find the equation of the…

A:

Q: Find the domain of the function. f(x)=√√5x-30 The domain is (Type your answer in interval notation.)

A: Givem function f( x ) = 5x-30

Q: A graphing calculator is recommended. Use Simpson's Rule with n = 10 to estimate the arc length of…

A: Given Function,y = ln9+x3,0≤x≤5,n=10

Q: Find cofactor C2,1 of the matrix -2 -1 -1 7 5 -1 -17 6 2 8 6 0 -2 5 80

A: Answer Is in step 2.

Q: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…

A: If C(x) is the cost function then C'(x) is the marginal cost.

Q: nd the nth Taylor polynomial for the function, centered at c. f(x) = x²cos x, n = 2, C = T -(x) =

A:

Q: Given the function f(x) = -2x² Find the difference quotient f(x+h)-f(x) h Find f'(-2) (This slope…

A:

Q: Exercise 1 Let f(x) := x 1 = log.x i) Determine the domain D of f, sign, limits and eventual…

A:

Q: The particular integral of the following ODE, y" + 5y +6y= 10 sin(t) + 6t + 5 has the form of Yp=bo…

A:

Q: Suppose that 1.² 1 (1 + x2)3/2 dx = 1½ Then a =

A:

Q: Test the series for convergence or divergence. Using the Root Test, we evaluate lim n→∞ Since the…

A:

Q: e-32 sec(e-32) tan(e-³²)dz

A:

Q: The symmetric equation of the line that passes through the points A(1, 2, 3) and B(4, 6, 8) is:…

A: To determine the symmetric equation of the line that passes through  the points A1, 2, 3 and B4, 6,…

Q: 33. Demography The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2008…

A:

Q: Suppose the graph of y= f(x) is given by the figure as indicated A Evaluate Iim f(x) x->-3 (-3,2)…

A: Here we have to find the limit.

Q: Find the area of each sector. 47) 240° 12 km

A:

Q: Let g(x) = 6x² - 8. (a) Find the average rate of change from -5 to 9. (b) Find an equation of the…

A: The given function gx=6x2-8. We have to find the average rate of change from -5 to 9 and an equation…

Q: Determine the sum of the following series. ∞0 3 +7 (**) n=1

A:

Q: 11. If a snowball melts so that its surface area decreases at a rate of 1 cm² /min, find the rate at…

A:

Q: Please help solve the follow-up question from the above question number 6 thank you

A:

Q: Click here to view the transcript When writing a rational function as a power series, if the…

A: When writing a rational function as a power series, if the numerator has degree one less than the…

Q: lim x-> ₁+ 2x I-xIJ - tanh tanh lái)) (½))

A: According to question,Given limit,limx→1+ 2x1-x-tanh1x-1

Q: Given z = ln(√(x2+y2)), find (∂2z)/(∂y2) and (∂2z)/(∂x∂y)

A: Given,             z=lnx2+y2To find : Find ∂2z∂y2 and ∂2z∂x∂y

Q: Find the local m and M value and saddle points of f(x,y) =. x^4+y^4-4xy+1

A: Given function:- fx,y=x4+y4-4xy+1

Q: A rectangular swimming pool 40 ft long, 25 ft wide, and 14 ft deep is filled with water to a depth…

A: Given that , Length = 40ft Width = 25ft Depth = 14ft Depth of water = 12ft Density of water δ=62.4…

Q: lim ∞-1x e* (sin (¹) + cos (¹)) (x - 2)²

A:

Q: Suppose f(c) exists and f’(c) = 0, then the point x = c of the function f(x) is called

A:

Q: For the above function f(x) = 5.0.7², estimate f'(x) using h = 0.001 for the following three values.

A:

Q: Let R denote the region in the first quadrant bounded by the curve y = 4e²x and the x and y axes.…

A: Please see the below picture for detailed solution.

Q: A conical tank has height 3 m and radius 2 m at the top. Water level is rising at a rate of 2.1…

A: Volume of the cone is defined as 13πr2h To find: dVdt at h = 1.5m

Q: 4. lim (x²+2x − 1) x43 5. 6. lim [(x-4)5] = | x45 lim [(x-2)(x+2)] = 12 x-4 7. lim x-3 8. lim x4 9.…

A:

Q: The cross product of the two vectors u = and v= is the vector : Select one: w = 22, 16, -34 > 22,…

A: Here is the solution:

Q: Four particles are located at points (1,3), (2,1), (3,2), (4,3). Find the moments Mr and My and the…

A: