To find the distance across a small lake, a surveyor has taken the measurements shown in the figure below. If a = 850 ft, b = 960 ft, and C= 75°, find the distance across the lake. b ft a ft 874.65 ft 1242.09 ft 978.45 ft 1105.31 ft C

Q: Weather condition Sunny Cloudy Rainy Snowy Percentage of days 42% 31% 18% 9% A) 1240 B) 3300 C) 2100…

A: Number of days in 2008 = 366 ( leap year ) Number of sunny days  =42%*366=0.42*366 Number of people…

Q: 10. If 3(a, 3, 2)-2(3, b, b) = (-3, 1, -2), determine a and b. Describe the set spanned by the…

A:

Q: Evaluate the following integrals by substitution. Show your complete solution. Express your answer…

A: We have to find integral solution

Q: x²+2x+1 dx (x+2)(x−1)²

A:

Q: Is partial fraction decomposition always possible? If YES, Explain If NO, Explain

A: We have to explain given statement.

Q: What is the exact value of z? – y if (x, y) is the corresponding Cartesian coordinates of the polar…

A: Given that the polar coordinates (r, θ) = (-2, -π/3) We have to find x²-y² where (x, y) is the…

Q: Evaluate the integral. (y – 2)(2y + 1) dy Jo |

A: ∫xndx=xn+1n+1+C ∫1dx=x+c

Q: Give a formula for the nth positive even integer: Here is a theorem: 1+ 2+3 + ... + n п(n+1) n = Use…

A:

Q: Find each limit, if it exists. (a) lim + 4 x-00 x - 3 X4 + 4 (b) lim X 00 x -3 + 4 (c) lim X- 00 x3…

A: All the limits are in indeterminate form, just taking common  some power of x from numerator and…

Q: Determine the position function if the acceleration function is a(t) = 6sin t+5, the initial…

A:

Q: per ale hey sepalating 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate…

A:

Q: Find dy/dx: 1. y = J" cos t dt

A: Given

Q: Solve the given differential equation by undetermined coefficients. y'' + y = 6x sin(x)   y(x)=

A: Follow step 2nd .

Q: dr

A:

Q: Find two positive numbers satisfying the given requirements. The product is 172 and the sum is a…

A: We find two positive number that product is 172 and sum is minimum.     Here i attached the solution…

Q: Find the area of the region bounded by the graphs of the equations. y = -x² + 6x, y = 0

A:

Q: Evaluate khefaltowing cartesian integrals by changing them inteequiv alent Palar integrals: dy dx

A:

Q: From the graph below which statement is true? (A) not a function (B) function; domain: R (C)…

A: To determine which of the given options is true for the given function

Q: Refer to the graphics addendum (A). The impedance shown is connected in a O Red leg Delta…

A: The given diagram is a wye or star configuration. Impedance of a given configuration is calculated…

Q: Given two vectors u and v that form an angle of 60° (when joined tail to tail) and given that | V| =…

A:

Q: Sixth derivative of a sixth degree polynomial is a line. Select one: O True O False

A: Given : Sixth derivative of a sixth degree polynomial is a line. To find: State whether the above…

Q: Find an equation for the tangent plane to the surface given by f(x,y)=÷(4x² – 2y²) at the point…

A:

Q: dx = 4x +2y+e'+t dr Write the system in matrix form: dy - 2x - y+ 3e' di 4 A. X'= 1 4 B.X' = 2 -1 3…

A: We have to find the system in matrix form.

Q: A MANUFACTURER NEEDS TO MAKE A CYLINDRICAL CAN THAT WILL HOLD 1.5LITRES OF LIQUID. Determine the…

A: Follow the procedure given below.

Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

A:

Q: Show the repeating decimal .2727272727 repeating.... as an infinite geometric series. Give sum of…

A: This question can be solved using the concept of infinite geometric series.

Q: 1) Evaluate lim 10 VX-5 X-25 x25

A: We can find the limit as below.

Q: Find an equation of the tangent line to the graph of the function at the given poin y = x²ex - 2xex…

A:

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A: Given that the volume V of a right circular cylinder is given by the formula V =(pi)r2h, where r is…

Q: Given the general solution for a system X' = AX, X=C 2 + C2 e and 2 find the value of Ci & C2. 4 the…

A: Given;  X'=AX X(0)=(2            4).

Q: Determine the direction vector of the following lines where lz is in 3D a) l1:2x – 3y + 6 = 0 %3D -…

A:

Q: Find the sum of all the odd numbers between

A: Given,            Sum of all odd numbers between 21 and 355 inclusive.To find : Find the sum.We know…

Q: 9-x2 dx x2 Evaluate:

A:

Q: Sketch the graph the integrands and use areas to evaluate the integrals. | Ix| dx -2

A: Follow the procedure given below.

Q: Select the conic section represented by the equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 circle point…

A: We can select the conic section as below.

Q: Consider a triangle where A = 30°, a = 1.3 cm, and b = 1.3 cm. a b B A (Note that the triangle shown…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 line hyperbola circle…

A:

Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) : (t…

A: I am attaching image so that you understand each and every step.

Q: 2 Find the transformed equation of the hyperbola xy = 4 when rotated 45. (x')² - (y')² = 8…

A:

Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

A: Volume

Q: Which of the following is the Taylor series expansion of the function (x) =ex? with center at 0. 00…

A: Taylor Series representation of e-x about x=0 is given by, e-x=∑n=0∞-1nxnn!....(i)

Q: Given that the vectors X1 = () e- -2t ,X1 = (C)e-6t are solutions of a system x' = AX, do they form…

A:

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. Suppose a car is travelling on a straight road and s(t) is the distance travelled after For…

A:

Q: B) Find the number of bacteria after 5.5 hours.

A:

Q: Region bounded by: y=1/2x, x=2, x=4. y=0 Rotate about x-axis. Find the area

A:

Q: 2. [ID # ending in 4 or 7] 2 av Determine (+) ax if v csch y = e*x² . дх ду ду

A: