Find the exact value of each expression. (a) sin 75° sin 5° = 0 (b) cos 105° - cos 15° = 0

Q: (b) Find a particular solution of y"+9y+20y=6e-5x

A: Particular solution is  −6xe−5xExplanation:

Q: Q.3

A: (a) The series INFINITE SUMMATION n=1 of (n²) / n diverges.(b) The series INFINITE SUMMATION n=1 of…

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: The given revenue function

Q: d 3 Evaluate dx √√In(6 - x²) at x = 1.

A: −15ln(5)32​2​Explanation:

Q: a homeowner wishes to insulate  his 1200 square foot house's attic. The total cost C (r) for r…

A: The homeowner should place 9 inches of insulation in the attic to minimize the total…

Q: Can you do part (b) ?

A: The solution is given below please refer to the solution  and if you have any doubt with regards to…

Q: #6: A particular solution of the differential equation _y" – 12y + 35y = ex cosx has the following…

A: Option E ) e7x(Acosx + Bsinx)Explanation:Step 1:Given non homogeneous differential equation has…

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y = stu²…

A: ∂s∂z​=∂t∂z​=∂u∂z​=0,  when s=3,t=1,u=5 Explanation:

Q: Use the Chain Rule to find Əz/ǝs and Əz/ǝt. z = x5y5, x = s cost, y = s sin t Z Əz || дл at ||

A: Answer is given below.Explanation:Step 1:--Step 2: Step 3: Step 4:

Q: Evaluate the integral using integration by parts √(x² + 2r) e³² dr

A:

Q: Q4\ Sketch the plane curve represented by the vector valued function = (3 cost)i(4 sint)j ŕ(t) NA…

A:

Q: What are the absolute max and min values for the following function: f(x,y) = x3+x2y+2y2 on the…

A: Answer:Absolute maximum value of function = 2Absolutely minimum value of function = 0The detailed…

Q: 1 3. Find the area under the curve y = x³ + 3 -x+4 from 0 to 2.

A: A=338​squareunitsExplanation:Step 1: Sketch the graph of the equation y=x3+31​x+4. The graph is…

Q: Consider the following function: 567 X if x-6 f(x) = k+569 if x = -6 (kx)23 if x > -6 For each of…

A: The limit of the function f(x) at x= -6   exist if =

Q: Find f'(x). f(x)=2x-Inx³

A: f′(x)=2−x3​Explanation:

Q: (a) Let vt) be a differentiable vector valued function of t. If v. (dy/dt) = 0 for all t, can we say…

A: The question is asking whether we can infer anything about the magnitude of a vector v(t), given…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: a. 40b. 0c.5​1​Explanation:a. We can evaluate the limit by direct substitution. This means we will…

Q: No hand written responses. Please provide a step by step detailed explanation (in laymen terms) on…

A: The break-even point is x=407.46.Explanation:To find the break-even points, we need to set the total…

Q: Please review and solve problem 5 part 'a', 'b', 'c', 'd' and explain how the answer was found.…

A: 5a)Domain and Range:The domain of a function represents all possible inputs that the function can…

Q: When a hot object is placed in a water bath whose temperature is 25°C, it cools from 100°C to 50°C…

A: The temperature of the second bath is 19.554765oC.Explanation:

Q: Solve the system of equations 2x - 8y = 148 1x9y=152 by converting to a matrix equation and using…

A:

Q: Question 9: Using the fact that i²= -1 and the identities: and cos(x)=(-1)" x2n (2n)!' n=0 x2n+1…

A: Given that To prove

Q: please solve this

A: Ans :  Volume = 2.24 cubic units ( approximating upto 2 decimal places)Explanation:Explaination:

Q: I need help with number 59

A: The y-intercepts are:−19​+2≈−2.3589 and 19​+2≈6.3589 ---------------------------If you are asked for…

Q: Q2 Perimeter of a rectangle is 84 inches. Find the dimensions of the rectangle that maximize the…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Hence the magnitude of the torque is 21.395385NmExplanation:Step 1:ForceF is [60,15,105]NForceF is…

Q: A = 「 ; 8

A:

Q: Solve for x. −1+ 1+x+x² + ··· + x² + 10 n where|x|<1. 3 x king and you will earn half credit for…

A: x = 1/5Explanation:

Q: Find all solutions to the quation. sin 0 = 2 Write your answer in radians in rms of it, and use the…

A:

Q: Consider Ohm's law, V = IR, where V is the voltage, I is the current, and R is the resistance. Solve…

A: answer is  -0.000155Explanation is given below.Explanation:

Q: what's the final answer to a and b?

A: The objective of the question is to find the moment of time t0 and the point P0 on the curve r(t)…

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A: Answer :(a)  62   (b)  423​Explanation:For any query please ask in the comment box.

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: Please find the attached file for details....Thank you....Explanation:

Q: Problem #1: By Taylor's theorem, we can find a Taylor polynomial P3(f) of degree 3 for the function…

A: Given: To Find: To calculate the coefficient .

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

Q: A construction firm wants to buy a building site and has the choice between three different payment…

A: Since you have at least $67,000 available for a cash payment, option (a) might be initially…

Q: Recently, a certain bank offered a 5-year CD that earns 2.7% compounded continuously.If 20,000 is…

A: The objective of this question is to find out how many years it will take for an investment of…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) 1-8 Inx;…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: ☐ Let 60, 61. Which of the following must be true if y = log(x)? Check all that apply. ☐ y = b² 1 y…

A: Option C is correct Option D is correct Explanation:

Q: Find the volume of the solid generated by revolving the region bounded by the parabola y = and the…

A: To find the volume of the solid generated by revolving the region bounded by the parabola  and the…

Q: dx Assume that x = x(t) and y = y(t). Let y=x3+2 and =5 when x=3. dt dy Find when x=3. dt dy…

A:

Q: Find the partial derivatives of the function მა მო მო მs მო Ət w = 9r2 + 3s2 + 32 G

A: ∂r∂w​=9r2+3s2+3t2​9r​∂s∂w​=9r2+3s2+3t2​3s​∂t∂w​=9r2+3s2+3t2​3t​     Explanation:

Q: If 0=34°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: Answer is given below :-Explanation:

Q: Use logarithmic differentiation to find the derivative of y with respect to the independent…

A:

Q: John is floating on a tube in a wave tank. At t 1 second, John goes over a wave at a maximum height…

A: We need to solve the sinsoudial model problem.

Q: Given the given cost function C(x)=8600+640x +0.5x² and the demand function p(x) 2 Find the…

A:

Q: The random variable X has the probability distribution table shown below. x 46810 12 P(X = x) 0.2…

A: The objective of the question is to find the missing values in the probability distribution table…

Q: Let (f : [0, infinity) -&gt; R be an arbitrary continuous function, which is differentiable on…

A: The objective of this question is to prove that a function f(x), which is continuous and…

Q: X -3 = 5x² + xy² + y³, a = น y (5 points) Suppose f Compute the gradient of f at a. Vf(a) = Compute…

A: ∇f(a)=[−29−3​] The Directional derivative of f at a in the direction of v [5​29​5​−6​​] C=43…

Q: Find an equation of the ellipse with vertices (0, 3), (12, 3) and eccentricity e = Select one: a.…

A: Vertices:eccentricity, e=