Evaluate the integral π/8 I 3 0 cos 4t sin 4t dt.

Q: 75 ft X 0 A pole stands 75 feet tall. An angle is formed when wires of various lengths of x feet are…

A:

Q: 2. In each of the following, verify that the given expression is an explicit or implicit solution of…

A: b) To verify whether y^2 - 2x^2*y = 1 is an implicit solution of the given ODE, we need to check…

Q: 3 4. S dx -1 √7+6x-x 2

A:

Q: Find the Derivative for the following functions 1) y=e6x² 2) f(x)=(x²+2)e*

A:

Q: Answer (1), and (11) only. Exercise 1 Let f(x):=x|1 - log x i) Determine the domain D of f, sign,…

A: To determine the domain of f, we need to consider two cases: when the absolute value term is…

Q: Find the 20th term of the geometric sequence with a = 1/8 and a7 = −1/64 a20

A:

Q: 44. Biology The number Y of yeast organisms in a culture is given by the model 0 ≤1≤ 18 1…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: A patient is adminstered a dose of 70 mg of a drug. If the body naturally disposes of 7% of the drug…

A:

Q: alim x-> ₁+ ( ax Ei-xII - tinh (đi))

A: Given: limx→ 1+2x1-x-tanh1x-1

Q: Find y = -7x' dy dx S

A:

Q: 6 The power series 1(-1)( k (x+1)k k k= A converges if and only if x € (-2,0) B converges to -log(x…

A:

Q: Suppose y = 6x ln x. Find the differential: dy = dx.

A:

Q: 1 3. If y=u³ + u²-1, where u = 1-x " dy dx determine Use Leibniz notation .

A:

Q: For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. 9x…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: A graphing calculator is recommended. A digital delay device echoes an input signal by repeating it…

A:

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. cos(105⁰)

A:

Q: area

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: you

A:

Q: Graph the following function using the techniques of shifting, compressing, stretching, and/or…

A:

Q: b. f(x) = − 1024 3

A: f(x)=-103x4antiderivative of f(x) is F(X)=∫f(x)dx∫xndx=xn+1n+1+c

Q: Find the equation for the tangent to the graph of y at 3, y=sin X -¹(-3) 6 - π 6

A: We need to find the tangent to the graph of y at 3, -π6 for y=sin-1-x6. Now,…

Q: 19) An investment of $5000 grows to a value of $7500 in 4 years. What is the interest rate of the…

A: Finding the rate of interest

Q: Problem 3. Find the equation of the tangent plane to the graph of z = 4x³ + 3y² at the point above…

A:

Q: A box with a square base and open top must have a volume of 415292 cm³. We wish to find the…

A: Let length of square base=x cm and y be height of box

Q: Direction: Find the complete solution of differential equation and use typewritten.…

A: Given differential equation  (x+4y3)dy -ydx=0 (x+4y3)dy=ydx(x+4y3)y=dxdyxy+4y2=dxdydxdy-xy=4y2

Q: 4. Find an antiderivative of the given function. d. f(x) = 2 cos(x) e. f(x) = sin(3x) + x²

A:

Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of…

A:

Q: If B = 29° and a = 9, determine the value of c. Round to two decimal plac b Type only your numerical…

A: As we know that the trigonometric ratios:…

Q: The current population of a certain bacteria is 5276 organisms. It is believed that bacteria's…

A: Given query is to find the population after 8 minutes.

Q: ind a formula for f-¹(a) and (f-¹)(a) if f(x)=√ =-¹(x) = f-¹)'(x) =

A: Given query is to find the inverse and the derivative of inverse.

Q: Find an equation of the tangent line to the curve at the given point. y = 6x²x³, (1,5) y = (No…

A:

Q: Use the chain rule to find and, where First the pieces: 2x+y O = 29 6 x + 2y z = x² + xy + y², 4s²+…

A: z=x2+xy+y2x=2s+5ty=5s+6tfrom chain rule ∂z∂s=∂z∂x×∂x∂s+∂z∂y×∂y∂s

Q: Q1 Fill in the Blank a. When yo are given two sides and the angle opposite from one of the sides,…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: The cross product of the two vectors u = and v= is vector: Select one:

A: given vectors are  :-u = 1,5,3       and    v = 7,1,5then we have to find cross  product of these…

Q: Given the function f, find the slope of the line tangent to the graph of f1 at the specified point…

A: Given : f(x)=2x   To Find : Slope of tangent line to the graph f-1 at point9,812

Q: What time after 7 o'clock will the hands of the clock be opposite each other for the first time? a.…

A: To find : After 7’o clock when will the hands of the clock be opposite each other for the first…

Q: please complete the table so it'll be easier to memorise rather than me memorising the graphs.…

A: We need to fill the given table.

Q: 36. 8 What is the constant term in the expansion of (x - ³? a. 600 b. 500 c. 700 d. 750

A:

Q: 2 + 3x and y

A:

Q: Suppose a product's revenue function is given by R(q) = -6q² + 700g, where R(q) is in dollars and q…

A: Given query is to find marginal revenue.

Q: arcsin (sin 37)

A:

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A:

Q: The equation of the plane that passes through the points O(0, 0, 0), P(3, -2, 1) and Q(5, 1, 4) is :…

A:

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

A: The answer is in step2.

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

A:

Q: Use a calculator to approximate the following. arctan (- 95) Round to three decimal places.

A:

Q: find F'(x) for the given function. F(X) = 4x²

A:

Q: Find the area of the shaded region. r = √e R 2 X

A: Given : r=∅r2=∅   shaded region : π≤∅≤2π

Q: 18) An amount of $2000 is invested in an account for 4 years that earns an interest rate of 2.25%.…

A: