Find the derivative of y with respect to x if y = In (7x) S 0 sin (4e¹) dt.

Q: The shorter leg of a right triangle is 5 m shorter than the longer leg. The hypotenuse is 5 m longer…

A: Let longer leg=x m, shorter leg= (x-5) m, hypotenuse= (x+5) m

Q: A company's revenue for selling x (thousand) items is given by R(x) = Find the value of x that…

A: I have solved step by step in detail by considering exact value....with no any approximation...go…

Q: A university alumni group wants to provide a semiannual scholarship to current students. If the…

A:

Q: 4. Evaluate: S 2x+4 x³ - 2x² dx

A:

Q: a. C. e. List critical points of F [² F(x)dx b. f(1) d. [ro f(x)dx F is not continuous at x = - 1…

A: Given: The graph of Fx is given. Fx is the antiderivative of fx.

Q: Use the properties of logarithms to completely expand In Do not include any parentheses in your…

A:

Q: ex - 1 x→0 tanx 7. Find lim A. -1 C. 1

A: The given problem is solved below in detail.

Q: Determine the following derivatives without sin a. d dx [sinh(x)(x2 +7*)]

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given the following equation of a circle in general form, find the equation in standard form by…

A:

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: To apply integral test and check the convergence

Q: Determine whether the series converges absolutely or conditionally, or diverges. Σ(-1)^ n! n = 1 O…

A:

Q: x-3 →3 x² +1° If the limit does not exist, type DNE. Compute the limit lim

A: Here is the solution

Q: 2 16 dx X 3 ln 2

A: To determine whether the following statement is true or false.∫216dxx=3 ln 2

Q: 7. Find N such that for the convergent series Hint: Integral Test Error Estimation. RN ≤0.001 ∞ Σ…

A:

Q: Perform the indicated operation: 3cis(285∘)⋅9cis(277∘) Do not round and type "degree" for the…

A: Given query is performed indicated operation.

Q: Find the partial derivatives 1) z(x, y) = cos(x³ - 4y) (or) of the following functions z (or) and 2…

A: according to bartleby guide line we do only first part of multiple 1)   given…

Q: Find the slope of the graph of y = 6³ +1 at x = 2.

A:

Q: 7. Find a power series representation for the function and determine the interval of convergence.…

A:

Q: Determine the value of x that satisfies the following equation. Provide your answer below: X= log₂…

A:

Q: After 2 minutes, a submarine had descended to -420 feet. After 9 minutes, the submarine had…

A:

Q: Find the slope of the line tangent to the following parameterized curve at the point when t = 4. 6°…

A:

Q: nd the equilibrium point for a product D(x) 2 decimal places.

A: The demand function is given as D(x) = 36 - 0.004x2 The supply function is given as S(x) = 0.005x2

Q: The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers…

A:

Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

A: Given query is to find indicated derivative.

Q: Evaluate the definite integral, So x(1-x)182 dx

A:

Q: Determine the following using the graph off provided below. If the value is infinite, specify ∞o or…

A:

Q: Consider the vector a(t) = (cost, sint) with components that depend on a real number t. As the…

A:

Q: Evaluate the integral: V4-2² 14x² (A) Which trig substitution is correct for this integral? 0x = = 4…

A:

Q: A defense contractor is starting production on a new missile control system. On the basis of data…

A: Setup integral

Q: Consider the function f(x) = -x² +50x100. Find that maximizes the function.

A: dxndx=nxn-1for critical points  put f'(x)=0if f''(x)<0, then  maximum

Q: If a > 0 and b>0, then ln(a + b) = ln a + lnb.

A: We will use the properties of logarithm to determine whether the given statement is true or false

Q: 137 137 suppose that Σ ai = 22 and Σ b; = 27. Compute the i=1 i=1 sum. 137 Σ ( – 4α; – 30b;) i=1

A:

Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 1. f(x)=x²-3x 4+4…

A:

Q: ★ 4. Use the Divergence Theorem to compute curl F. n ds SS aw with F(x, y, z) = (4xy + z², 2x² +…

A: Let's compute by using divergence theorem.

Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

A: we know that  d dx(a.b) =adbdx+bdadxgiven   h(x)=xf(x)+4g(x)

Q: Find the inverse Laplace transform of the following: s+1 (s² + 2s + 2)² 1 s+4 a) c) b) d) 1 (s² +…

A:

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 70x + 0.9x² -…

A:

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 O lim x→a 5 4 lim 2 1 Determine which one of the…

A: Given query is to find which rule has not been followed.

Q: an = n(5 n²+1) n-3 n³

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the derivative of y with respect to t. y=4ýt tanh Vt y' = (Simplify your answer. Type an exact…

A: NOTE: Refresh your page if you can't see any equations. . y=4ttanht take derivative y'=ddt4ttanht…

Q: 2 Find the equation of the tangent line to the curvey == 2:² Give your equation in slope-intercept…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=2 which means the point…

Q: 8. Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: To find the maximum and minimum value of given function.

Q: the Integral Test to determine if the following series converges or diverges. Remember to check that…

A: We need to determine if series converges or not

Q: The marginal cost​ (in dollars per square​ foot) of installing x square feet of kitchen countertop…

A: The marginal cost​ (in dollars per square​ foot) of installing x square feet of kitchen countertop…

Q: Determine the following general antiderivati 3x x (x² – 5)³ dx a.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If 5 11 f(a)da = 9 then the average value of f(x) on the interval [5, 11] is 3/2. O True O False

A:

Q: Assume that sin(x) equals its Maclaurin series for all z. Use the Maclaurin series for sin (32²) to…

A: Here given that,  Sin(x) is a maclaurin series. And using these for Sin(3x2), we have to find out…

Q: In (3x) Find the derivative of y with respect to x if y = | dy dx II sin (2et) dt.

A:

Q: If g(1) = 4 and g' (1) = 3, find f' (1); where f(x) = g(x). Give an exact answer either in terms of…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Suppose that f(x, y) = eª/y on the domain D = {(x, y) | 0 ≤ y ≤ 2,0 ≤ x ≤ y³}. D Q Then the double…

A: