Express the function in the form f o g. (Use non-identity functions for f and g.) u(t) = √✓tan(t) {0 {f(t), g(t)} = X

Q: Find the derivative of the function and evaluate the derivative at given a. 7000 x d de Evaluate the…

A: Given: h(x) = xx a = 1

Q: Please help solve the follow-up question from the above question number 3. if possible then #4,5,…

A:

Q: Verify that the indicated family of functions is a solution of the given differential equation.…

A:

Q: Find the equation of the tangent line to the graph of f(x)=−4xln(x+1) at x=5 Answer:y=

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 -…

A:

Q: question

A:

Q: A 75-lb weight hangs from a string as shown in the figure. Find the tensions T₁ and T₂ in the…

A:

Q: Strontium-90 has a half-life of 28 days. Suppose a sample has an initial mass of 75 mg. a) Find an…

A:

Q: Find the partial derivatives indicated Assume the variables are restricted to a domain on which the…

A:

Q: Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the…

A:

Q: 2) Use logarithmic differentiation to find the derivative of y = e²x 5x+3 x² +1

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A:

Q: Determine the limit and graph the following lim (x²-₁) X-1 (2) him fixtal Х»о Lim √X³-1 X>1

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Evaluate the indefinite integral Ssec² (x) dx

A:

Q: Compute the average value of the function f(t)= t cost² on the interval [0,10].

A:

Q: Find the differential of the function w=x^2sin⁡(y^2z^5) dw=dx+ dy+ dz

A:

Q: Select all of the following that are true for all nxn matrices A and B. AA²-A²A (A+BILA-B)-A²-B²…

A:

Q: Find the equation of the tangent line at x = 3 on the graph of f(x) = x¹. Type your answer in…

A:

Q: y = 2x² - 8x. Determine the slope of the tangent to the function at x = 2.

A:

Q: Evaluate x² dx √9-x²

A: To solve the integral ∫x29-x2dx.   Use the trigonometric identitites: 1). sin2x+cos2x=1 2).…

Q: Pls do fast within 5 minutes and i will give like for sure Solution must be in typed form Find the…

A: To find the volume of a spherical pyramid, we need to know the spherical excess and the radius of…

Q: The age/weight relationship of a particular animal can be estimated by the function -0.024(1-53)…

A: Given age weight relationship M( t ) = 3108e-e-0.024( t - 53 )

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a…

A: Note:- Since you asked multiple question ,according to our policy we can solve first question for…

Q: find the differential equation for following family of curves. Question: 1. circle whose center at…

A: Topic = Differential equation

Q: - 9x - 24 (x + 4)(x + 1) Evaluate ·S -dx + C

A:

Q: Consider the following vector function. Find each of the following. r' (t) = r'(2) = Ir'(2)| r(t) =…

A:

Q: 2 Let A = [3 and B matrices A and B commute? None a -4 For what values of a (if any) do

A:

Q: The system of equations below has solution (a, b) . Find the value of b. 6(2a + b) - 3b = 21 6a + 3b…

A: Given system of equations:- 62a+b-3b=21 and 6a+3b=15

Q: B- Find the equation of the tangent line to the curve y = x² - 2x at x = 3

A:

Q: Evaluate the integral using integration by parts. 1 [x² cos (7x) dx

A: We need to evaluate the following.

Q: A one-parameter family of solutions of the DE P' = P(1-P) is given below. c₁et P = 1 + Does any…

A:

Q: ind the work done by force field F(x, y) = e-vi — xe¯j in moving an object from P(0, 3) to Q(3,0). (

A:

Q: Find all the local maxima, local minima, and saddle points of the function. - 4x² - 4xy + 8x f(x,y)…

A: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = -4x² - 4xy + 8x

Q: Use the Integral Test to determine whether the infinite series is convergent. a. To perform the…

A:

Q: An angler hooks a trout and reels in his line at 3 in./s. Assume the tip of the fishing rod is 13 ft…

A: first define terminology hypotaneous = zperpendicular = yhorizontal distance = x

Q: Evaluate the indefinite integral. 7 [x²e dx 28 + C

A: Given query is to find the integral.

Q: A drug is injected into the bloodstream of a patient. The concentration of the drug in the…

A:

Q: dy Choose the expression equal to dx (Use implicit differentiation.) if sin(xy) = x²

A: Topic = Derivative

Q: A bacteria culture grows with a constant relative growth rate. The bacteria count was 784 after 2…

A: ⇒Pt=P0ekt⇒Pt=Population at time t⇒P0=Initial population⇒k=relative growth rate ⇒t=time in hours

Q: 1. Based on data from the US Census Bureau, the US population in 1990 was approximately 250 million…

A:

Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: Given function f( x, y ) = x4 + y4 + 4x + 4y + 14

Q: The count in a bacteria culture was 500 after 15 minutes and 1700 after 40 minutes. Assuming the…

A:

Q: Find the equation of the tangent plane to the surface z=e^(−2x/17)ln⁡(1y) at the point…

A: Given surface equation:- z=e-2x17ln1y

Q: V = (5,7,8) w = (4, 10, 5) Find the cosine of the angle between v and w. cos = 21.25859

A:

Q: (b) Find the areas under the graphs of f and g from x = 1 to x = t and evaluate for t = 10, 100,…

A:

Q: Success Paid Rs. 2,100

A: yes

Q: - - exi ==√√√x + Sy The rate of change in & at (S,S) as we Change x but hold + fixed is The rate -,…

A: Given z = x + 5y

Q: The demand for a new computer game can be modeled by p(x)=53-4 Inx, for 0≤x≤ 800, where p(x) is the…

A: p(x)=53-4lnx(a)  R(x)=x.p(x)d dx(xn)=nxn-1

Q: y = 4x + 10x². Determine the equation of the tangent to the function at [2, 2]

A: Solution will be given below