Determine h′(x) if h(x)=(arccos(x))5.

Q: since you cant find an inverse, how do you prove the function is one to one so that you can still…

A: Given: y = 2x + x3Aim: To prove that the y = fx is a one-to-one function. Basic information:A…

Q: Find dy/dx by implicit differentiation. xey = x - y y' =

A: Note : according to our guidelines i can solve only first question please reroute the remaining one.…

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (3z-2x³-2y²-2) b.…

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Q: Find the tangent plane to the equation z = z = > Next Question 5e² -2y at the point (4,8, 5)

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Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

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Q: [6 sin [6 sin(8x) dx = [ Find 6 sin(8x) dx +C

A: To find the integral of 6sin(8x).

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A: If x=c is a critical point of the function f(x) if f(c) exists and if either f'(c) =0 or f'(c) does…

Q: Evaluate the limit using L'Hôpital's Rule. 8 0-2 HIL lim x 0 4(e- e *) sin(2x)

A: To evaluate the limit of the function

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1) 2) t³ + 2t² √t dt √x (x-2) dx

A: Here is the solution:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: Given query is to find rate of change of volume.

Q: Evaluate the expressions. (Simplify your answers completely. Use only positive exponents in your…

A: Algebra

Q: ) It is given to you that an equation of the tangent line to the graph of y = g(x) at X = 16 is…

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Q: f(x) = -4 f(x) = 2 f(x) = ∞ f(x) = -∞ Che following might be a graph of y = f(x)? 2. -7 -6 -5 -4 -3…

A: we will find the required.

Q: 8. Draw a right triangle (with labeled sides) representing the angle (cot-¹(x/2)) and find sin(cot…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the work required to move an object in the force field F = (1,1,2) along the straight line from…

A: Solution is given below:

Q: Find the formula for a cubic polynomial, ax³ + bx² + cx + d, with a critical point at x = 2, an…

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Q: Consider the circle drawn in the xy-plane with center point (-5, 12). (x,y) (a) Determine the radius…

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Q: EC2: Verify that y₁ = 2³ and y., = |aare linearly independent solutions of the differential equation…

A: Two solution are said to be linearly independent if neither function can be put as a constant…

Q: Find dx dt dx dt at x = −5 if y = −4x² – 5 and dy dt = -4.

A: y=-4x2-5given  dydt=-4d dx(xn)=nxn-1d dx(constant)=0

Q: The circumference of a sphere was measured to be 78 cm with a possible error of 0.5 cm. Use linear…

A: Solution: C = 2πr & SA = 4πr2 = C2/π. i.e. surface area as a function of the circumference is…

Q: 5. Set up the integrals for the volumes of solids of revolution by revolving the triangu templates…

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Q: f(x,y)=√y-5x-8 Find the domain of the function. Express the domain so that coefficients have no…

A: The given function fx, y=y-5x-8. We have to find the domain of the function and sketch its graph.

Q: Consider the following function: Step 2 of 4: Determine where the function is increasing and…

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Q: Find f'(-2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1)

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Q: A lighthouse stands 500 m off a straight shore and the focused beam of its light revolves four times…

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Q: Find the slope of the tangent line to the ellip x² y² + 25 4 slope = = 1 at the point (x, y).

A: given ellipse equation is :-x225+y24=1  then we have to find slope  of the tangent  line to ellipse…

Q: Consider the equation x² + y³ + zª − 8xyz = z². Find z point (1,1,1). at the

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Q: The radius of a sphere was measured and found to be 8.0 cm with a possible error in measurement of…

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Q: Solve, (dr + 256x)

A: To solve the following integral problem

Q: 4 6y' – 2y = xy¹, y (0) = -1

A: The given differential equation is: 6y'-2y=xy4        ......1  Initial condition y0=-1

Q: A golfer stands 480 ft (160 yd) horizontally from the hole and 40 ft above the hole (see figure.)…

A: We have to find the angle that the ball be should hit.

Q: Find the area of the region bounded by one petal of the curve given in polar form by the equation r…

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Q: Give a rule of the piecewise-defined function. Give the domain and the range. What is the rule?…

A: Please see the below picture for detailed solution.

Q: A tank initially contains 150 gal of brine in which 60 lb of salt are dissolved. A brine containing…

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Q: Question 5 Find the volume of the body enclosed by a sphere x² + y² + z² = 4 and a cylinder x² + y²…

A: Find the volume?

Q: Evaluate (2x + y)ds, where C is the line segment from (0,2) so (3,-2), i.e., C: r(t) = (3t, 24t), 0…

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Q: Evaluate: lim x ln x. x-0+ 0 O-1

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Q: tion about the origin. hat is the 13. Let T: R2 R2 be the linear transformation such that T(e₁) and…

A: Please see the below picture for detailed solution.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 4) 5) 5x 1(₂57) dx 4 [ (x² + 1)² ax dx

A: solution:   Given data,   4)∫(5x/(x2/3)dx

Q: 12. X S (12t² – 8t) dt

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Q: Find √√√₁² S of a solid 5x d.A over the region R = {(x, y) | 0 ≤ x ≤ 3,0 ≤ y ≤ 6} by identifying it…

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Q: My friend Matt needs help studying the behavior of the function f(x) = (6 + x)² Please use Calculus…

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Q: Given the function f(x): Find the difference quotient f(x+h)-f(x) h Find f'(-2) (This slope should…

A: Since you have posted question with multi parts. As per guidelines we are supposed to answer only…

Q: Consider the following function: Step 4 of 4: Enter the x-values of any relative minima, maxima, and…

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Q: Question 1 A 25 foot chain is hanging from a winch located 25 feet above the ground. If the chain…

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Q: 10. (10x² + 3x5) dx -2

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Q: Give examples of sets of three vectors that are Collinear Coplanar  Not coplanar Explain your…

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Q: A function f is defined for all x. Use the raph of f' to decide: a) Over what intervals is f…

A: Here we have to observe the graph.

Q: dx = 8x³ 8x3 + 3x, y(2) = 0

A: Given query is to solve the differential equation.

Q: Find a function f: R → R that is continuous at exactly one point.

A: We will find the required.