Find the derivative of the function. h'(x) = = h(x) = (arccos(x)) In(x)

Q: Let f(x) = { if a < l; -z+k, if = 21 (a) Find the limit of f(r). (i) lim,-1-f(x)=? (i) lim,-1-(2) -7…

A: The given function is

Q: Sketch the situation if necessary and use related rates to solve. A 14 ft ladder is leaning against…

A: A 14-ft ladder is leaning against a wall. If the top of the ladder slides down thewall at a rate of…

Q: The total cost for a certain business, in thousands of dollars, is C(t) = 555 - 138.75e where t is…

A:

Q: Let G=7f-g, where the graphs of f and g are shown in the figure to the right. Find the following…

A: G=7f-g

Q: 12. Find the following: a) sin (sin(3/4)) b) tan(cos ¹(-2/3)) c) sin ¹(cos(4π/3)) d) sine = -4/7, 8…

A: According to our bartleby expert guidelines only first three sub parts are to be answered kindly…

Q: Approximate cos(1.5) using a quadratic approximation:  First note that cos(1.5) ≈ cos(pi/2). Let…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) J 4 16 – (In(x))² dx

A: To find the following indefinite integral.

Q: 1. f(x) = -2 cos x - x on [0, 2π] 2. f(x) = √2 sin x - x on [0, 2π] 3. f(x) = 3 cos 3x on [-T, π] 4.…

A:

Q: The base x of the right triangle in the figure increases at a rate of 5 cm/s, while the height…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The graph of f(x) is shifted left 5 units, down 8 units, stretched horizontally by a factor of 6,…

A:

Q: The general solution to the differential equation, y" (x) = 6x +1 is Oy=x³+²+₁x + C₂ Oy = x³ + + C₁…

A:

Q: (B) sec (√2x+3) (C) sec (√2z+3) 1 (D) sec (√2z+3)* Given that y = In [sec (√2x + 3)], find the…

A:

Q: (d) Over the time interval 0 ≤ t ≤ 6, at what time t is the amount of sand on the beach least? What…

A:

Q: Calculate f¹ (2) for f(x) = x³ - 2x using the difference formula: f(a+h)-f(a) f' (a) limo h Show…

A: Given, .we know,

Q: The following is the graph of y = g(x). Use this graph to compute the following quantities, or state…

A: Find the solution of all parts using the given graph

Q: 6. Find the sine and cosine of the angle that the point (3/5, 4/5) on the unit circle makes with the…

A:

Q: A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

A:

Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: 9x¹2 - 9y¹2 lim (z,y) (1,1) 3x + 3y

A:

Q: Let A be a 3 x 4 matrix with reduced row echelon form given by [10 5 1 3 --- U = 0 1 1 1 If a₁ find…

A:

Q: What value of c in the open interval (0, 16) satisfies the Mean Value Theorem for f(x)=√√15x+16?…

A:

Q: The equation of motion of a particle is s = t³ - 27t, where s is measured in meters and t is in…

A:

Q: Find the following for the function​ f(x) = x/x^2 +1  (h) f(x+h) please help me with this question

A: In this question, we will find f(x+h).

Q: A manufacturer has been selling 1600 television sets a week at $390 each. A market survey indicates…

A:

Q: Fill in the blanks and evaluate the following indefinite integral. 2x / ₁ x 2² x ₁1² dx = [( (x +…

A:

Q: 3. Graph the Exponential Distribution equation f(x): = .8e-8x

A: We have to graph the exponential distribution equation…

Q: Find the value of such that when 0 < x-2 | < 6 then [(5x-6) - 4 | < 0.1 Sh.

A:

Q: Find the average rate of change of f over the interval 0≤x≤2. Find the value of x at which the…

A: To find the average rate of chnage of f over the interval .To find the value of x at which the…

Q: If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f '(1). f(1) = -28 X

A:

Q: find the value of the constant A so that y= A sin 3t satisfies the differential equation y" + 2y = 5…

A:

Q: is the correct form of the partial fraction decomposition of -? + Dx + E x²-x+3

A:

Q: Use the summation formulas to rewrite the expression without the summation notation. S(n) = n j = 1…

A: The given summation formula

Q: Use the Chain Rule to find dw dt 3 t 11/23 " where w = sin 8x cos 3y, x = and y=t5.

A:

Q: Find the derivative. f(x) = tan-¹() f'(x) =

A:

Q: Find the derivative of the function. y' = X ¹ ( 132 a y = tan-1 + In x + a х-а

A:

Q: Evaluate the following limit by direct substitution. Enter the exact answer. Lim (2x² - 1) x→5 =…

A: Limx-5-1)

Q: Find the first partial derivatives of g(x,z) = x In (z²+x6). g|ð 11

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: Given the function f(x) = 7x+3 - 9e Determine the equation of the tangent line at the point (0, -6).

A:

Q: 8. A man standing 20 ft away from the foot of a tower looks at the top with an angle of elevation of…

A:

Q: a. x 2 b. C. lim f(x) d. lim f(x): x+2+ = lim f(x): x 2 Consider the graph of the function y = f (x)…

A: If the function has a left hand limit and right hand limit at a point and both are equal. Then, the…

Q: Find the linear approximation L(x) to y = f(x) near x = a for the function. L(x) = f(x) = sin(x), a…

A: L(x) =f(a)+f'(a)(x-a) .

Q: Evaluate the definite Integral S 3 dx ~ (x² + a)

A:

Q: Use the Special Integration Formulas (Theorem 8.2) to find the indefinite integral. (Remember to use…

A:

Q: Find the time it takes for $7,700 to double when invested at an annual interest rate of 5%,…

A:

Q: A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x…

A: We first find the profit function.

Q: What present value amounts to $510,912.55 if it is invested for 5 years at 30% compounded…

A:

Q: 2. Find the reflex angles. a) 11n/4 radians b) -135

A:

Q: Find the derivative of the function. y = cot² (sin 8) ||

A:

Q: Find the first partial derivatives of the following function. h(x,y,z) = sin (5x + 4y+z) hx =

A:

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: