logx(32) = 5 x =

Q: Find the derivative of y with respect to x; where x = 2 sin t & y = 4 cos t.

A: Given:        x=2sin t       y=4cos t here differentiating with respect to t       dxdt=ddt2sin t…

Q: sinon fex) = Find a fonction fix such that f'(x) = -4e²+ x and f(0) =2 11A 159 26d 1916 126 k

A:

Q: First, compute the gradient of the following function. Then evaluate it at the given point P. F(x,y)…

A:

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = where is the…

A: Topic- Functions We are given P=14.7e-0.21x Where P is the atmospheric pressue in pounds per square…

Q: f(x) = 24 x² + 12

A: To determine the intervals in which the function is concave upward and downward

Q: In the study of the spread of an illicit drug, the number of N of new users can be modelize by the…

A:

Q: -2x² + 7x - 8 - (x + 2) (2x - 1) (1 - x) (A) (B (С) (D -dx = -4 ln x + 2 + In|2x - 1| + ln|1 - x| +…

A:

Q: Find. lim X-0 2-2cosx X

A: use the l hospital rule for finding the limit.

Q: Find the magnitude of the torque exerted by F on the bolt at P if |PQ| = 4 in. and |F| = 30 lb. ...…

A:

Q: Graph the system of inequalities from the given problem, and list the corner points of the feasible…

A: See this solution in below.

Q: Question 15 of 19 View Policies Show Attempt History Current Attempt in Progress Your answer is…

A:

Q: Find the length of the arc of y^3= 8x^2 from x = 1 to x = 4.

A:

Q: Use the integral test to determine whether the following series converge.If it converges, find its…

A: We will find the required.

Q: Find the critical points of the curve: y=1/3 x^3 -1/2 x^2-2x+2 and specify what kind of points are…

A: y=1/3 x^3 -1/2 x^2-2x+2 for find critical point we have to  derivate the function and after take…

Q: (x, y) =(4, 2 Step 5 1/2+² To find the zeros, or x-intercepts of the function, we solve the equation…

A:

Q: Find the general term in the sequence: 3, 13, 27, 45, 67.

A:

Q: In a certain triangle, the measure of angle A is four times as big as the measure of angle C and the…

A: sum of angles of triangles is 180°given A is four times of C A=4C angle B is 150 degrees bigger than…

Q: Study the asymptotic behaviour for n→ +∞ of the sequence 1. an = 1-n² n+3

A: 1. According to the question,Given sequencean = 1-n2n+3

Q: Given f''(x) = 3x − 4 and f'( − 2) = 1 and ƒ( − 2) = 5. Find f'(x) = and find f(2)=

A: Given: So,             f'(x)=∫ 3x-4dx=3x22-4x+C Further,            f'(-2)=1⇒3(-2)22-4(-2)+c=1…

Q: Given that the graph of f(x) passes through the point (5, 6) and that the slope of its tangent line…

A:

Q: Housing PricesThe Estradas are planning to buy a house 4 years from now. Housing experts in their…

A: The present cost of the house = 300,000 dollars  Since the price increases at a rate of 2%/ year…

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the…

A:

Q: ³.f x² lnxdx

A: Given, ∫ x2logxdx

Q: A company manufactures and sells x cellphones per week. The weekly price-deman and cost equations…

A: NOTE: Refresh your page if you can't see any equations. . the given demand function is and the cost…

Q: Find the length of the arc of y^3= 8x^2 from x = 1 to x = 4.

A: Find the length of the arc of y^3= 8x^2  from x = 1 to x = 4

Q: (iii) lim x → 0 16+ x - √16 x

A:

Q: Evaluate dy and Ay for the function below at the indicated values. y=f(x) = 75 (1-2); x = 5, dx= x=…

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Q: Use the Mean Value Theorem and find all points 0<c<2 such that ƒ(2)-f(0) = f'(c) (2-0): f(x)=sin(x).

A: The given function is  f(x)=sinπx,  0&lt;c&lt;2

Q: 1) Given the following graph of the polynomial function f(x), Solutions: x = a) What are the…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is  as we can see from the…

Q: In(x)-In(x-2)=3 Solve for X

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1. Solve the initial value problem y' -1 -2 1 4 2 5 2 -2 0 y, y (0) E 5 -1

A:

Q: Sketch the situation if necessary and use related rates to solve for the quantity. A 10 -ft ladder…

A: Let the horizontal length of bottom of ladder from the wall is x ft and the height of the wall is y…

Q: The concentration of a drug in the body decreases exponentially after a dosage is given. In one…

A: NOTE: Refresh your page if you can't see any equations. . t=number of hours P=concentration of the…

Q: 2x³ + 3x² √1+2x3 dx 2.S 2²/1

A: I = 2∫  2x^3 + 3x^21 + 2x^3dxI = 2∫  2x^3 1 + 2x^3dx + 2∫   3x^21 + 2x^3dxI = 43∫  x . 3x^21 +…

Q: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a…

A:

Q: Find the unknown angle measure. 59 to

A: sum of angles of triangles is 180°59°+90°+x°=180°

Q: Consider the function f(x) whose second derivative is f''(x) f'(0) = 4, what is f(3)? 2x + 2 sin(x).…

A: Topic = Integration

Q: 5 5 it ff(2) dx = -3. [ * f(2) If 1. [² f(x) dx = = [ 5 2. [*[19(x) + 4] dz : = 5 | [₂9(x) dx = ² ·*…

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Q: Determine whether the function's vertex is a maximum point or a minimum point and find the…

A: We have to solve the step 3. Which says that the x-coordinate of the vertex is 4. Use that value in…

Q: Verify that the given vector field h is a gradient. Then calculate the line integral of h over the…

A: We have to calculate the line integral.

Q: Find an equation for the line tangent to the graph of f(x) = -6xe^x at the point (a, f(a)) for a = 2

A: f(x)=-6xexd dx(xn)=nxn-1equation of tangent line is  y=mx+c

Q: Find the length of the curve. -X² + 10x³² 6 y = Need Help? Watch It 2≤x≤4

A:

Q: Use the Mean Value Theorem and find all points 0<c<2 such that f (2) - ƒ (0) =ƒ'(c) · (2-0) : ƒ(x) =…

A: NOTE: Refresh your page if you can't see any equations. . substitute x=2 . substitute x=0

Q: A D в C

A:

Q: SOLVE the ff. D.E. 4.) [x - y arctan & Jdx txarctandy 20

A: Let's solve given diffential equation.

Q: 2. The top and bottom margins of a poster are each 5 cm, and the side margins are each 3 cm. If the…

A: We can find dimension of the poster with the smallest total area.

Q: d) Find a solution of the initial-value problem y'= -y², y(0) = 0.5, making certain to include all…

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

Q: Use the given transformation to evaluate the integral. JJ (₁₂ (12x+16) d4. where R is the…

A:

Q: Rewrite the following logarithms in expanded form by applying the properties of logarithms. a. log…

A:

Q: Find the maximum and the minimum values of f(x,y,z) = 8x - 6y + 5z on the sphere x² + y² + z² = 125.…

A: Let's find maximum and minimum value of given function.