f(x)=√x-2 if x>-1; f(-2) 1-(x-2) ifx ≤-1

Q: The vectors (2,10, 4) and (1, 3, x) are orthogonal if and only if x= -8. Ignore "Give your reasons"…

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Q: Consider the definite integral Cx3 dx 0 How many partitions would be needed to approximate this…

A: The given integral is The error bounds for the midpoint rule If  and  be the error in the mid point…

Q: 1) Calculate the derivatives using Implicit differentiation au ᎧᎢ and of (TU – V)²ln(W – UV) = 1 at…

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Q: (3 points) By setting one variable constant, find a plane that intersects the graph of z=3y29x2 +5…

A: (a)z=3y2+5(b)z=−9x2+5(c)z=5Explanation:Given the equation,z=3y2−9x2+5 This surface is a hyperbolic…

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y = stu²…

A: ∂s∂z​=∂t∂z​=∂u∂z​=0,  when s=3,t=1,u=5 Explanation:

Q: Suppose the Maclaurin series f(x) is f(x) = Σ Find the Maclaurin series for the following. f'(x) = Σ…

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Q: Find the area of the region under the graph of the function f on the interval [2,7]. f(x) = 7ex - x

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Q: Express log,A, where A 14 4 3 , , in terms of the logarithms of prime numbers. log₁A = √20 7 148

A: Let me know if you have any doubts. Please rate my answer.Explanation:Step 1: Step 2: Step 3: Step…

Q: The voltage V (in volts) across a resistor in an electric circuit is the product of the resistance…

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Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The required value of directional derivative is 2.3 ( in decimal). In fraction: Directional…

Q: Find the maximum value of w=xyz on the line of intersection of the two planes x+y+z=40 and x+y-z=0.

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Q: Find the Jacobian of the transformation. x = 9uv, y = 6vw, z = 4wu

A: To find :-The Jacobian transformation of

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 4x² -…

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Q: Page

A: The mean value of the probability density function 0  ≤ x ≤ 60 is simply the centroid's…

Q: Sketch a graph of x = = 2t+ 3, y = t + 3. S 3 1 2 3 4 5 -1 -5-4-3-2-1 2 1 -2 -3 45 -4 Clear All…

A: The graph is provided below. The blue line is for y = t + 3 and the red line is for x = 2t + 3 Just…

Q: b) As a spherical balloon is being inflated its radius (in centimeters) after t minutes is given by…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the…

A: (a) degree of the function=5(B) 4 distinct Zeroes = 0,25​,−i,i         In which two are real zeroes…

Q: Compute the mean, median, and mode of the data sample. (If every number of the set is a solution,…

A: The objective of this question is to calculate the mean, median, and mode of the given data set.…

Q: Solve the given system of differential equations by systematic elimination. (D+ 1)x+(D1)y = 8 9x+…

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Q: Consider the following higher degree polynomial function f(x): = -2x² (5-2x) (x² + 1) . d) State the…

A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:…

Q: The tangent line to the graph y = f(x) at (-4, 7) passes by the point (-1, 13). Find the value of f…

A: The slope of a line passing through the points  is given by the formulaThe Tangent line to a…

Q: u × v = (1, 1, 0), ux w = (0, 3, 1), V X W = (2, −1, 1)

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Q: The graph of g′ is given below:  Answer the following questions about the graph of g based on the…

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Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the truth value of the logical statement (Q and P) →…

Q: At the start of an observation, there are 7727.8 grams of a radioactive element present. The number…

A: The value of dt/dN at N = 25 up to 2 decimal places is:(dNdt​)N=25​=50.44Explanation:Given equation:…

Q: Find the second partial derivatives of the function f(x, y) = x³ ³ + 2x²y. дх² = If 2. 3. 4. дудх…

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Q: Use the linear approximation of f(x, y) = 3x+2y at (0,0) to estimat f(-0.02, 0.03)≈

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Q: Find equations of the following. x² - 2y²+ x² + y = 5, (5,3,-2) (a) the tangent plane (b) the normal…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:

Q: Calculus 1 Question. Please help   Thank you

A: Ans : dxdy​=6cos6xExplanation:Explanation:

Q: 2. Let f(x) = cx + In (cos (x)). For what value of c is f' (#)

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Q: Part 2. Simplify the following Case 2 Rational Function to a single fraction: 2 - X g(x) = - 3 1 - X…

A: Horizontal Asymptote: y=2/-1​=−2Therefore, the equation of the horizontal asymptote is y=−2. Below…

Q: Evaluate the following integrals using partial fraction decomposition, when applicable.

A: 16.51​ln∣x−4∣−51​ln∣x+1∣+Cor,51​ln∣∣∣​x+1x−4​∣∣∣​+C17.2ln∣x+2∣−23​ln∣2x+1∣+CExplanation:Step 1:Step…

Q: #6 Find an passing through points (0,3,6), (1,3,9), (-5,3,-1). equation of the plane 72

A: Equation of the plane passing through the given points is y=3.Explanation:To find the equation of…

Q: Answer the following questions for the function defined on the interval [-15, 17]. 3 f(x) x = x² -…

A: a) Vertical Asymptotes   -4, 4 b) Concave Up  (−4,0)∪(4,17) c) Inflection point x-coordinate…

Q: Use undetermined coefficients to find the particular solution to y"-3y-10y=4e³t Yp(t) =

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Q: Let f(x,y) = x2+2xy-2y2-10x. What are the critical points, and the saddle point(s), local…

A: ​Saddle point at (310​,35​)No local maximum, No local minimum​Explanation:Step 1:​Given a…

Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

A: X=-3, X= -4, X=3 Explanation:Step 1: Step 2: Step 3: Step 4:

Q: #2 Find parametric equations of the Line through point Q (3,-1,5) perpendicular to the plane…

A: The parametric equations of the line passing through point Q(3, -1, 5) and perpendicular to the…

Q: See the function in the image uploaded. Answer a) a) To use a limit and find its horizontal…

A: The objective of the question is to find the horizontal asymptote of the given function y = (2x^2 +…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Question 15a. The initial population is 450.b. The population of the colony at 5 hours is 1725.c.…

Q: Let g(x, y, z) = x³y²z√√√18-x-y-z.

A: The given function is

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The detailed solution is provided below.Explanation:

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A: Answer :(a)  62   (b)  423​Explanation:For any query please ask in the comment box.

Q: Find d²y/dx²: y(x) 1 2x-1

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The given vectors a,b and c are not coplanar because,  a.(b x c)=0  Explanation: Given vectors,…

Q: solve and include ristrictions for: In (In e (ext)) = 4 and 1 e X = 2

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Q: Suppose that and 4 -7 A = = 2-5 (a) Evaluate 3A-2B. 8 6 B = ( 1 -31 ) (b) Evaluate (BA)T.

A: (a)     3A−2B=[−44​−33−9​] (b)          (BA)T=[44−86​−28​]Explanation:Giventhat,…

Q: Solve the system of equations 2x - 8y = 148 1x9y=152 by converting to a matrix equation and using…

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Q: Consider the logarithmic function: = g(x) 3 log2(1-x) - 6 a) State the range of this function in…

A: a) (−∞,−6)b)  x = 1c) (−∞,1)Explanation:a)To find the range of the function (g(x)=3log2​(1−x)−6),…

Q: 4. [10 pts] The function Am is defined by Am(t) = A+ Blog(x + 10). The graph of the function goes…

A: A = -1.64386A=log20−15log20−7​ B = 6.64386B=log20−12​  Explanation:Step 1: Step 2: Step 3: Step 4: