Find the scalar and vector projections of b onto a. a = (4,7,-4) b =(4,-1, 1)

Q: (cos-14x)2 √1-16x² 5) S (t) - dx

A: To find out the integration.

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A: Find the limit of the following limx→11x-1-2x2-1=?

Q: 46. lim h→0 (x + h)³ - x³ h bluow

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Q: (1) f dx x3-2x² (2) S dx x²√ √9-x² (3) fx² sin x dx

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Q: 3. If the derivatives of h with respect to U; for h=²u

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Q: We'll be analyzing the surface area of a round cylinder - in other words, the amount of material…

A: The roots of a quadratic equation ax2+bx+c=0 are given by x=-b±b2-4ac2a

Q: f f(x) = x+5*. find the derivative of this function f'(x) A. f'(x) = 5* In 5 B. f'(x) = -1 + 5* In 5…

A: Here we have to find the derivative of the function.

Q: fcos (x) sin(x) dx -(sin²(x)) + C (sin² (2x)) + C A. B. C. - (sin² (2x)) + C 2 D. (sin²(x)) + C 2

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Q: A bacteria culture starts with 600 bacteria and doubles in size every half hour. Exercise (a)

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: (a) Compute the solutions x, y of the system of two linear equations 3x + y = 1, 2x 6y = 10. (b)…

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Q: Solve the Differential Equations. 3.44 Test for homogeneity 3. f(x, y) tanx - sec²x - cosy

A: Let's find function is homogeneous or not.

Q: Evaluate lim f(x) if f (x) x-5- A B -10-4 D 0 ∞ ∞ = 1 (x - 5) 4

A: To find out the limit.

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A: Concept: A first order homogeneous equation has the standard form dxdy=Fxy. The substitution rule is…

Q: Verify the identity. 1 sin² y M 1 1-sin² y tan² y + 1 Use a Pythagorean Identity in the denominator,…

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Q: Using Table 11-1, compute the amount of compound interest (in $) earned in 1 year and the annual…

A: Solution: Principal = $ 35000;       interest = 12%;     compounded = montly

Q: if f(x) = x + 5* . find the derivative of this function f'(x) A. f'(x) = 5* In 5 B. f'(x) = -1 + 5*…

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Q: thrown

A: Please refer to the image below

Q: Determine the values of k such that the function below has an inverse function. (Select all that…

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Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2 Ans: 2xy" - 4yy"…

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Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

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Q: 1) When using the Newton-Raphson method to solve the equation cos(ax) = x,this is done one of the…

A: The given equation cos(ax)=x Newton-Raphson method algorithm: The method is used to find the…

Q: The height of an object tossed upward with an initial velocity of 80 feet per second is given by the…

A: Given, The height of an object tossed upward with an initial velocity of 80 feet per second is given…

Q: R is the region bounded above by the graph of f(x) = 2 sin (2x²) +2 and below by the x-axis over the…

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Q: 4 3 1 -1 -2 -3. -5 п/2 25 3п/2 2п

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Q: Find the x-values (if any) at which is not continuous. If there are any discontinuities, determine…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim 7 cot(x) X-R

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Q: 4. 2y2 +8y - 10= 0

A: Given problem:- 4.   2y2+8y-10=0

Q: 1 +3 4 2 1 -1 -2 -3 1 1 V = 2 4 The graph above shows the base of an object. Compute the value of…

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Q: if f(x) = x²√√In x² P x A. f'(x) = . find the derivative of this function f'(x) 1-In x² x²√√In x²…

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Q: the xy-plane, centered at the origin, oriented clockwise so that the point (5,0) corresponds to t =…

A: we have to find parametrization of circle.

Q: Calculate 127 y [1/10 ds where C is the parabola r(t) = (t, t², 0). Let 1 ≤ t ≤ 4. X

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Q: Solve for Inverse Laplace

A: Given,           Fs=2s+1s2+4s+2To find : Solve for inverse laplace.

Q: Find any relative extrema of the function. (Round your answers to three decimal places. f(x)=…

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Q: Find the DE of a family of circles with center at (1,-2).  Hint: Equation

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Q: Complete the table below. Assume ƒ and g are one-to-one functions. x -10 6 g(x) (fog)(x) (gof)(x) 7…

A: We have to fill up the table

Q: Find the arclength of the curve r(t) (6 sin t, 2t, 6 cost), -2 < t <2

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Q: Compute the indicated value of the given function 1. f(x) = 3x + 5; ƒ(0), f(-1), f(2) 2. f(t) = (2t…

A: Function

Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

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Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

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Q: Define R as the region bounded by the graphs of f(x) = 3√x and g(x) = over the interval [1, 3].…

A: Given thatRegion bounded by y=x28 , y=3xx=1 and x=3Using cylindrical shell mathod…

Q: Só 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx+a=lnx+a+C

Q: (2cot 2x² - 2e²) dx A. 1/cot 2x³ + 2e²+ C 2

A: To find out the integration of the given function.

Q: 020) In H.G., if AABC~ AA'B'C' (similar)and AB-12, BC=14, AC=16. Then the perimeter of AA'B'C' is:…

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Q: I cos (x) sin(x) dx A. (sin²(x)) + C 2 B. (sin² (2x)) + C 2

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Q: 3 2. f(t) = (2t-1)-²; ƒ(1), ƒ(5), ƒ(13)

A: Given function is f(t)=(2t-1)-32 We need to find its value at, f(1), f(5), f(13)

Q: Solve the following integrals:- (2) S dx (1) Sx3-2x² dx x²√√9-x²

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: Q4: Solve the following integrals:- dx ³-2x² (1) dx (2) √ √2√9-1² (3) fx² sinxdx (cos-14x)² 1-16x²…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: 2. f(t)=√t+ √VE

A: Domain of a function is defined as the set of values of input variable for which the function is…